A peg on a turntable moves with a constant tangential speed of 0.80m/s in a circ

Question

A peg on a turntable moves with a constant tangential speed of 0.80m/s in a circle of radius 0.27m . The peg casts a shadow on a wall. Find the following quantities related to the motion of the shadow.

Part A

Find the period.

Express your answer using two significant figures.

Part B

Find the amplitude.

Express your answer using two significant figures.

Part C

Find the maximum speed.

Express your answer using two significant figures.

Part D

Find the maximum magnitude of the acceleration.

Express your answer using two significant figures.

Explanation / Answer

Tangential speed, V = 0.80 m/s

    Radius, R = 0.27 m

(a)

    Angular velocity, ? = V / R

                                 = 0.8 / 0.27

                                 = 2.96 rad/s

    Time-period, T = 2 ? / ?

                           = 2 ? / 2.96

                           = 2.12 s

(b)

    Amplitude, A = Radius, R

                        = 0.27 m

(c)

    Max Speed, Vmax = ? A

                                 = 2.96 * 0.27

                                 = 0.7992 m/s    ( As velocity is constant, Vmax = V)

(d)

    a max = ? 2 A

             = 2.96 2 * 0.27

             = 2.366 m/s^2

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