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Q6.1-1PE

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College Physics (Urone)
Found in: Page 221
College Physics (Urone)

College Physics (Urone)

Book edition 1st Edition
Author(s) Paul Peter Urone
Pages 1272 pages
ISBN 9781938168000

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Short Answer

Semi-trailer trucks have an odometer on one hub of a trailer wheel. The hub is weighted so that it does not rotate, but it contains gears to count the number of wheel revolutions—it then calculates the distance travelled. If the wheel has a 1.15 m diameter and goes through 200,000 rotations, how many kilometres should the odometer read?

The odometer should read 722.6 km.

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Step by Step Solution

TABLE OF CONTENTS :
TABLE OF CONTENTS

Step 1: Given data

  • The diameter of the wheel is d = 1.15 m.
  • The number of rotations is 200,000

Step 2: Definition of linear distance

Linear distance is the distance covered straight from a point to the concerned point.

Step 3: Calculation of the linear distance

We know that linear distance = angular distance times radius.

Now,

θ=200,000×2π=1.2×106 radianr=d2=1.152=0.575  m

Thus,

s=1.2×106×0.575=722566.3  m=722.6 km

Therefore, the odometer should read 722.6 km.

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