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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-> 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
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
