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An automobile speedometer is configured to read speed

Chapter 28, Problem 101TAD

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QUESTION:

An automobile speed ometer is configured to read speed proportional the rotational speed of its wheels. If the over size wheels of this red car were installed with out making speedometer corrections, discuss whether the speedometer reading will be high, or low—or no change.

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QUESTION:

An automobile speed ometer is configured to read speed proportional the rotational speed of its wheels. If the over size wheels of this red car were installed with out making speedometer corrections, discuss whether the speedometer reading will be high, or low—or no change.

ANSWER:

Step 1 of 3

Rotational speed is the same for every point of the wheel, but only the edge of the wheel is in contact with the road so the distance to the edge from the center of the wheel is important for the tangential speed. These three values are connected in this equation:

Where '  ' is rotational speed, '  ' is tangential speed and '  ' is the wheel's radius.

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