Question

A pendulum has a period of 3.17 seconds. What is the length of the pendulum?

1.91 m
2.30 m
2.49 m
2.89 m

Answer 1

We can use the formula for the period of a pendulum:

T = 2π√(L/g)

where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity (9.8 m/s^2).

Rearranging the formula to solve for L, we get:

L = (gT^2)/(4π^2)

Plugging in the given values, we get:

L = (9.8 m/s^2) x (3.17 s)^2 / (4π^2) = 2.00 m

Therefore, the length of the pendulum is approximately 2.00 m.