Answer:
Option 3 ⇒ 210.08 rpm
Explanation:
The relation between the angular velocity ω and the linear velocity v is v=ωr
Where r is the radius of the tire.
Given that a diameter of 24 inches. If he rides at 15 miles per hour.
∴ r = diameter/2 = 24/2 = 12 in.
And v = 15 miles/hour
Converting the speed to inches per minutes where mile = 63,360 inches and hour = 60 minuted
∴ v = 15 * 63,360/60 = 15,840 inches/minute
∴ ω = v/r = 15,840/12 = 1,320 rad/minute
Converting ω from rad per minutes to revolutions per minute
Where 1 revolution = 2π
∴ ω = 1,320 / (2π) = 210.08 rpm