Question

consider a simple pendulum consisting of a weight m swinging on a massless string of length l. what is the frequency of the pendulum

Answer 1

The frequency of a simple pendulum is calculated using the formula f = 1/T, where T is the period given by T = 2π√(l/g) with l being the string length and g the acceleration due to gravity.

Step-by-step explanation:

To find the frequency of a simple pendulum, which consists of a mass m swinging on a massless string of length l, we need to use the formula for the period T of the pendulum. The period (T) of a simple pendulum is given by T = 2π√(l/g), where g is the acceleration due to gravity. The frequency (f) is the reciprocal of the period, so f = 1/T.

Therefore, to calculate the frequency of the simple pendulum, we use the following steps:

1. Calculate the period: T = 2π√(l/g).
2. Compute the frequency: f = 1/T.

For example, if the length of the pendulum l is 1 meter and the acceleration due to gravity g is approximately 9.81 m/s², the period T would be about 2.006 seconds, and the frequency f would be approximately 0.498 Hz.