Kevin decides to soup up his car by replacing the car’s wheels with ones that have 1.4 times the diameter of the original wheels. Note that

Question

Kevin decides to soup up his car by replacing the car’s wheels with ones that have 1.4 times the diameter of the original wheels. Note that the speedometer in a car is calibrated based on the tire’s diameter and on the distance the tire covers in each revolution. (a) Will the reading of the speedometer change

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Thu Thủy 1 year 2021-09-05T02:35:12+00:00 1 Answers 30 views 0

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    2021-09-05T02:36:38+00:00

    Answer:

    No.

    Explanation:

    Given that Kevin decides to soup up his car by replacing the car’s wheels with ones that have 1.4 times the diameter of the original wheels. Note that the speedometer in a car is calibrated based on the tire’s diameter and on the distance the tire covers in each revolution. (a) Will the reading of the speedometer change ?

    Considering the formula

    V = wr

    Where

    V = linear speed

    W = angular speed

    r = radius of the wheel.

    But W = 2πrf

    Where the the 2 and pi are constant. The radius of the first wheel will be small but counter balance with the larger frequency.

    While the radius of the second wheel may be large but it will be of a small frequency.

    We can therefore conclude that the reading on the speedometer will not change. Because speedometer will read the linear speed V.

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