Question

The speedometer on a car actually measures the rotational speed of the axle and converts that to the linear speed of the car, assuming the car’s tires diameter is 0.62 m. What is the rotational speed of the axle when the car is traveling 20 m/s?

Answer 1

              (26 m/s)(1 rotation/0.62π m) ≈ 13.35 rotations/s that will do pig that'll do

Answer 2

Explanation :

It is given that,

The diameter of the car's diameter, d = 0.62 m

Radius, r = 0.31 m

Speed of the car, v = 20 m/s

We know that the relation between the angular velocity and linear velocity is given by :

$v=r\omega$

Where $\omega$ is angular velocity

$\omega=\dfrac{v}{r}$

$\omega=\dfrac{20\ m/s}{0.31\ m}$

$\omega=64.5\ rotations/sec$

Hence, this is the required solution.