Abike racing team is picking an accelerometer to measure the vertical acceleration of a front suspension. they know that the full-scale suspension travel is ±25 mm and the maximum frequency of motion is 20 hz. assuming that this acceleration can be modeled as a sinusoid, what is the maximum acceleration amplitude that they can expect to measure? give your answer in g’s.

The maximum acceleration amplitude is 40.28 g.s.

Explanation:

Given that,

Full scale suspension = 25 mm

Frequency = 20 Hz

We need to calculate the maximum frequency

Using formula of maximum frequency

Put the value into the formula

We need to calculate the maximum acceleration amplitude

Using restoring force

Using equation of S.H.M

On differentiating

On differentiating again

Maximum acceleration =ω²A

Which is at the maximum amplitude

Hence, The maximum acceleration amplitude is 40.28 g.s.