Question

the formula gives the time it takes in seconds, t, for a pendulum to make one full swing back and forth, where l is the length of the pendulum, in feet. to the nearest foot, what is the length of a pendulum that makes one full swing in 1.9 s? use 3.14 for . ft

Answer 1

3 ft

Step-by-step explanation:

You want the length of a pendulum that has a period of 1.9 seconds.

Pendulum period

The period of a pendulum is given by the formula ...

T = 2π√(L/g)

Length

Solving for the length, we find ...

L = g(T/(2π))²

Using the given period, we find the length to be ...

L = (32 ft/s²)(1.9 s/(2·3.14))² ≈ 2.93 ft ≈ 3 ft

To the nearest foot, the length of the pendulum is 3 ft.