Pre-calc

posted by .

A car is moving at the rate of 60 miles per hour, and the diameter of its wheels is 2.5 feet (1 mile=5280 feet)
a) Find the angular speed of the wheels in radians per minute
b) Find the number of revolutions per minute the wheels are rotating.

  • Pre-calc -

    I shouldve known better than to actually think i was gunna get help...

  • Pre-calc -

    V = linear speed

    r = radius

    omega = angular velocity

    RPM = Revolutions per minute


    r = diameter / 2

    60 mph = 60 * 5280 ft


    V = r * omega

    60 * 5280 = ( 2.5 / 2 ) * omega

    316,800 = 1.25 omega Divide both sides ba 1,25

    316,800 / 1.25 = omega

    253,440 = omega

    omega = 253,440 radians / h Divide both sides by 60

    omega = 253,440/ 60

    omega = 4,224 radians / min


    1 rotation = 2 pi radians


    RPM = 4,224 / 2 pi

    RPM = 2112/ pi

    RPM = 2112 / 3.1416

    RPM = 672.2689 rotation / min

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Honors Pre-Calculus

    It is known that when a car with wheels of radius 14 in. is driven at 35 mph, the wheels turn at an approximate rate of 420 revoulutions for minute. Show how to obtain this rate of turn. If you ride a bicycle a distance of 5 miles …
  2. L PreCal

    A car is moving at a rate of 65 miles per housr and the diameter of it's wheels is 2.5ft. Find the number of revolutions per minute the wheels are rotating. I have no idea where to begin on this question. How do you find rev per min?
  3. Trignometry

    A car is moving at a rate of 55 mph and the diameter of its wheels is 2 feet. A) Find the number of revolutions per minute the wheels are rotating. B) Find the angular speed of the wheels in radians per minutes.
  4. trigonometry

    A truck with 48-in.-diameter wheels is traveling at 55 mi/h. Find the angular speed of the wheels in rad/min, *hint convert miles to inches & hours to minutes: __rad/min How many revolutions per minute do the wheels make?
  5. Math

    A car is moving at a rate of 60 miles per hour. the diameter of the wheels are 2.6 ft. how do you find the revolutions per minute that the wheels are rotating?
  6. Math

    A truck with 40-in.-diameter wheels is traveling at 50 mi/h. a) Find the angular speed of the wheels in rad/min b) How many revolutions per minute do the wheels make?
  7. Trigonometry

    a bicycle with 24inch diameter wheels is traveling at 15mi/hr. a) Find the angular speed of the wheels in rad/min. b)How many revolutions per minute do the wheels make?
  8. pre calculus

    The diameter of the wheels on your car (including the tires) is 25 inches. You are going to drive 218 miles today. Each of your wheels is going to turn by an angle of how many degrees?
  9. Pre-calc

    A truck is traveling at 70mph and has wheels with a diameter of 26in. Find the angular velocity in radians per minute. Also find in revolutions per minute. I've attempted this question and am completely stumped. I can't figure out …
  10. algebra

    A car is moving at the rate of 80km/h. the diameter of its wheel is 60cm. a, find the number of revolutions per minute that the wheels are rotating. b, find the angular speed of the wheels in radians per second.

More Similar Questions