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 find the angular speed of the tires, we need to know the linear speed and the radius of the tires. The linear speed is given as 2.20 m/s, and the radius of each tire is given as 0.338 m.
(a) The formula to calculate angular speed is given by:
Angular speed = Linear speed / Radius
Plugging in the values, we have:
Angular speed = 2.20 m/s / 0.338 m
Angular speed ≈ 6.510 rad/s
So, the angular speed of the tires is approximately 6.510 rad/s.
(b) The net torque on each tire can be determined using the formula:
Torque = Angular speed * Moment of Inertia
To calculate the moment of inertia, we need to know the mass and the radius of each tire. However, the mass of the tire is not given in the question. Without the mass, we cannot determine the moment of inertia, and therefore, we cannot determine the net torque on each tire.