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Chapter 8: 8-3MCQ (page 198)

A car speedometer that is supposed to read the linear speed of the car uses a device that actually measures the angular speed of the tires. If larger-diameter tires are mounted on the car instead, how will that affect the speedometer reading? The speedometer

(a) will still read the speed accurately.

(b) will read low.

(c) will read high

Short Answer

Expert verified

The correct answer is option (b) will read low.

Step by step solution

01

Determine the speed measured by the speedometer

In this problem, the speedometer device is used to measure the speed of the car. One of the important points is that the variation in the radius of the tire does not affect the speed measured by the speedometer.

02

Angular speed of the car

The relation of angular speed is given by:

\(v = r\omega \)

Here, r is the radius of the wheel and \(\omega \) is the angular speed.

When the tires of the car have identical angular speed, increasing the diameter of the tires will cause them to move faster than with the smaller diameter of tires.

Thus, option (b) is the correct answer.

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