Question

A diver on a diving board is in simple harmonic motion. The

diver’s mass is 70.0 kg and the spring constant of the diving board
is 3,062 N/m. What is the frequency of the diver’s bounce?

Answer 1

The frequency of the diver’s bounce can be calculated using the formula frequency = 1 / period. By substituting the given values of the diver’s mass and the spring constant, we can calculate the period of the motion. Finally, we can use the formula frequency = 1 / period to determine the frequency of the diver's bounce.

Step-by-step explanation:

The frequency of the diver's bounce can be determined using the formula:

frequency = 1 / period

Given that the mass of the diver is 70.0 kg and the spring constant of the diving board is 3,062 N/m, we can calculate the period of the motion:

period = 2π√(m/k)

where m is the mass and k is the spring constant. Substituting the values, we get:

period = 2π√(70.0/3,062)

Once we have the period, we can use the formula to calculate the frequency:

frequency = 1 / period

Substituting the calculated value of the period, we find:

frequency = 1 / (2π√(70.0/3,062))

Calculating this value will give us the frequency of the diver's bounce.