The topics which we firmly studied where:
- Rotational and Tangential Velocity
- Rotational Inertia
- Conservation of Angular Momentum
- Torque
- Center of mass/gravity
- Centripetal force
Now let me share my knowledge by explaining everything I have learned in these topics.
Rotational and Tangential Velocity
The difference between Rotational and Tangential velocity is simple, Rotational velocity is the amount of time it takes for an object to make a complete circle. Tangential velocity is just the normal linear speed.
Rotational Inertia
Rotational inertia is the amount of force you need to move an object. This is related with the velocity of an object as well. If an object has a great rotational inertia it will have a low velocity vise versa. There are several ways to change the rotational inertia, for example if a person is spinning on a chair, by bringing his arms closer to his body he is decreasing his rotational inertia, and if he is spreading his arm then he increases his inertia because of the mass away from the center of the object.
Conservation of angular Momentum
Conservation of angular momentum is just the same idea of a skater spinning while decreasing her inertia and increasing her velocity, she can change that straight away while keeping the same exact momentum.
Inertia 1 * velocity 1 = Inertia 2 * velocity 2
Torque
Torque is the force that makes an object rotate on a axis. For example if a ruler is balanced on a axis that means that the net torque adds up to zero, so both sides have the same torque.
Torque = lever arm * force, so if you want to find out a missing force or lever arm if all the rest are given, you use this formula
lever arm * force = lever arm * force
Center of Mass
Center of mass is the point where the mass is concentrated if the center of mass is over the base of support then therefore, the object will stay stable and not topple over. But if it exceeds the base of support then the object will topple over, the pictures below describes the center of mass toppling over the base of support.

Centripetal force
A centripetal force is a force that makes an object follow a curved path, the direction of the force is inwards to the center of the curvature of the path. For example in a washing machine, the dryer spins the clothes around in a fast speed then the centripetal force is acting on the clothes but not the water, so the water escapes through the holes in the dryer while, the clothes remain in the dryer by the centripetal force.
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