how to get the answer

Question

A point on the rim of a wheel with a diameter of 1 250 mm has a velocity of 396 km/h. Calculate the following: 4.1. The revolutions per minute (3) 4.2. The angular velocity at which the wheel is turning in rad/s

Answer 1

Convert velocity of the rim from km/h to m/s

 v = 396 *(5/18) m/s

Find the angular velocity:

ω = v/r

   = v/d/2

  =2v/d

  = (2)((396 * (5/18))/(0.25)

  =880 rad/s

Find the revolutions per min

RPM = ω/2π

        =880/2π

      = 140.06 RPM