A merry-go-round with rotational inertia 39kg middot m2 rotates clockwise at 1.0

Question

A merry-go-round with rotational inertia 39kg middot m2 rotates clockwise at 1.0rad/s. Find the direction of the merry-go-round's angular momentum. Find the magnitude of the merry-go-round's angular momentum. Express your answer to two significant figures and include the appropriate units. Find the direction of the torque needed to stop the merry-go-round in 13s. Find the magnitude of the torque needed to stop the merry-go-round in 13s. Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

a) using right hand rule... DOWNWARD

b) angular momentum = inertia * speed = 39 * 1 = 39 kg-m^2/s

c) torque must be opposite ang momentum, so UPWARD

d) torque = ang momentum / time = 39/13 = 3.0 N-m

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