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Chapter 6: Q. 100 (page 366)

The radius of each wheel of a car is 15 inches. If the wheels are turning at the rate of 3 revolutions per second, how fast is the car moving? Express your answer in inches per second and in miles per hour.

Short Answer

Expert verified

The car is moving at a speed of 90蟺inches per second or5.11蟺miles per hour

Step by step solution

01

Step 1. Given information

The radius of the wheel of the car is15inches.3revolutions of the wheel are done in a second.

02

Step 2. Required Formula

  • 1mile = 63360inches
  • The perimeter of the circle with radius ris2蟺谤 units.
  • 1hour =3600seconds.
03

Step 3. Calculation

The radius is r=15inches.

Therefore the perimeter of the circle is 2脳蟺脳15=30蟺inches.

Now, the wheel does 3revolutions per second.

Therefore, it covers 30蟺脳3=90蟺inches per second.

Hence, 90蟺脳3600=324000蟺inches per hour.

That is,324000蟺63360鈮�5.11蟺miles per hour.

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