Question

A car is traveling at a constant speed on the highway. Its tires have a diameter of 61.0 cm and are rolling without sliding or slipping. If the angular speed of the tires is 51.0 rad/s , what is the speed of the car, in SI units

Answer 1

The value is
`v = 15.6 \ m/s`

Step-by-step explanation:

From the question we are told that

The diameter of the tire is
`d = 61.0 \ cm = 0.610\ m`

The angular speed of the tire is
`w = 51.0 \ rad/s`

Generally the radius of the car tire is mathematically represented as

`r = (d)/(2)`

=>
`r = ( 0.61 )/(2)`

=>
`r = 0.305 \ m`

Generally speed of the car is mathematically represented as

`v = w * r`

=>
`v = 51.0 * 0.305`

=>
`v = 15.6 \ m/s`