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Geometry Level 2

The wheels of a car are of diameter 80 cm each. How many complete revolutions does each wheel make in 10 minutes when the car is travelling at a speed of 66 km per hour ?


The answer is 4376.00.

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Karan Ahire by Karan Ahire , 21, India

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3 solutions

Ananya J
Mar 7, 2015

66 km in 60 min

So,11 km in 10 min

11000 m in 10 min

D=80 cm=0.8m

Circumference of each wheel=πD

Revolutions=11000/πD=4375

2 Helpful 0 Interesting 0 Brilliant 0 Confused

I used the same method :)

Hon Ming Rou - 6 years, 2 months ago
Ruslan Abdulgani
Feb 25, 2015

angular velocity ω = (66000/3600)/0.4 = 45.83333 rad/s. In 10 minutes = 45.83333 (600) =27500 rad. 1 rotation = 2π rad. The number of rotation = 27500/(2π) = 27500(7/44) = 4375

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Eden Dupont
May 18, 2016

66km/h / 3.6 = 18.33 m/s circumference of the wheel is 80π which is 251.32cm and 2.5132 in meters 18.33/2.5132 = 7.2934 revolutions per second 10 mins is 600 seconds 7.2934*600 = 4376.04

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