Question

The time for one complete swing of a pendulum can be modeled by the formula P=2π√L/32 where L represents the length of the pendulum in feet and P represents the period of the pendulum in seconds. If the pendulum's period is 2.4 seconds, which of the following best represents the length of the pendulum?

A. 1.7 ft

B. 5.4 ft

C. 4.7 ft

D. 4.4 ft

Answer 1

two ways to get this

1 by unit analysis

l / g → m / (m/s^2) → s^2

so you'd need

root of l/g to get s (time units)

2

from the formula

T = 2 pi sqrt(L/g)

Explanation:

two ways to get this

1 by unit analysis

l / g → m / (m/s^2) → s^2

so you'd need

root of l/g to get s (time units)

2

from the formula

T = 2 pi sqrt(L/g)