SOLUTION: The period T (time in seconds for one complete cycle) of a simple pendulum is related to the length L (in feet) of the pendulum by the formula 8T^2 = pie^2L. If a child is on a swi
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Question 312101: The period T (time in seconds for one complete cycle) of a simple pendulum is related to the length L (in feet) of the pendulum by the formula 8T^2 = pie^2L. If a child is on a swing with a 10-foot chain, then how long does it take to complete one cycle of the swing?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
The period T (time in seconds for one complete cycle) of a simple pendulum is related to the length L (in feet) of the pendulum by the formula 8T^2 = pie^2L. If a child is on a swing with a 10-foot chain, then how long does it take to complete one cycle of the swing?
.
Simply plug in the given length and solve for T:
8T^2 = pie^2L
8T^2 = 3.14^2(10)
T^2 = 3.14^2(10/8)
T^2 = 12.3245
T = 3.51 secs
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