Suzie is riding a merry-go-round that is 3.5 m in diameter. If she travels 12 revolutions in a minute, what is her velocity?

Her linear velocity (speed) is approximately 2.2 m/sec

Her angular velocity is approximately 1.26 rad/second

Explanation:

The given parameters are;

The diameter of the merry-go-round, d = 3.5 m

The number of revolutions she travels per minute = 12 revolutions per minute

Therefore, we have;

The distance she travels in one revolution =  π·d = π × 3.5 m

The distance of the twelve revolutions  = 12 × π × 3.5 m

The time she takes for the 12 revolutions = 1 minute = 60 seconds

Therefore, her speed = 12 × π × 3.5 m/(60 seconds)  ≈ 2.2 m/sec

Her angular velocity = Angle covered/Time = 12 × 2 × π/60 ≈ 1.26 rad/second.

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Explanation: