The motion of an oscillating crank is defined by the relation Θ=6sin(πt/4)-3sin (πt/2) where ‘Θ’ is expressed in radians and ‘t’ in seconds. Determine the angular displacement, the angular velocity, and the angular acceleration of the crank when (a) t=0s, (b) t=2s. (c) Draw the graph of the angular displacement, angular velocity and angular acceleration from t=0 to t=2. (d) solve what time will the crank starts to decelerate?

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A: Solution   Convert the angular velocity of wheel from rev/min to rad/s.ω=2πN60φ=2π×12060  =4π rad/s

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