(Solved): A horizontal merry-go-round is initially at rest. At \( t=0 \), it is given a ...

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A horizontal merry-go-round is initially at rest. At \( t=0 \), it is given a constant angular acceleration \( \alpha=0.0750 \mathrm{rad} / \mathrm{s}^{2} \), which ncreases its angular velocity. A \( 25.4 \mathrm{~kg} \) child sits at \( 2.30 \mathrm{~m} \) from the axis of rotation. (a) At \( t=9.30 \mathrm{~s} \), determine the centripetal force acting on the child. \( \mathrm{N} \) (b) At \( t=9.30 \mathrm{~s} \), determine the direction of the net force acting on the child. Specify the angle from the radially inward direction. 0 (c) Through how many radians has the merry-go-round rotated within that \( 9.30 \mathrm{~s} \) time? rad