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

Answer:

T₂ = 1.2 s

Step-by-step explanation:

The time period of a simple pendulum is given by :

$T=2\pi \sqrt{\dfrac{L}{g}}$

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= ?

$\dfrac{T_1}{T_2}=\sqrt{\dfrac{L_1}{L_2}} \\\\T_2=\dfrac{T_1}{\sqrt{\dfrac{L_1}{L_2}}}\\\\T_2=\dfrac{1.4}{\sqrt{\dfrac{0.49}{0.36}}}\\\\T_2=1.2\ s$

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