Question

What is the angular velocity (in rad/s) of a 100.0-cm-diameter tire on an automobile traveling at 100.0 km/h?

Remember to convert measurements to MKS (meters, kilograms, seconds) during your calculations. Use 3 significant figures for your answers (e.g. 12.3 rad/s).

Answer 1

The angular velocity of the tire is 55.6 rad/s.

Step-by-step explanation:

To find the angular velocity, we first need to convert the diameter of the tire to meters. The diameter of the tire is 100.0 cm, which is equivalent to 1.00 m. Next, we need to convert the speed of the car from km/h to m/s. The speed of the car is 100.0 km/h, which is equivalent to 27.8 m/s.

Angular velocity (ω) is given by the formula ω = v/r, where v is the linear velocity and r is the radius of the tire.

Using the given data:

ω = (27.8 m/s) / (0.50 m)

ω = 55.6 rad/s

Therefore, the angular velocity of the tire is 55.6 rad/s.