CIE A2-Uniform-Circular-Motion

Uniform Circular Motion

The motion of an object moving in a circle at a constant speed.

Angular Displacement (θ)

The angle formed by an object moving in a circle about a point, measured in radians.

Linear Velocity (v)

The rate of change of linear displacement about a point, measured in m/s.

Angular Velocity (ω)

The rate of change of angular displacement about a point, measured in rad/s.

Centripetal Acceleration (a_c)

The rate of change of linear velocity directed towards the center of the circular path.

Centripetal Force (F_c)

The resultant force that causes centripetal acceleration, allowing an object to move in a circle.

Revolutions per Minute (rpm)

A unit of rotational speed indicating the number of complete revolutions made in one minute.

Tangential velocity

The linear speed of something moving along a circular path, tangentially at any point.

Resultant Force

The total force acting on an object, which can change its state of motion.

Friction

The resisting force that occurs when two surfaces slide against each other.

Newton's Third Law

For every action, there is an equal and opposite reaction.

Centrifugal Force

An apparent force that acts outward on a body moving around a center, arising from the body's inertia.

Vertical Circle

A circular path that is oriented vertically, affecting forces acting on the object in motion.

Minimum Speed of Rotation

The least speed required for an object to maintain circular motion without falling.

Acceleration due to gravity (g)

The acceleration of an object caused by the force of gravity, approximately 9.81 m/s².

Contact Force

A force that acts at the point of contact between two objects.

Tension Force (T)

The pulling force transmitted through a string, rope, or wire.

Centripetal Acceleration formula

Given by a_c = v²/r, where v is the linear speed and r is the radius of the circle.

Centripetal Force formula

Given by F_c = m * a_c, which can also be expressed as F_c = m * (v²/r).

Angular velocity formula

ω = 2πf, where f is the frequency in revolutions per second.