Question

If the boy on the bicycle in the preceding problem accelerates from rest to a speed of 10.0 m/s in 10.0 s, what is the angular acceleration of the tires?

a) 0.05 rad/s²
b) 0.10 rad/s²
c) 0.15 rad/s²
d) 0.20 rad/s²

Answer 1

The angular acceleration of the tires is 1.0 m/s².

Step-by-step explanation:

To find the angular acceleration of the tires, we need to use the formula:

angular acceleration = (final angular velocity - initial angular velocity) / time

Given that the boy on the bicycle accelerates from rest to a speed of 10.0 m/s in 10.0 s, we can calculate the angular acceleration as:

angular acceleration = (10.0 m/s - 0 m/s) / 10.0 s = 1.0 m/s²

Therefore, the angular acceleration of the tires is 1.0 m/s².