A bicycle with 24-inch diameter wheels is traveling at 12 mi/h. What is the exact angular speed of the wheels in rad/min?
Number rad/min:

How many revolutions per minute do the wheels make?
The answer must be rounded to three decimal places by the way.

9514 1404 393

Step-by-step explanation:

The linear speed 12 mi/h translates to inches per minute as follows:

  (12 mi/h) × (5820 ft/mi) × (12 in/ft) ÷ (60 min/h) = 12,672 in/min

The relationship between arc length and angle is ...

  s = rθ

For a constant radius, the relationship between linear speed and angular speed is ...

  s' = rθ'

  θ' = s'/r = (12,672 in/min)/(12 in) = 1056 rad/min

There are 2π radians in one revolution, so this is ...

  (1056 rad/min) ÷ (2π rad/rev) = 168.068 rev/min

28

step-by-step explanation:

because that's the answer