Bandul matematis, atau yang
sering disebut ayunan matematis, adalah salah satu metode penentuan gravitasi
yang sering digunakan dalam dunia pendidikan. Terdiri dari tali bermassa ringan
dan beban yang digantungkan pada tali tersebut. Beban yang digantung tersebut
kemudian disimpangkan dengan sudut tertentu lalu dilepas secara bebas sehingga
membentuk suatu ayunan yang teratur. Ada dua model perhitungan yang bisa
diterapkan pada percobaan ini. Apabila sudut simpangan yang digunakan kurang
dari 10o, percepatan gravitasi dapat ditentukan dengan model
perhitungan yang menerapkan prinsip ayunan sederhana. Sedangkan untuk
penggunaan sudut yang lebih besar dari 10o, model perhitungan yang digunakan adalah yang
menerapkan prinsip ayunan teredam dengan sudut besar.
Perbedaan utama antara kedua
model perhitungan ini adalah penggunaan deret taylor pada prisip ayunan teredam
dengan sudut besar yang tidak perlu digunakan untuk sudut kecil. Analisis yang
digunakan dalam percobaan ini juga bisa dibilang simple. Massa tali yang
digunakan untuk menggantung beban bisa diabaikan karena memiliki nilai yang
sangat kecil.
Bandul fisis, seperti yang
saya sebutkan di awal tadi, mempunyai kemiripan dengan bandul matematis. Kedua
metode ini sama-sama menggunakan ayunan yang dihasilkan oleh beban yang
digantung dan disimpangkan pada sudut tertentu. Perbedaannya terletak pada
media yang digunakan untuk menggantung benda. Jika pada bandul matematis
menggunakan tali bermassa ringan, pada bandul fisis menggunakan batang pejal
yang mempunyai massa relatif besar. Massa penggantung ini tidak lagi bisa
diabaikan karena mempunyai nilai yang signifikan untuk mempengaruhi ayunan.
Karena batang pejal ini juga, ada tambahan analisis yang harus dimasukkan dalam
perhitungan untuk menentukan percepatan gravitasi. Tambahan analisis tersebut
adalah torsi yang dialami oleh batang
pejal tersebut. Selain itu, bandul fisis hanya menerapkan satu model
perhitungan, yaitu ayunan teredam dengan sudut besar.
Model perhitungan yang
menerapkan ayunan sederhana tidak bisa digunakan karena bandul fisis tidak
mungkin bisa menghasilkan ayunan yang cukup apabila disimpangkan dengan sudut
kecil. Jadi, model perhitungan yang diterapkan harus menggunakan deret Taylor
29 komentar:
Tidak ada rumus atau penurunan rumus nya
Tidak ada rumus atau penurunan rumus nya
Rumus e eendi mas -_-
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