A student rides his bicycle at a constant speed of 2.20 m/s along a straight, level road. If the bike's tires each have a radius of 0.338 m, determine the following.

(a) What is the tires' angular speed?
rad/s

(b) What is the net torque on each tire?
N · m

To solve this problem, we need to understand the relationship between linear speed and angular speed, as well as find the formula for torque.

(a) The linear speed of the bicycle is given as 2.20 m/s. To find the angular speed, we can use the formula:

Angular speed = Linear speed / Radius

The radius of each tire is given as 0.338 m. Plugging in the given values, we get:

Angular speed = 2.20 m/s / 0.338 m
= 6.507 rad/s

Therefore, the tires' angular speed is 6.507 rad/s.

(b) To find the net torque on each tire, we need to use the formula:

Net torque = Moment of inertia x Angular acceleration

However, since the bicycle is moving at a constant speed, there is no angular acceleration. Therefore, the net torque on each tire is zero (0 N · m).

So, the net torque on each tire is 0 N · m.

Probably 7