You set a small eraser at a distance of 0.18 m from the center of a turntable yo

Question

You set a small eraser at a distance of 0.18 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 0.73 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 in s

(b) amplitude
in m

(c) maximum speed
in m/s

(d) magnitude of the maximum acceleration
in m/s2

Explanation / Answer

a)

Tangential speed

V=r*W

=>W=V/r =0.61/0.18 =3.39 rad/s

Period

T=2pi/W =2pi/3.39

T=1.85 s

b)

A=0.18 m

c)

Maximum speed

Vmax=AW =0.18*3.39

Vmax=0.61 m/s

d)

Maximum acceleration

amax=W2A =(3.39)2*0.18

amax=2.07 m/s2

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