You set a small eraser at a distance of 0.27 m from the center of a turntable you find in the attic and establish that when the turntable is turned on, the eraser travels in a circle with a constant tangential speed of 0.49 m/s. If your desk lamp projects a shadow of the apparatus on a wall which is the same size as the real apparatus, determine the following for the oscillatory motion of the eraser's shadow.

(a) period
s

(b) amplitude
m

(c) maximum speed
m/s

(d) magnitude of the maximum acceleration
m/s2

Answer with Explanation:

We are given that

Distance,r=0.27 m

Tangential speed=v=0.49 m/s

a.Angular speed ,

Using the formula

Time period,

b.Amplitude,A=Distance of small eraser from the center of a turnable =0.27 m

c.Maximum speed,

d.Maximum acceleration=

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