Jack’s bicycle tires have a diameter of 24 inches. if he rides at 15 miles per hour, what is the angular velocity of the wheels in revolutions per minute (rpm)?

659.99 rpm

14.01 rpm

210.08 rpm

8.75 rpm

Option 3 ⇒ 210.08 rpm

Step-by-step 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

step-by-step explanation:

if you want to separate 54 into 6 individual tiers then you need to divide if you want to separate 54 into 6 individual tiers then you need to divide 6 and 54.

if you divide 9 by 6 you will get 54.

- hope i .

the answer to your question is c.)   volcanoes built the mountains and earthquakes tore them down.

step-by-step explanation: