math

One wheel has a diameter of 30 inches and a second wheel has a diameter of 20 inches. The first wheel traveled a certain distance in 240 revolutions. In how many revolutions did the second wheel travel the same distance?

not just an answer please

A.120
B.160
C.360
D.420
E.480

  1. 👍
  2. 👎
  3. 👁
  1. short way:
    the number of revolutions varies inversely with the diameter of the wheel
    i.e. the larger the wheel the smaller the number of revs.

    R1/R2 = C2/C1
    240/R2 = 20/30
    20R2 = 7200
    R2 = 360

    or

    distance covered by first wheel = 2π(15)(240) = 7200π inches

    circumference of 2nd wheel = 2π(10) = 20π inches
    for the same distance of 7200π inches
    number of revolutions = 7200π/(20π) = 360 revs

    1. 👍
    2. 👎
  2. c.360

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    A Ferris wheel has a maximum height of 245 feet and a wheel diameter of 230 feet. Find an equation for the wheel if the center of the wheel is on the​ y-axis and y represents the height above the ground. equation is ?

  2. Math

    a ferris wheel with a 40-ft diameter rotates once every 30 seconds. the bottom of the wheel is located 1.5 feet above the ground. you get on at the very bottom of the ferris wheel at time t = 0 and then the ferris wheel begins to

  3. math

    If the wheel of a bicycle has a diameter of 60cm, calculate how far a cyclist will have travelled after the wheel has rotated 100 times.

  4. Precalculus

    The sprocket assembly on a bicycle consists of a chain and two sprockets on the rear wheel. If the sprocket on the pedal is 9 inches in the diameter , the sprocket on the rear wheel is 6 inches in diameter , and the rear wheel is

  1. Geometry

    The wheel of an adult's bicycle has diameter 26 in. The wheel of a child's bicycle has diameter 18 in. To the nearest inch, how much farther does the larger bicycle wheel travel in one revolution than the smaller bicycle wheel?

  2. Pre Algebra

    A spoke on the bike wheel is about 12 inches long. The diameter of the wheel is about how many inches?

  3. Physics

    Simple Machines A simple wheel and axle has a wheel diameter of 2.3m and an axle diameter of 92mm. If an effort of 26N is required to raise a mass of 16 kg what is the efficiency of the machine? A- 2.46% B- 95.3% C- 24.1% D- 20.1%

  4. math

    A bicycle wheel has a diameter of 63cm.calculate how many times the wheel turns round in travelling 19.8km. Use the value 3 1/7 for pi

  1. 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 rev per second. What is the

  2. maths

    find the number of revolutions taken by the wheel of a truck to cover a distance of 78.5 km if the diameter of the wheel is 1m

  3. math (trigonometry)

    A ferris wheel has a diameter of 100m and the bottom of the wheel is 4m above the ground. It rotates two times every 10 minutes. Using this information, complete each question. c) Determine the angular velocity of the Ferris wheel

  4. differential calculus

    a ferris wheel 15m in diameter makes 1 revolution every 2 minutes. If the center of the wheel is 9m above the ground, how fast is the passenger in the wheel moving vertically when he is 12.5m above the ground?

You can view more similar questions or ask a new question.