Question

Each tire on a car has a radius of 0.330 m and is rotating with an angular speed of 11.7 revolutions/s. Find the linear speed v of the car, assuming that the tires are not slipping against the ground. v

Answer 1

The linear speed of the car, v, is 24.26 m/s

Step-by-step explanation:

Given;

radius of the car's tire, r = 0.330 m

angular speed of the car, ω = 11.7 revolutions/s

The angular speed of the car in radian per second:

`\omega = 11.7 \ (rev)/(s) * (2\pi \ rad)/(1 \ rev) \\\\\omega = 73.523 \ rad/s`

The linear speed of the car, v, is calculated as;

v = ωr

v = 73.523 rad/s x 0.33 m

v = 24.26 m/s

Therefore, the linear speed of the car, v, is 24.26 m/s