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# Physics - Mechanics - Rotational Motion

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A child is riding a merry-go-round, which has an instantaneous angular speed of 1.25 rad/s and an angular acceleration of 0.745 rad/s^2. The child is standing 4.65m from the center of the merry-go-round. What angle does the acceleration of the child make with the tangential direction?

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The expert examines tangential direction for rotational motion. A complete, neat and step-by-step solution is provided.

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r = 4.65 m, w = 1.25 rad/s, alpha = 0.745 rad/s^2.

There are two components of the acceleration, the radial and the tangential.

Radial acceleration is given by alpha(R) = ...

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