Air yang terserap oleh tissue merupakan contoh kapilaritas dalam kehidupan sehari-hari, lho! Apa itu kapilaritas dan bagaimana rumusnya? Yuk, kita pelajari!
—
Halo, teman-teman! Apa kabar? Semoga baik, ya! Nah, kali ini, aku ingin mengajak kamu melakukan sebuah eksperimen, nih!
“Wah, eksperimen apa, tuh?”
Namanya, eksperimen kapilaritas! Pada eksperimen ini, kita akan membuktikan terjadinya peristiwa kapilaritas atau disebut juga dengan gaya kapiler.
Apa sih, kapilaritas itu?
Pengertian Kapilaritas
Kapilaritas adalah gejala naik atau turunnya permukaan fluida dalam pipa sempit (kapiler). Untuk membuktikan peristiwa kapilaritas, kita bisa melakukan eksperimen sederhana seperti berikut ini. Adapun alat dan bahan yang kita butuhkan untuk melakukan eksperimen ini, antara lain:
- 3 buah gelas bening
- Pewarna makanan biru dan kuning
- Air
- 2 lembar tissue
Nah, kalau sudah siap, langsung aja lakukan langkah-langkah eksperimen di bawah ini, ya! Langkah-langkahnya yakni sebagai berikut:
- Siapkan 3 buah gelas bening, lalu susun berjajar ke samping. Anggap gelas kiri adalah gelas A, gelas tengah adalah gelas B, dan gelas kanan adalah gelas C.
- Isi gelas A dan C dengan air, sedangkan untuk gelas B, biarkan kosong. Pastikan air di gelas A dan C tingginya sama, seperti pada gambar di bawah, ya!
- Teteskan pewarna makanan kuning ke gelas A, lalu aduk merata hingga warna air berubah menjadi kuning.
- Lakukan hal yang sama pada gelas C, tapi kali ini, gunakan pewarna makanan biru, sehingga air di gelas C berubah warna menjadi biru.
- Selanjutnya, buatlah 2 gulungan tissue, lalu celupkan salah satu gulungan tissue di gelas A dan celupkan gulungan tissue lainnya di gelas C. Kemudian, letakkan ujung atas kedua tissue tersebut hingga tersampir di sisi gelas B.
- Selesai! Sekarang kamu hanya tinggal menunggu beberapa saat hingga terjadi perubahan.
Setelah menunggu beberapa saat, apa yang terjadi? Yap! Air yang berada di gelas A maupun gelas C, akan merambat naik melalui pori-pori tissue hingga akhirnya menetes di gelas B. Gelas B yang semula kosong, lama-kelamaan akan terisi dengan air berwarna hijau, yang merupakan campuran dari air dari gelas A yang berwarna kuning dan air dari gelas C yang berwarna biru.
Gimana? Sudah paham ya sama konsep kapilaritas? Sekarang, lanjut ke pembahasan berikutnya, yuk!
Penerapan Kapilaritas
Contoh penerapan kapilaritas dalam kehidupan salah satunya yaitu pada kompor minyak tanah. Pada kompor minyak tanah, peristiwa kapilaritas dimanfaatkan agar minyak tanah yang berada di bagian bawah kompor, bergerak naik melalui sumbu kompor yang terbuat dari kain yang berpori-pori kecil, sehingga api dapat terus menyala.
Kompor minyak tanah (Sumber: aliexpress.com)
Baca juga: Bunyi Hukum Archimedes, Rumus, dan Penerapannya
Rumus Kapilaritas
Pada peristiwa kapilaritas, kita bisa menghitung naik atau turunnya permukaan fluida. Nah, untuk menghitungnya, kita bisa menggunakan rumus seperti berikut.
Tegangan permukaan pada rumus tersebut maksudnya adalah gaya yang bekerja pada tiap satuan panjang bidang permukaan fluida. Gaya ini timbul karena adanya gaya tarik menarik molekul fluida sehingga pada permukaan, seolah menimbulkan lapisan tipis yang mempunyai kecenderungan menyusut pada luasan permukaan. Itulah yang menyebabkan tetesan air akan berbentuk bulatan saat jatuh di udara.
Sedangkan sudut kontak yang dimaksud dalam rumus tersebut bisa kita peroleh dengan mengukur sudut yang dibentuk antara (perpanjangan) meniskus dengan dinding wadahnya. Meniskus sendiri merupakan bentuk yang seolah ‘melengkung’ pada fluida, yang dipengaruhi oleh sudut kontak. Ada dua macam meniskus, yaitu cekung dan cembung.
Untuk meniskus cekung, sudutnya bernilai antara 0° – 90°, sedangkan untuk meniskus cembung, sudutnya bernilai antara 90° – 180°. Coba perhatikan gambar di bawah ini untuk tahu perbedaan antara meniskus cekung dan meniskus cembung!
Perbedaan meniskus cekung dan meniskus cembung (Sumber: pdfslide.tips)
Dari gambar di atas, dapat dilihat bahwa saat terjadi meniskus cekung, permukaan fluida dalam pipa kapiler akan naik. Sebaliknya, saat terjadi meniskus cembung, permukaan fluida dalam pipa kapiler akan turun.
Meniskus cekung terjadi pada air yang berada dalam wadah kaca, karena air memiliki gaya adhesi lebih besar (kuat) dibandingkan gaya kohesinya. Sebaliknya, meniskus cembung terjadi pada raksa yang berada dalam wadah kaca, karena raksa memiliki gaya kohesi lebih besar dibandingkan gaya adhesinya.
Hmm.. apa itu gaya kohesi dan adhesi?
Kohesi dan Adhesi
Kohesi adalah gaya tarik-menarik antar partikel yang sejenis. Sedangkan adhesi adalah gaya tarik menarik antar partikel yang berbeda jenis.
Jika gaya kohesi lebih besar daripada gaya adhesi, maka akan timbul meniskus cembung pada permukaan fluida. Contohnya yaitu raksa yang berada dalam wadah kaca. Sebaliknya, jika gaya adhesi lebih besar daripada gaya kohesi, maka akan timbul meniskus cekung pada permukaan fluida. Contohnya yaitu air yang berada dalam wadah kaca.
Contoh Soal Kapilaritas
Sekarang, kita coba latihan soal, yuk! Perhatikan soal di bawah ini!
Sebuah tabung kaca kapiler dengan jari-jari 1 mm dimasukkan ke dalam air sehingga permukaan air dalam tabung kaca naik sebesar 5 cm. Jika massa jenis air adalah 1000 kg/m3 dan tegangan permukaannya sebesar 0,5 N/m, maka berapakah besar sudut kontak antara permukaan air dan dinding tabung kaca?
Penyelesaian:
Jadi, besar sudut kontaknya adalah 60°.
Nah, itu dia pembahasan kita tentang kapilaritas, mulai dari pengertian, contohnya dalam kehidupan sehari-hari, rumus, hingga pembahasan mengenai kohesi dan adhesi. Gimana, guys? Sekarang, jadi lebih paham kan? Nah, kalau sudah paham, yuk coba kerjakan latihan soal dan tryout di ruanguji!
Sumber Gambar:
Gambar ‘Kompor minyak tanah’ [Daring]. Tautan: https://id.aliexpress.com/item/4001073682892.html (Diakses: 2 Desember 2021).
Gambar ‘Perbedaan meniskus cekung dan meniskus cembung’ [Daring]. Tautan: https://pdfslide.tips/documents/rpp-dan-lds-kohesi-adhesi.html (Diakses: 2 Desember 2021).
Artikel ini pertama kali ditulis oleh Aulia Annaisabiru E. dan telah diperbarui oleh Kenya Swawikanti pada 2 Desember 2021.
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<h1 class="content-title">
Kapilaritas: Pengertian, Penerapan, Rumus, dan Contoh Soal | Fisika Kelas 11 </h1>
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<p class="content-author"><a href="https://www.ruangguru.com/blog/author/kenya-swawikanti" class="">Kenya Swawikanti</a> </p>
<p class="content-info"><span>December 8, 2021 • </span> <span>5 minutes read</span></p>
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<p style="text-align: justify;"><span style="color: #000000;"><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/11FIS%20-%20Kapilaritas-%20Pengertian%2c%20Rumus%20dan%20Contohnya%20dalam%20Kehidupan%20Sehari-hari-01.jpg" alt="11FIS - Kapilaritas- Pengertian, Rumus dan Contohnya dalam Kehidupan Sehari-hari-01" width="820" loading="lazy" style="width: 820px; margin-left: auto; margin-right: auto; display: block;"></span></p>
<blockquote>
<p style="text-align: center;"><em><span style="color: #000000;">Air yang terserap oleh tissue merupakan contoh kapilaritas dalam kehidupan sehari-hari, lho! </span><span style="color: #000000;">Apa itu kapilaritas dan bagaimana rumusnya? Yuk, kita pelajari!</span></em></p>
<p style="text-align: center;"><em><span style="color: #000000;">—</span></em></p>
</blockquote>
<p style="text-align: justify;"><span style="color: #000000;"><span id="more-4120"></span></span></p>
<p style="text-align: justify;"> </p>
<p style="text-align: justify;">Halo, teman-teman! Apa kabar? Semoga baik, ya! Nah, kali ini, aku ingin mengajak kamu melakukan sebuah eksperimen, nih!</p>
<p style="text-align: justify;"><em>“Wah, eksperimen apa, tuh?”</em></p>
<p style="text-align: justify;">Namanya, eksperimen kapilaritas! Pada eksperimen ini, kita akan membuktikan terjadinya peristiwa <strong>kapilaritas</strong> atau disebut juga dengan <strong>gaya kapiler</strong>. </p>
<p style="text-align: justify;">Apa sih, kapilaritas itu?</p>
<p style="text-align: justify;"> </p>
<h2 style="text-align: justify; font-weight: bold; font-size: 20px;">Pengertian Kapilaritas</h2>
<p style="text-align: justify;">Kapilaritas adalah <span style="font-weight: bold;">gejala naik atau turunnya permukaan <a href="/blog/penerapan-hukum-bernoulli" rel="noopener">fluida</a> dalam pipa sempit (kapiler)</span>. Untuk membuktikan peristiwa kapilaritas, kita bisa melakukan eksperimen sederhana seperti berikut ini. Adapun <span style="font-weight: normal;">alat dan bahan</span> yang kita butuhkan untuk melakukan eksperimen ini, antara lain:</p>
<ul>
<li aria-level="1">3 buah gelas bening</li>
<li aria-level="1">Pewarna makanan biru dan kuning</li>
<li aria-level="1">Air</li>
<li aria-level="1">2 lembar <em>tissue</em></li>
</ul>
<p style="text-align: justify;">Nah, kalau sudah siap, langsung aja lakukan <span style="font-weight: normal;">langkah-langkah</span> eksperimen di bawah ini, ya! Langkah-langkahnya yakni sebagai berikut:</p>
<ul>
<li aria-level="1">Siapkan 3 buah gelas bening, lalu susun berjajar ke samping. Anggap gelas kiri adalah gelas A, gelas tengah adalah gelas B, dan gelas kanan adalah gelas C.</li>
<li aria-level="1">Isi gelas A dan C dengan air, sedangkan untuk gelas B, biarkan kosong. Pastikan air di gelas A dan C tingginya sama, seperti pada gambar di bawah, ya!</li>
<li aria-level="1">Teteskan pewarna makanan kuning ke gelas A, lalu aduk merata hingga warna air berubah menjadi kuning.</li>
<li aria-level="1">Lakukan hal yang sama pada gelas C, tapi kali ini, gunakan pewarna makanan biru, sehingga air di gelas C berubah warna menjadi biru.</li>
<li aria-level="1">Selanjutnya, buatlah 2 gulungan <em>tissue</em>, lalu celupkan salah satu gulungan <em>tissue</em> di gelas A dan celupkan gulungan <em>tissue</em> lainnya di gelas C. Kemudian, letakkan ujung atas kedua <em>tissue</em> tersebut hingga tersampir di sisi gelas B.</li>
<li aria-level="1">Selesai! Sekarang kamu hanya tinggal menunggu beberapa saat hingga terjadi perubahan.</li>
</ul>
<p style="text-align: justify;">Setelah menunggu beberapa saat, apa yang terjadi? <em>Yap</em>! <span style="font-weight: bold;">Air yang berada di gelas A maupun gelas C</span>, akan <span style="font-weight: bold;">merambat naik melalui pori-pori <em>tissue</em></span> hingga akhirnya <span style="font-weight: bold;">menetes di gelas B</span>. Gelas B yang semula kosong, lama-kelamaan akan terisi dengan air berwarna <span style="font-weight: bold;">hijau</span>, yang merupakan <span style="font-weight: bold;">campuran</span> dari <span style="font-weight: bold;">air dari gelas A</span> yang berwarna kuning <span style="font-weight: bold;">dan air dari gelas C</span> yang berwarna biru.</p>
<p style="text-align: justify;"> </p>
<p style="text-align: justify;"><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/11FIS%20-%20Kapilaritas-%20Pengertian%2c%20Rumus%20dan%20Contohnya%20dalam%20Kehidupan%20Sehari-hari-03.jpg" alt="11FIS - Kapilaritas- Pengertian, Rumus dan Contohnya dalam Kehidupan Sehari-hari-03" width="600" loading="lazy" style="width: 600px; margin-left: auto; margin-right: auto; display: block;"></p>
<p style="text-align: justify;"> </p>
<p style="text-align: justify;">Gimana? Sudah paham ya sama konsep kapilaritas? Sekarang, lanjut ke pembahasan berikutnya, yuk!</p>
<p style="text-align: justify;"> </p>
<h2 style="text-align: justify; font-weight: bold; font-size: 20px;">Penerapan Kapilaritas</h2>
<p style="text-align: justify;">Contoh penerapan kapilaritas dalam kehidupan salah satunya yaitu pada <span style="font-weight: bold;">kompor minyak tanah</span>. Pada kompor minyak tanah, peristiwa kapilaritas dimanfaatkan<span style="color: #000000;"><span> agar</span></span><span style="color: #000000;"> </span><span style="background-color: transparent;"><span style="font-weight: bold;">minyak tanah</span> yang berada di bagian bawah kompor, <span style="font-weight: bold;">bergerak naik melalui sumbu kompor</span> yang terbuat dari kain yang berpori-pori kecil, sehingga api dapat terus menyala.</span></p>
<p style="text-align: justify;"> </p>
<p style="text-align: center;"><span style="background-color: transparent;"><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/kompor%20minyak%20tanah.jpg" alt="kompor minyak tanah" width="600" loading="lazy" style="width: 600px; margin-left: auto; margin-right: auto; display: block;"></span><span style="background-color: transparent;"></span></p>
<p style="text-align: center;"><em><span style="background-color: transparent;">Kompor minyak tanah (Sumber: aliexpress.com)</span></em></p>
<p style="text-align: justify; font-size: 16px; font-weight: bold;"> </p>
<p style="text-align: justify; font-size: 16px; font-weight: bold;"><span style="background-color: transparent;">Baca juga: <a href="/blog/penerapan-hukum-archimedes" rel="noopener">Bunyi Hukum Archimedes, Rumus, dan Penerapannya</a></span></p>
<p style="text-align: justify; font-size: 16px; font-weight: bold;"> </p>
<h2 style="text-align: justify; font-weight: bold; font-size: 20px;"><span style="background-color: transparent;">Rumus Kapilaritas</span></h2>
<p style="text-align: justify;"><span style="background-color: transparent;">Pada peristiwa kapilaritas, kita bisa <span style="font-weight: bold;">menghitung naik atau turunnya permukaan fluida</span>. Nah, untuk menghitungnya, kita bisa menggunakan rumus seperti berikut.</span></p>
<p style="text-align: justify;"> </p>
<p style="text-align: justify;"><span style="background-color: transparent;"><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/11FIS%20-%20Kapilaritas-%20Pengertian%2c%20Rumus%20dan%20Contohnya%20dalam%20Kehidupan%20Sehari-hari-04.jpg" alt="11FIS - Kapilaritas- Pengertian, Rumus dan Contohnya dalam Kehidupan Sehari-hari-04" width="600" loading="lazy" style="width: 600px; margin-left: auto; margin-right: auto; display: block;"></span></p>
<p style="text-align: justify;"> </p>
<p style="text-align: justify;"><span style="background-color: transparent;"><span style="font-weight: bold;">Tegangan permukaan </span><span style="font-weight: normal;">pada rumus tersebut maksudnya adalah <span style="font-weight: bold;">gaya yang bekerja pada tiap satuan panjang bidang permukaan fluida</span>. Gaya ini timbul karena adanya gaya tarik menarik molekul fluida sehingga pada permukaan, seolah menimbulkan lapisan tipis yang mempunyai kecenderungan menyusut pada luasan permukaan. Itulah yang menyebabkan tetesan air akan berbentuk bulatan saat jatuh di udara.</span></span></p>
<p style="text-align: justify;"><span style="background-color: transparent;"><span style="font-weight: normal;">Sedangkan</span><span style="font-weight: bold;"> sudut kontak</span> yang dimaksud dalam rumus tersebut bisa kita peroleh dengan <span style="font-weight: bold;">mengukur sudut yang dibentuk antara (perpanjangan) meniskus dengan dinding wadahnya</span><span style="font-weight: normal;">. Meniskus sendiri merupakan bentuk yang seolah ‘melengkung’ pada fluida, yang dipengaruhi oleh sudut kontak.</span></span><span style="background-color: transparent;"> Ada dua macam meniskus, yaitu <span style="font-weight: bold;">cekung dan cembung</span>. </span></p>
<p style="text-align: justify;"><span style="background-color: transparent;">Untuk <span style="font-weight: bold;">meniskus cekung</span>, sudutnya bernilai antara <span style="font-weight: bold;">0° – 90°</span>, sedangkan untuk <span style="font-weight: bold;">meniskus cembung</span>, sudutnya bernilai antara <span style="font-weight: bold;">90° – 180°</span>. </span><span style="background-color: transparent;">Coba perhatikan gambar di bawah ini untuk tahu <span style="font-weight: bold;">perbedaan</span> antara <span style="font-weight: bold;">meniskus cekung dan meniskus cembung</span>!</span></p>
<p style="text-align: justify;"> </p>
<p style="text-align: justify;"><span style="background-color: transparent;"><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/sudut%20meniskus%20cekung%20dan%20cembung.png" alt="sudut meniskus cekung dan cembung" width="600" loading="lazy" style="width: 600px; margin-left: auto; margin-right: auto; display: block;"></span></p>
<p style="text-align: center;"><em><span style="background-color: transparent;">Perbedaan meniskus cekung dan meniskus cembung (Sumber: pdfslide.tips)</span></em></p>
<p style="text-align: justify;"> </p>
<p style="text-align: justify;"><span style="font-weight: 400;">Dari gambar di atas, dapat dilihat bahwa saat terjadi <span style="font-weight: bold;">meniskus cekung</span>, <span style="font-weight: bold;">permukaan fluida</span> dalam pipa kapiler <span style="font-weight: bold;">akan naik</span>. Sebaliknya, saat terjadi <span style="font-weight: bold;">meniskus cembung</span>, <span style="font-weight: bold;">permukaan fluida</span> dalam pipa kapiler <span style="font-weight: bold;">akan turun</span>. </span></p>
<p style="text-align: justify;"><span style="font-weight: 400;"><span style="font-weight: bold;">Meniskus cekung</span> terjadi pada <span style="font-weight: bold;">air</span> yang berada dalam wadah kaca, karena air memiliki <span style="font-weight: bold;">gaya adhesi lebih besar (kuat)</span> dibandingkan gaya kohesinya. Sebaliknya, <span style="font-weight: bold;">meniskus cembung</span> terjadi pada <span style="font-weight: bold;">raksa</span> yang berada dalam wadah kaca, karena raksa memiliki <span style="font-weight: bold;">gaya kohesi lebih besar</span> dibandingkan gaya adhesinya.</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;"><em>Hmm</em>.. apa itu gaya kohesi dan adhesi?</span></p>
<p style="text-align: justify;"> </p>
<h2 style="text-align: justify; font-weight: bold; font-size: 20px;">Kohesi dan Adhesi</h2>
<p style="text-align: justify;"><span style="font-weight: 400;"><span style="font-weight: bold;">Kohesi</span> adalah <span style="font-weight: bold;">gaya</span> <span style="font-weight: bold;">tarik-menarik</span> antar partikel yang <span style="font-weight: bold;">sejenis</span>. </span><span style="font-weight: 400;">Sedangkan <span style="font-weight: bold;">adhesi</span> adalah <span style="font-weight: bold;">gaya tarik menarik</span> antar partikel yang <span style="font-weight: bold;">berbeda jenis</span>. </span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Jika <span style="font-weight: bold;">gaya kohesi lebih besar</span> daripada gaya adhesi, maka akan timbul <span style="font-weight: bold;">meniskus cembung</span> pada permukaan fluida. Contohnya yaitu <span style="font-weight: bold;">raksa</span> yang berada <span style="font-weight: bold;">dalam wadah kaca</span>. </span><span style="font-weight: 400;">Sebaliknya, jika <span style="font-weight: bold;">gaya adhesi lebih besar</span> daripada gaya kohesi, maka akan timbul <span style="font-weight: bold;">meniskus cekung</span> pada permukaan fluida. Contohnya yaitu <span style="font-weight: bold;">air</span> yang berada <span style="font-weight: bold;">dalam wadah kaca</span>.</span><span style="color: #000000;"></span></p>
<p style="text-align: justify;"> </p>
<h2 style="text-align: justify; font-weight: bold;"><span style="font-size: 20px;">Contoh Soal Kapilaritas</span></h2>
<p style="text-align: justify;"><span style="font-weight: 400;">Sekarang, kita coba latihan soal, yuk! Perhatikan soal di bawah ini!</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Sebuah tabung kaca kapiler dengan jari-jari 1 mm dimasukkan ke dalam air sehingga permukaan air dalam tabung kaca naik sebesar 5 cm. Jika massa jenis air adalah 1000 kg/m<sup>3</sup> dan tegangan permukaannya sebesar 0,5 N/m, maka berapakah besar sudut kontak antara permukaan air dan dinding tabung kaca?</span><span style="font-weight: 400;"></span></p>
<p style="text-align: justify; font-weight: bold;">Penyelesaian:</p>
<p style="text-align: justify;"><span style="font-weight: 400;"><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/fis%201-4.png" alt="fis 1-4" width="192" loading="lazy" style="width: 192px;"> </span></p>
<p style="text-align: justify;"><span style="font-weight: 400;"><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/fis%202-4.png" alt="fis 2-4" width="355" loading="lazy" style="width: 355px;"></span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Jadi, besar sudut kontaknya adalah <span style="font-weight: bold;">60°</span>.</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Nah, itu dia pembahasan kita tentang kapilaritas, mulai dari pengertian, contohnya dalam kehidupan sehari-hari, rumus, hingga pembahasan mengenai kohesi dan adhesi. </span><span style="color: #000000;"></span>Gimana, <em>guys</em>? Sekarang, jadi lebih paham kan? Nah, kalau sudah paham, yuk coba kerjakan latihan soal dan tryout di <a href="https://ruangguru.onelink.me/blPk/3b1dd5cf" rel="noopener" target="_blank"><span style="font-weight: bold;">ruanguji</span></a>!</p>
<p style="text-align: justify;"> </p>
<p><span style="color: #000000;"></span></p>
<p style="text-align: center;"><em><a href="https://www.ruangguru.com/ruanguji" target="_blank" style="text-align: center;" class="rg-cta" rel="noopener"><img fetchpriority="high" decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/cta/4d67385e-8dfc-4cd3-8931-2ec9d1ca1c6d.jpeg" width="820" height="200" alt="IDN CTA Blog ruanguji Ruangguru" /></a></em></p>
<p style="font-weight: bold; text-align: left;"> </p>
<p style="font-weight: bold; text-align: left;">Sumber Gambar:</p>
<p style="text-align: left;">Gambar ‘Kompor minyak tanah’ [Daring]. Tautan: https://id.aliexpress.com/item/4001073682892.html (Diakses: 2 Desember 2021).</p>
<p style="text-align: left;">Gambar ‘Perbedaan meniskus cekung dan meniskus cembung’ [Daring]. Tautan: https://pdfslide.tips/documents/rpp-dan-lds-kohesi-adhesi.html (Diakses: 2 Desember 2021).</p>
<p style="text-align: justify; font-weight: bold;"> </p>
<p style="text-align: justify; font-weight: bold;"><em>Artikel ini pertama kali ditulis oleh Aulia Annaisabiru E. dan telah diperbarui oleh Kenya Swawikanti pada 2 Desember 2021.</em></p>
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<a target="_blank" rel="nofollow" href="https://play.google.com/store/apps/details?id=com.ruangguru.livestudents&hl=in">
<img src="https://cdn-web-2.ruangguru.com/static/googleplay.png" loading="lazy" alt="Button Google Play Footer " />
</a>
</li>
<li>
<a target="_blank" rel="nofollow" href="https://appgallery.huawei.com/#/app/C102352375">
<img src="https://cdn-web-2.ruangguru.com/static/huawei.png" loading="lazy" alt="Button AppGallery Footer " />
</a>
</li>
</ul>
</div>
</nav>
</div>
</div>
</div>
</div>
<div class="d-lg-none text-center">
<nav class="footer-menu social">
<p class="title">Ikuti Kami</p>
<a target="_blank" href="https://www.instagram.com/ruangguru/">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/instagram.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/instagram.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/instagram.png" loading="lazy" alt="Logo Instagram Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.facebook.com/ruanggurucom/">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/facebook.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/facebook.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/facebook.png" loading="lazy" alt="Logo Facebook Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://twitter.com/ruangguru/">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/twitter.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/twitter.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/twitter.png" loading=" lazy" alt="Logo Twitter Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.youtube.com/ruangguru">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/youtube.png?height=60&convert=webp" type="image/webp">
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<img src="https://cdn-web-2.ruangguru.com/static/youtube.png" loading=" lazy" alt="Logo Youtube Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.linkedin.com/company/ruangguru-com">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/linkedin.png?height=60&convert=webp" type="image/webp">
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<img src="https://cdn-web-2.ruangguru.com/static/linkedin.png" loading=" lazy" alt="Logo LinkedIn Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.tiktok.com/@ruangguru">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/tiktok.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/tiktok.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/tiktok.png" loading=" lazy" alt="Logo TikTok Footer" width="32px" height="32px" />
</picture>
</a>
</nav>
</div>
<p class="footer-copyright">
© 2026 All Rights Reserved PT. Ruang Raya Indonesia
</p>
</div>
<style>
.bantuan-container {
position: relative;
}
.bantuan-element {
position: fixed;
z-index: 999;
display: flex;
align-items: flex-end;
justify-content: flex-end;
cursor: pointer;
transition: all 0.6s ease;
}
.bantuan-top {
bottom: 11rem;
right: 2rem;
}
.bantuan-bottom {
bottom: 2rem;
right: 2rem;
}
.bantuan-top-2 {
bottom: 15rem;
right: 2rem;
}
.bantuan-top-3 {
bottom: 19rem;
right: 2rem;
}
.bantuan-bottom-2 {
bottom: 5rem;
right: 2rem;
}
.bantuan-bottom-3 {
bottom: 8rem;
right: 2rem;
}
@media (min-width: 768px) {
.bantuan-element img {
width: auto;
transition: all 0.4s ease;
}
.bantuan-top img {
width: 140px;
}
.bantuan-bottom img {
width: 140px;
}
.bantuan-top-2 img,
.bantuan-top-3 img {
width: 140px;
}
.bantuan-bottom-2 img,
.bantuan-bottom-3 img {
width: 140px;
}
.bantuan-element.clicked {
bottom: 9rem;
right: 2.5rem;
}
.bantuan-element.clicked img {
width: auto;
height: 64px;
}
}
@media (max-width: 767px) {
.bantuan-top {
bottom: 8rem;
right: 1rem;
align-items: center;
}
.bantuan-bottom {
bottom: 2rem;
right: 1.25rem;
align-items: center;
}
.bantuan-top-2 {
bottom: 12rem;
right: 1rem;
align-items: center;
}
.bantuan-top-3 {
bottom: 16rem;
right: 1rem;
align-items: center;
}
.bantuan-bottom-2 {
bottom: 5rem;
right: 1.25rem;
align-items: center;
}
.bantuan-bottom-3 {
bottom: 8rem;
right: 1.25rem;
align-items: center;
}
.bantuan-element img {
width: auto;
}
.bantuan-top img,
.bantuan-top-2 img,
.bantuan-top-3 img {
width: 96px;
}
.bantuan-bottom img,
.bantuan-bottom-2 img,
.bantuan-bottom-3 img {
width: 96px;
}
}
.bantuan-element:hover {
transform: scale(1.05);
}
.bantuan-element img {
max-width: 100%;
height: auto;
}
</style>
<div id="bantuan-divs-container" style="position: relative" data-product="ruangguru" data-table="rg_floating_icon"></div>
<script>
class FloatingDivsComponent {
constructor(product = 'ruangguru', table = 'rg_floating_icon') {
this.container = document.getElementById('bantuan-divs-container');
this.floatingElements = [];
this.product = product;
this.table = table;
// Configuration
this.config = {
baseApiUrl: 'https://gw.ruangguru.com/api/v3/rdb/p_ddgy8hjx5dxsqx/rg_banner/views/',
apiKey: 'vLyK3dJrDBRmOwueX2OJXibMkgsUbBk0WS4ua2p1',
maxElements: 2,
zIndexBase: 100,
};
// Build dynamic API URL based on table parameter
this.config.apiUrl = this.buildApiUrl();
this.init();
}
buildApiUrl() {
const baseUrl = this.config.baseApiUrl;
const tableName = this.table || 'rg_floating_icon';
const queryParams =
'offset=0&limit=99999&sort=rankPosition&where=(type,eq,floating)~and(showIn,anyof,blog)~and(hide,is,false)~and(product,eq,' +
this.product +
')&nested%5Bcta%5D%5Bfields%5D=Id,name,ctaId,imageUrl,ctaLink,targetUrl';
return `${baseUrl}${tableName}?${queryParams}`;
}
async init() {
try {
await this.fetchFloatingElements();
this.renderFloatingElements();
} catch (error) {
console.error('Failed to initialize floating divs component:', error);
}
}
async fetchFloatingElements() {
try {
const options = {
method: 'GET',
headers: {
'xc-token': this.config.apiKey || 'vLyK3dJrDBRmOwueX2OJXibMkgsUbBk0WS4ua2p1',
},
};
const urlNoco = this.config.apiUrl;
const response = await fetch(urlNoco, options);
if (!response.ok) {
throw new Error(`HTTP error! status: ${response.status}`);
}
const data = await response.json();
this.floatingElements = this.processApiResponse(data);
} catch (error) {
console.error('Error fetching floating elements:', error);
throw error;
}
}
processApiResponse(data) {
if (!data || !data.list || !Array.isArray(data.list)) {
return [];
}
console.log(data.list);
// Ensure we only get maximum 2 elements
const limitedElements = data.list.slice(0, this.config.maxElements);
return limitedElements;
}
renderFloatingElements() {
if (!this.container || this.floatingElements.length === 0) {
return;
}
// Additional safeguard: ensure we never render more than maxElements
const elementsToRender = this.floatingElements.slice(0, this.config.maxElements);
// Clean up existing elements and their event listeners
this.cleanupExistingElements();
// Clear existing content
this.container.innerHTML = '';
elementsToRender.forEach((element, index) => {
const floatingDiv = this.createFloatingDiv(element, index);
this.container.appendChild(floatingDiv);
});
}
cleanupExistingElements() {
// Clear existing elements (no need for event listener cleanup with CSS approach)
const existingElements = this.container.querySelectorAll('[data-floating-element]');
existingElements.forEach(element => {
element.remove();
});
}
createFloatingDiv(element, index) {
const div = document.createElement('div');
const cta = element.cta[0]; // Use the first CTA
// Add data attribute for cleanup tracking
div.setAttribute('data-floating-element', 'true');
// Apply CSS classes based on rankPosition
const positionClass = this.getPositionClass(element.rankPosition, index);
div.className = `bantuan-element ${positionClass}`;
div.style.zIndex = this.config.zIndexBase + index;
// Create the link and image
const link = document.createElement('a');
link.href = 'https://cta.ruangguru.com/' + cta.ctaId || '#';
link.target = '_blank';
// Add tracking attributes
link.setAttribute('data-tracking-event-type', 'landing_page__core__item_click');
link.setAttribute(
'data-tracking-context',
JSON.stringify({
product_name: this.product,
cta_action: 'redirection',
cta_action_detail: link.href,
item_type: 'floating',
item_name: element.name || 'Floating element',
item_category: 'payment',
item_position: index,
item_serial: null,
section_type: 'floating_item',
section_position: 'body',
section_name: 'floating_item',
})
);
const img = document.createElement('img');
img.src = element.imageUrl + '?h=200&convert=webp';
img.alt = element.name || 'Floating element';
img.loading = 'lazy';
// Add click tracking
link.addEventListener('click', () => {
this.trackClick(element, cta);
});
link.appendChild(img);
div.appendChild(link);
return div;
}
getPositionClass(rankPosition, index) {
// Define positioning classes based on rankPosition
if (rankPosition === 1) {
return 'bantuan-top'; // Top position
} else if (rankPosition === 2) {
return 'bantuan-bottom'; // Bottom position
} else {
// For additional elements, distribute them evenly
return `bantuan-${index % 2 === 0 ? 'top' : 'bottom'}-${Math.floor(index / 2) + 1}`;
}
}
trackClick(element, cta) {
// Implement click tracking logic here
console.log('Floating element clicked:', {
elementId: element.Id,
elementName: cta.name,
ctaId: cta.ctaId,
targetUrl: cta.targetUrl,
});
}
// Public method to manually refresh
async refresh() {
try {
await this.fetchFloatingElements();
this.renderFloatingElements();
} catch (error) {
console.error('Failed to refresh floating elements:', error);
throw error;
}
}
// Public method to get current floating elements
getFloatingElements() {
return [...this.floatingElements];
}
}
// Initialize the component when DOM is ready
document.addEventListener('DOMContentLoaded', () => {
// Get product and table parameters from data attributes
const container = document.getElementById('bantuan-divs-container');
const product = container.getAttribute('data-product') || 'ruangguru';
const table = container.getAttribute('data-table') || 'rg_floating_icon';
new FloatingDivsComponent(product, table);
});
// Export for use in other modules if needed
if (typeof module !== 'undefined' && module.exports) {
module.exports = FloatingDivsComponent;
}
</script> <div id="wp-install-nudge" style="
position: fixed;
bottom: 0rem;
right: 0;
z-index: 999;
cursor: pointer;
"></div>
<script>
(function (w, d, s, o, f, js, fjs) {
w['Sales-Nudge-Widget'] = o; w[o] = w[o] || function () { (w[o].q = w[o].q || []).push(arguments) };
js = d.createElement(s), fjs = d.getElementsByTagName(s)[0];
js.id = o; js.src = f; js.async = 1; fjs.parentNode.insertBefore(js, fjs);
}(window, document, 'script', 'wpInstallNudge', 'https://cdn-web-2.ruangguru.com/sales-nudge/6198a95130/dist/widget.js'));
wpInstallNudge('init', { targetElementId: 'wp-install-nudge', clientTarget: 'ruangguru_blog' });
</script>
<script>
// note: disabled due to auto reload page
// var lastScrollTop = 0;
// $(window).scroll(function(event){
// var st = $(this).scrollTop();
// if (st > lastScrollTop){
// $('#wp-install-nudge').slideDown( "slow", function() {});
// } else {
// $('#wp-install-nudge').slideUp( "slow", function() {});
// }
// lastScrollTop = st;
// });
// $(document).ready(function () {
// $("#wp-install-nudge").hide();
// });
$('#wp-install-nudge').click(function(){
Analytics.track("promotion__install_nudge__click",
{
user_email: "ruangguru@blog.com",
cta_link: widgetData.dataConfig.target_link
}).catch((err) => {
console.log("tracker error", err);
});
});
</script>
</footer>
<div id="__next"></div>
<script type="speculationrules">
{"prefetch":[{"source":"document","where":{"and":[{"href_matches":"\/blog\/*"},{"not":{"href_matches":["\/blog\/wp-*.php","\/blog\/wp-admin\/*","\/blog\/wp-content\/uploads\/*","\/blog\/wp-content\/*","\/blog\/wp-content\/plugins\/*","\/blog\/wp-content\/themes\/ruangguru\/*","\/blog\/*\\?(.+)"]}},{"not":{"selector_matches":"a[rel~=\"nofollow\"]"}},{"not":{"selector_matches":".no-prefetch, .no-prefetch a"}}]},"eagerness":"conservative"}]}
</script>
<script>
async function getCtaDetails(ctaIds) {
const endpoint =
" https://gw.ruangguru.com/api/v3/rdb/p_ddgy8hjx5dxsqx/CTA/views/CTA?offset=0&limit=10&where=(ctaId,in," + ctaIds.toString() + ")";
try {
const response = await fetch(endpoint, {
headers: {
"xc-token": "-hG2nBDJzSj0agSgNtcJx97M4F02y54nUMoY6plJ",
},
});
const data = await response.json();
const ctaList = data?.list || [];
const ctaMap = new Map();
for (const ctaData of ctaList) {
ctaMap.set(ctaData.ctaId, ctaData);
}
return ctaMap;
} catch (error) {
console.error("Error fetching CTA details:", error);
return new Map();
}
}
async function replaceCTA() {
const regex = /{{cta\((‘(.*?)’|“(.*?)”)\)}}/g;
const bodyHTML = document.body.innerHTML;
const matches = Array.from(bodyHTML.matchAll(regex));
const ctaIds = matches.map((match) => {
let ctaId = match[2] ?? match[3];
return ctaId;
});
const ctaMap = await getCtaDetails(ctaIds);
const replacedHTML = bodyHTML.replace(regex, (match, _inner, ctaId1, ctaId2) => {
const ctaId = ctaId1 ?? ctaId2;
const ctaData = ctaMap.get(ctaId);
if (ctaData) {
return `<a href="https://cta.ruangguru.com/${ctaData.ctaId}" target="_${ctaData.targetType}" style="position:relative;display:inline-block;">
<img src="${ctaData.imageUrl}" loading="lazy" alt="${ctaData.altText}" />
</a>`;
} else {
return match;
}
});
document.body.innerHTML = replacedHTML;
}
</script>
<meta name="author" content="Ruangguru Tech Team">
<!-- Google Tag Manager (noscript) -->
<noscript><iframe src="https://www.googletagmanager.com/ns.html?id=GTM-PVNLZFT" height="0" width="0" style="display:none;visibility:hidden"></iframe></noscript>
<!-- Tracker -->
<script type="text/javascript" src="https://cdn-web-2.ruangguru.com/landing-page-web/public/staticpages/global-assets/js/cta.js"></script>
<script src="https://unpkg.com/@dotlottie/player-component@latest/dist/dotlottie-player.mjs" type="module"></script>
</body>
</html>