The length of time, t (in seconds), it takes the pendulum of a clock to swing through one complete cycle is a function of the length of the pendulum in feet. Defined by:

t = f(L) = 2pi sqrt L/32

A.Rewrite the formula using fractional exponents.

B.Determine the length of the cycle in time if the pendulum is 4 feet long.

1 answer

good grief, g = 32 ft/s^2, old text :)

T = 2 pi (L/32)^(1/2)

T = 2 pi (4/32)^.5

= 2.22 seconds