Tangential velocity

Definition

Tangential velocity is the linear speed of an object moving along a circular path. It is always directed tangent to the circle at the object's position.

5 Must Know Facts For Your Next Test

1. Tangential velocity ($v_t$) can be calculated using $v_t = r\omega$, where $r$ is the radius and $\omega$ is angular velocity.
2. Tangential velocity is perpendicular to the radius of the circular path at any given point.
3. In uniform circular motion, tangential velocity remains constant in magnitude but changes direction.
4. If angular velocity ($\omega$) increases while radius ($r$) remains constant, tangential velocity also increases.
5. Tangential velocity plays a crucial role in connecting linear and rotational kinematics.

Review Questions

• How do you calculate tangential velocity if you know the radius and angular velocity?
• What is the relationship between tangential velocity and radius in uniform circular motion?
• Does tangential velocity change direction or magnitude during uniform circular motion?

Related terms

Angular Velocity: The rate of change of angular displacement, usually measured in radians per second.

Centripetal Acceleration: The acceleration directed towards the center of a circular path, keeping an object in circular motion.

Simple Harmonic Motion: A type of periodic motion where the restoring force is directly proportional to displacement and acts in the direction opposite to that of displacement.