Rotation angle

Definition

Rotation angle is the measure of the angle through which an object moves on a circular path. It is usually measured in radians.

5 Must Know Facts For Your Next Test

1. The rotation angle can be calculated using the formula $\theta = \frac{s}{r}$, where $s$ is the arc length and $r$ is the radius of the circle.
2. One complete revolution corresponds to a rotation angle of $2\pi$ radians or 360 degrees.
3. Rotation angles can be positive (counterclockwise) or negative (clockwise).
4. The concept of angular displacement is closely related to rotation angle and signifies the change in rotation angle over time.
5. In uniform circular motion, the rotation angle changes at a constant rate.

Review Questions

• How do you calculate the rotation angle given the arc length and radius?
• What is the rotation angle for one complete revolution in radians?
• Explain how rotation angles are represented in terms of direction.

Related terms

Angular Velocity: Angular velocity is the rate at which an object rotates or revolves around a central point, measured in radians per second.

Radians: Radians are a unit of angular measure used in mathematics and physics, where one radian represents the angle subtended by an arc length equal to the radius of a circle.

Uniform Circular Motion: Uniform circular motion describes movement along a circular path with constant speed.