SOLUTION: Time to swing. 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 8T² = л²L. If a
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Question 150101This question is from textbook Elementary and Intermediate Algebra
: Time to swing. 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 8T² = л²L. 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?
This question is from textbook Elementary and Intermediate Algebra
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Given:
8T² = л²L
And,
L = 10
л = 3.14
.
Plug it in to your equation and solve for T:
8T² = л²L
8T² = л²(10)
T² = (л²(10))/8
T = sqrt[(л²(10))/8]
T = sqrt[л²(1.25)]
T = sqrt[(9.8596)(1.25)]
T = sqrt[12.3245]
T = 3.51 seconds
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