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A speedometer on the front wheel of a bicycle gives a reading that is directly proportional to the angular speed of the wheel. Suppose that such a speedometer is calibrated for a wheel of diameter 72 cm but is mistakenly used on a wheel of diameter 62 cm. Would the linear speed reading be wrong? If so, in what sense and by what fraction of the true speed?

A speedometer on the front wheel of a bicycle gives a reading that is directly proportional to the angular speed of the wheel. Suppose that such a speedometer is calibrated for a wheel of diameter 72 cm but is mistakenly used on a wheel of diameter 62 cm. Would the linear speed reading be wrong? If so, in what sense and by what fraction of the true speed?

Grade:upto college level

1 Answers

Navjyot Kalra
askIITians Faculty 654 Points
8 years ago
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