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 :
[tex]T=2\pi \sqrt{\dfrac{l}{g}}[/tex]
Where
l = length of chain
g = acceleration due to gravity
[tex]l=\dfrac{T^2g}{4\pi^2}[/tex]
[tex]l=\dfrac{(2)^2\times 9.8}{4\pi^2}[/tex]
l = 0.99 meters
So, the length of the chain is 0.99 meters. Hence, this is the required solution.