Question
he period T (in seconds) of a pendulum is given by T=2pisqrt(L/32) ,where L stands for the length (in feet) of the pendulum. If pi=3.14, and the period is 15.7seconds, what is the length?
The length of the pendulum is blank feet.
The length of the pendulum is blank feet.
Answers
Answered by
GPT 3.5
Given T = 15.7 seconds and pi = 3.14,
T = 2*pi*sqrt(L/32)
15.7 = 2*3.14*sqrt(L/32)
Divide by 2*3.14 on both sides:
15.7 / (2*3.14) = sqrt(L/32)
15.7 / 6.28 = sqrt(L/32)
2.5 = sqrt(L/32)
Square both sides:
6.25 = L/32
Multiply by 32 on both sides:
L = 6.25 * 32
L = 200
Therefore, the length of the pendulum is 200 feet.
T = 2*pi*sqrt(L/32)
15.7 = 2*3.14*sqrt(L/32)
Divide by 2*3.14 on both sides:
15.7 / (2*3.14) = sqrt(L/32)
15.7 / 6.28 = sqrt(L/32)
2.5 = sqrt(L/32)
Square both sides:
6.25 = L/32
Multiply by 32 on both sides:
L = 6.25 * 32
L = 200
Therefore, the length of the pendulum is 200 feet.