Abicycle wheel with a radius of 34 cm is given an angular acceleration of 2.64 rad/s62
by applying a force of 0.32 n on the edge of the wheel. what is the wheel's moment of inertia?

Explanation:

The bicycle wheel can be modeled as a hoop, which moment of inertia is:

(1) Where is the mass and is the radius.

However, since we are given the applied force and angular acceleration , we can use the following equation:

(2)

Where:

Isolating :

(3)

(4)

Finally:

This is the bicycle wheel moment of inertia

One reason we should know what the directions of the forces acting on an object is so we can know if we have to add or subtract. same = add together, opposite = subtract from each other. Also if we don't pay attention to the direction the Net force will be wont be accurate. There will be factors that will upset the calculation.So we must know the direction of the two forces because we have to know if we are adding or subtracting and if the answer is accurate.

I hope this helps!.