Answer:
Her linear velocity (speed) is approximately 2.2 m/sec
Her angular velocity is approximately 1.26 rad/second
Step-by-step 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.