Chapter 8, Problem 95A

To determine

To explain: The effect of increasing diameter of tires on the reading of speedometer.

Explanation of Solution

Introduction:

Angular velocity determines the rate of change of angular position with repect to time. Mathematically it is given as,

  $\omega =\frac{\Delta \theta }{\Delta t}=\frac{v}{r}$

Where,

v is the linear velocity and r is the radius.

Speedometer is a device that measures the instantaneous speed of a vehicle.

Speedometer is used to measure the angular velocity of the wheel. Angular velocity of the wheel is inversely proportional to diameter of a wheel. So, if the diameter of wheel increases, then angular velocity of the wheel will decrease. Thus, the reading of speedometer will also decrease.