Q8

Group 7 questions

A bicycle wheel has a radius of 0.4m and a mass of 2kg. Assume the mass of the spokes are small so you can treat the wheel as a hollow hoop.

QUESTION 8.1

8A

What is the moment of inertia of the wheel spinning around its axel?

QUESTION 8.2

8B

If a force of 10 N is applied tangentially to the outer edge of the wheel, what is the torque on the wheel around it axel?

QUESTION 8.3

8C

Assuming the wheel is free to spin without friction, what will be the angular acceleration of the wheel while this force is applied?

QUESTION 8.4

8D

If the wheel started at rest, what will be its angular velocity after the force was applied for 5 seconds?

QUESTION 8.5

8E

What is the linear speed of the tread (outer edge) of the wheel after these 5 seconds have passed?

QUESTION 8.6

8F

What is the rotational kinetic energy of the spinning wheel after these 5 seconds?

QUESTION 8.7

8G

The wheel is then placed on the ground and allowed to roll up a ramp. How high off the ground would it get before it stopped? Assume the wheel starts with only its rotational kinetic energy and no energy is lost when the wheel touches the ground or through friction. (Hint: Use conservation of energy)