Question

A playground tire swing has a period of 2.0 s on Earth. What is the length of its chain?

Answer 1

Answer:

Length of the chain, l = 0.99 m

Explanation:

Given that,

A playground tire swing has a period of 2.0 s on Earth i.e.

T = 2 s

We need to find the length of this chain. The relationship between the length and the time period is given by :

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

Where

l = length of chain

g = acceleration due to gravity

$l=\dfrac{T^2g}{4\pi^2}$

$l=\dfrac{(2)^2\times 9.8}{4\pi^2}$

l = 0.99 meters

So, the length of the chain is 0.99 meters. Hence, this is the required solution.