Achild 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 4.65 m from the center of the merrygo-round.
what is the magnitude of the acceleration of the child?

8.05 m/s^2

Explanation:

Instantaneous angular speed(w) = 1.25 rad/s

Angular acceleration (α) = 0.745 rad/s^2

Distance from the centre to where the child is (r) = 4.65m

Tangential acceleration = αr

= 0.745 * 4.65

= 3.464 m/s^2

Centripetal acceleration = w^2r

= (1.25)^2(4.65)

= 7.266 m/s^2

Total acceleration = √3.464^2 + 7.266^2

= √64.794052

= 8.05m/s^2

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