Precalculus

posted by .

Please help...a computerized spin balance machine rotates a 25 inch diameter tire at 480 revolutions per minute. (a) find the road speed in miles per hour at which the tire is being balanced (b) at what rate should the spin balance machine be set so that the tire is being tested for 70 miles per hour?

  • Precalculus -

    one rotation covers 25π inches
    so in 1 minute it covers 12000π inches
    and in 1 hour it covers 720000π inches

    1 mile = 5280 ft = 63360 inches

    so it goes 720000π/63360 miles/hour = 35.7 mph

    since the road speed varies directly with the rmp

    35.7/480 = 70/x
    35.7x = 33600
    x = 33600/35.7 = appr 941 rpm

  • Precalculus -

    Ok

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. algebra

    There is a slow leak in your bike tire. The average rate of change of air in your tire is -2 pounds per square inch per day. The amount of air in your tire is now 70 pounds per sqsquare inch. Find the amount of air that will be in …
  2. Math

    A bicycle wheel is 30 inches in diameter. a. to the nearest revolution, how many times will the wheel turn if the bicycle is ridden for 3 miles. b. suppose the wheel turns at a constant rate of 2.75 revolutions per second. What is …
  3. pre cal

    If an 22-inch tire rotates 40 times per 2 minute, determine th elinear and angular speed of the tire.
  4. calculus

    2. A spin balancer rotates the wheel of the car at 480 revolutions per min. if the diameter of the wheel is 26 in what road speed is being tested in the miles per hour?
  5. TRIG

    A circular power saw has an 8-1/2 inch diameter blade that rotates at 4400 revolutions per minute. a)Find the angular speed of the saw blade in radians per minute. b)Find the linear speed in feet per minute of one of the 24 cutting …
  6. Physics

    A tire 2.0 ft in diameter is placed on a balancing machine where it is spun so that its tread is moving at a constant speed of 51 mph. A small stone is stuck in the tread of the tire. What is the acceleration of the stone as the tire …
  7. trig

    A computerized spin balance machine rotates a 35-inch-diameter tire at 400 revolutions per minute. (a) Find the road speed (in miles per hour) at which the tire is being balanced. (Round your answer to two decimal places.) (b) At what …
  8. geometry

    A bicycle tire has a diameter of 60cm and rotates 33.3 revolutions per minute.How far does a point on the edge of the tire travel in a minute?
  9. universitu

    A tire 0.50meter in radius rotates at aconstant rate of 200 revolution per minute .find the speed & accelaration of asmall stone lodged in the tread of the tire(on its outer edge)
  10. college algebra

    In a certain gear, a bicycle tire with a diameter of 27 inches makes 3 complete revolution of the pedal.If a cyclist is pedaling at a rate of 100 revolutions per minute, find the speed of the bicycle in miles per hour?

More Similar Questions