A car is traveling at a constant speed on the highway. Its tires have a diameter of 66.0 cm and are rolling without sliding or slipping. If the angular speed of the tires is 55.0 rad/s, what is the speed of the car, in SI units? Expr

v = 18.15 m/s

Explanation:

Given that

diameter, d = 66 cm

radius, r = 33 cm

Angular speed of the wheel,ω = 55 rad/s

lets take linear speed of the wheel = v m/s

We know that for condition for rolling without sliding

v = ω r

Now by putting the values

v = ω r

v = 55 x 0.33 m/s (100 cm = 0.01 m)

v = 18.15 m/s

So the linear speed of the car will be 18.15 m/s