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## Homework Statement

(a) acceleration amplitude of 100 ms−2 with a vibration amplitude of 5.0 cm.

(i) What frequency of vibration is required?

(ii) What is the maximum speed ?

(iii)What is the time delay between the points of maximum acceleration and

of maximum speed?

## Homework Equations

speed= f * wavelength

f= 1/ time period

## The Attempt at a Solution

(i)

a= -2*pi*f*x

100= -2*pi*f*0.05

400=-pi *f

400/ -3.141= f

f= - 127.32 Hz

(can frequency be minus)??

(ii)

speed = integral of accelration

a= -2*pi*f*x

speed= f * wavelength

(iii)

time delay

f= 1/ time period

t= 1/ - 127.32 Hz

t= 0.00785423

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