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

User Udo Held
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1 Answer

4 votes

Answer:

Length of the chain, l = 0.99 m

Step-by-step 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{(l)/(g)}

Where

l = length of chain

g = acceleration due to gravity


l=(T^2g)/(4\pi^2)


l=((2)^2* 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.

User Syclonefx
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