# Periods of Vibration

• Mar 14th 2010, 02:38 PM
Mike9182
Periods of Vibration
The period of vibration, P, for a pendulum varies directly as the square root of the length L. If P is 2 seconds when L is 64 inches, what is the period when the length is 16 inches?
• Mar 14th 2010, 03:16 PM
skeeter
Quote:

Originally Posted by Mike9182
The period of vibration, P, for a pendulum varies directly as the square root of the length L. If P is 2 seconds when L is 64 inches, what is the period when the length is 16 inches?

$P = k\sqrt{L}$ , where $k$ is the constant of proportionality.

$2 = k\sqrt{64}$

solve for $k$ , then determine $P$ for $L = 16$