Rotational dynamics Key Terms

Torque

Torque is the measure of the turning force on an object, calculated as the product of force and the distance from the pivot point.

Force (F = ma)

Force is the interaction that causes an object to accelerate, defined by Newton's second law as the product of mass and acceleration.

Angular Momentum

The quantity of rotation of a body, calculated as the product of its moment of inertia and angular velocity.

Moment of Inertia

A measure of an object's resistance to changes in its rotation, dependent on the mass distribution relative to the axis of rotation.

Angular Momentum

The quantity of rotation of a body, calculated as the product of its moment of inertia and angular velocity.

Conservation of Angular Momentum

The principle stating that the total angular momentum of a closed system remains constant if no external torques act on it.

Moment of Inertia

The resistance of a body to changes in its rotational motion, dependent on the mass distribution relative to the axis of rotation.

Angular Momentum

The product of a body's moment of inertia and its angular velocity, representing the quantity of rotation of the body.

Angular Momentum

The quantity of rotation of a body, calculated as the product of its moment of inertia and angular velocity.

Torque

A measure of the force that can cause an object to rotate about an axis, calculated as the product of the force and the distance from the axis of rotation.

Torque

Torque is the measure of the turning force on an object, calculated as the product of force and the distance from the pivot point.

Work Done by Torque

The work done by a torque is calculated using the formula W = τ × θ, where W is work done, τ is torque, and θ is the angular displacement in radians.

Power in rotating systems

The rate at which work is done or energy is transferred in a rotating system, calculated using the formula P = τ × ω, where P is power, τ is torque, and ω is angular speed.

Torque

A measure of the turning force on an object, calculated as τ = F × r, where τ is torque, F is the force applied, and r is the distance from the pivot point to the line of action of the force.

Rotational Power

The rate at which work is done in a rotating system, calculated using the formula P = τ × ω, where P is power, τ is torque, and ω is angular speed.

Torque

The measure of the turning force on an object, calculated as τ = r × F, where τ is torque, r is the distance from the pivot point to the point of force application, and F is the force applied.

Torque

Torque is the measure of the turning force on an object, calculated as the product of force and the distance from the pivot point.

Angular Momentum

Angular momentum is the rotational equivalent of linear momentum, defined as the product of an object's moment of inertia and its angular velocity.