SOLUTION: The period of vibration P for the pendulum varies directly as a square root of the length L. If the period of vibration of 2 sec. when the length is 16 inches, what is the length

Algebra ->  College  -> Linear Algebra -> SOLUTION: The period of vibration P for the pendulum varies directly as a square root of the length L. If the period of vibration of 2 sec. when the length is 16 inches, what is the length       Log On


   



Question 43363This question is from textbook
: The period of vibration P for the pendulum varies directly as a square root of the length L. If the period of vibration of 2 sec. when the length is 16 inches, what is the length when L = 1.5625 inches? This question is from textbook

Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
The period of vibration P for the pendulum varies directly as a square root of the length L. If the period of vibration of 2 sec. when the length is 16 inches, what is the length when L = 1.5625 inches?
P=K(L)^0.5...WHERE K IS A CONSTANT
2=K(16)^0.5=4K
K=0.5
P=0.5(1.5625)^0.5=0.625