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Q.

Suppose a car's standard tires are replaced with tires 1.50 times larger in diameter. Will the car's speedometer reading be

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a

1.50 times worse

b

2.25 times too high

c

1.50 times too high

d

2.25 times too low

answer is C.

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Detailed Solution

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The speedometer measures the number of revolutions per second of the tires. A larger tire will rotate fewer times to cover the same distance. The speedometer reading is assumed proportional to the rotation rate of the tires, ω = vR, for a standard tire radius R, but the actual reading is ω = v(1.5)R , or 1.5 times smaller. Example: When the car travels at 15 km/h, the speedometer reads 10 km/h.

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