A mass on a spring vibrates in simple harmonic motion at an amplitude of 8.0 cm. If the mass of the object is 0.20 kg and the spring constant is 130 N/m, what is the frequency?

Frequency, f = 3.73Hz

Explanation:

The frequency of a simple harmonic 6is given by:

f = w/2pi

But w = Sqrt (k/m)

Where k is the spring constant

And m is the mass

Given:

Mass=0.20kg

Spring constant, k=130N/m

w = Sqrt (130/0.20)

w = Sqrt (650)

w = 25.50 m

Frequency, f = w/2pi

f = 25.50 / (2*3.142)

f = 3.73Hz