The speedometer of a truck is set to read the linear speed of the truck, but uses a device that actually meausres the angular speed of the r

Question

The speedometer of a truck is set to read the linear speed of the truck, but uses a device that actually meausres the angular speed of the rolling tires that came with the truck. However, the owner replaces the tires with larger-diameter versions. Does the reading on the speedometer after the replacement give a speed that is less than, equal to, or greater than the true linear speed of the truck?

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Dâu 5 years 2021-08-29T23:11:51+00:00 1 Answers 18 views 0

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  1. Verity
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    2021-08-29T23:13:38+00:00
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    Answer:

    Speed less than the true linear speed of the truck.

    Explanation:

    -Angular velocity best describes the rotational motion of a rigid body(entire object).

    -In contrast, tangential velocity(only describes motion of a single point of the body),v_T is proportional to the radius and angular velocity and is defined as:

    v_T=r\omega

    -The wheels in a rolling motion and the linear sped is defined as:v=r\omega

    #As shown in the two equations,v,v_T, linear speed is directly proportional to r. The angular displacement will however decrease  thus a lower reading on the speedometer.

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