How is speed calculated in circular motion?

The speed in circular motion is calculated using the formula v = rω.

Circular motion is the movement of an object along a circular path. The speed of an object in circular motion is the distance travelled per unit time. It is different from the velocity, which is the speed in a particular direction. The speed in circular motion is calculated using the formula v = rω, where v is the speed, r is the radius of the circle, and ω is the angular velocity.

Angular velocity is the rate of change of the angle of rotation of an object. It is measured in radians per second (rad/s). The angle of rotation is the angle through which an object has rotated in a given time. The angular velocity is calculated using the formula ω = Δθ/Δt, where Δθ is the change in angle and Δt is the change in time.

The radius of the circle is the distance from the centre of the circle to any point on the circumference. It is measured in metres (m). The speed in circular motion is directly proportional to the radius and the angular velocity. This means that if the radius or the angular velocity increases, the speed also increases. Conversely, if the radius or the angular velocity decreases, the speed also decreases.

In conclusion, the speed in circular motion is calculated using the formula v = rω, where v is the speed, r is the radius of the circle, and ω is the angular velocity. The radius is the distance from the centre of the circle to any point on the circumference, and the angular velocity is the rate of change of the angle of rotation of an object.