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.
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.
1 answer
1 answer