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Sagot :
Answer:
l = 1.8 feet
Step-by-step explanation:
Given that,
The time period of the pendulum, T = 2.7 seconds
We need to find the length of the swing. The formula for the time period of a simple pendulum is given by :
[tex]T=2\pi \sqrt{\dfrac{l}{g}}[/tex]
Where
l is the length of the swing.
[tex]T^2=\dfrac{4\pi^2l}{g}\\\\l=\dfrac{T^2g}{4\pi^2}\\\\l=\dfrac{(2.7)^2\times 9.8}{4\times 3.14^2}\\\\l=1.8\ \text{feet}[/tex]
So, the length of the swing is 1.8 feet long.
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