Question

The period of a pendulum is the length

of time required to complete one swing
back and forth. If it takes 1.4 sec for a
0.49m pendulum to complete one period,
'What is the period of a 0.36 mpendulum?

Answer 1

T₂ = 1.2 s

Explanation:

The time period of a simple pendulum is given by :

`T=2\pi \sqrt{(L)/(g)}`

Where

L is length of the pendulum

g is acceleration due to gravity

We have,

T₁ = 1.4 s, L₁ = 0.49 m, L₂ = 0.36 m, T₂= ?

`(T_1)/(T_2)=\sqrt{(L_1)/(L_2)} \\\\T_2=\frac{T_1}{\sqrt{(L_1)/(L_2)}}\\\\T_2=\frac{1.4}{\sqrt{(0.49)/(0.36)}}\\\\T_2=1.2\ s`

So, the new time period is equal to 1.2 seconds.