A child is sitting on the outer edge of a merry-go-round that is 18 m in diameter.If the merry-go-round makes 8.3 rev/min,what is the velocity of the child in m/s?
A)7.8 m/s
B)15.6 m/s
C)1.2 m/s
D)5.5 m/s

Question

Quizplus · Accepted Answer

The velocity of the child can be calculated using the formula for the tangential velocity: v = ωr, where ω is the angular velocity in radians per second and r is the radius. First, convert revolutions per minute to radians per second: ω = 8.3 rev/min × (2π rad/rev) × (1 min/60 s) = 0.868 rad/s. The radius r is half the diameter, so r = 18 m / 2 = 9 m. Therefore, v = 0.868 rad/s × 9 m = 7.8 m/s.

A Child Is Sitting on the Outer Edge of a Merry-Go-Round