Finding angular acceleration vector

Question

A couterclockwise torque of 0.96 Nm is applied to a bicycle wheel of radius 33 cm and mass 0.77 kg. what is the angular acceleration vector?

Answer 1

Assumptions: -

1. Mass of the spokes is negligible.

2. Thickness of the tube is negligible compared to the radius of the wheel.

Moment of inertia I = M * R^2,

where M = mass of wheel = 0.77 kg

R = 33 cm = 0.33 m

Calculate I now.

Torque = 0.96 Nm

Angular acceleration = Torque/I

Calculate the rest.