Question

A simple pendulum in a science museum entry hall is 3.58 m long, has a 1.23 kg bob at its lower end, and swings with an amplitude of 10.9 ∘. How much time does the pendulum take to swing from its extreme right side to its extreme left side?

Answer 1

Answer:

1.897825 seconds

Explanation:

L = Length of pendulum = 3.58 m

g = Acceleration due to gravity = 9.81 m/s²

The amplitude of a pendulum is given by

$T=2\pi \sqrt{\dfrac{L}{g}}\\\Rightarrow T=2\pi\sqrt{\dfrac{3.58}{9.81}}\\\Rightarrow T=3.79565\ s$

It can be seen that the time period does not depend on amplitude

Time period includes the time to go from extreme left to right and back to extreme left.

So, time taken to go from extreme right to left is $\dfrac{T}{2}=\dfrac{3.79565}{2}=1.897825\ s$