A peg on a turntable moves with a constant tangential speed of0.73 m/s in a circ

Question

A peg on a turntable moves with a constant tangential speed of0.73 m/s in a circle of radius 0.18m. The peg casts a shadowon a wall. Find the following quantities related to themotion of the shadow: a) the period b) the amplitude c) the maximum speed d) the maximum magnitude of the acceleration A peg on a turntable moves with a constant tangential speed of0.73 m/s in a circle of radius 0.18m. The peg casts a shadowon a wall. Find the following quantities related to themotion of the shadow: a) the period b) the amplitude c) the maximum speed d) the maximum magnitude of the acceleration

Explanation / Answer

    Tangential speed, V = 0.73 m/s     Radius, R = 0.18 m (a)     Angular velocity, = V / R                                  = 0.73 / 0.18                                  = 4.1 rad/s     Time-period, T = 2 /                            = 2 / 4.1                            = 1.53 s (b)     Amplitude, A = Radius, R                         = 0.18 m (c)     Max Speed, Vmax = A                                  = 4.1 * 0.18                                  = 0.73 m/s    ( As velocity is constant, Vmax = V) (d)     a max = 2 A              = 4.1 2 * 0.18              = 3.03 m/s^2

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