Question

Your car's speedometer works in much the same way as its odometer, except that it converts the angular speed of the wheels to a linear speed of the car, assuming standard-size tires and no slipping on the pavement. Part A If your car has standard 24-in.-diameter tires, how fast are your wheels turning when you are driving at a freeway speed of 35 mph

Answer 1

Speed will be 30810 rpm

Step-by-step explanation:

We have given diameter of the tire d = 24 inch

So radius
`r=(d)/(2)=(24)/(2)=12imch`

We have given linear velocity v = 35 mph

We know that linear velocity is given by
`v=\omega r`

`35=\omega * 12`

`\omega =(35)/(12)* (63360)/(60)=3080rad/min`

As we know that 1 mile = 63360 inch and 1 hour = 60 min