How to calculate the tangential speed in circular motion?

To calculate the tangential speed in circular motion, use the formula v = rω, where v is the tangential speed, r is the radius of the circle, and ω is the angular velocity.

In circular motion, an object moves in a circular path at a constant speed. The tangential speed is the speed of the object along the tangent to the circle at any given point. It is perpendicular to the radial direction, which points towards the centre of the circle.

The tangential speed can be calculated using the formula v = rω, where v is the tangential speed, r is the radius of the circle, and ω is the angular velocity. The angular velocity is the rate at which the object rotates around the centre of the circle, measured in radians per second.

For example, if a car is moving in a circular path with a radius of 10 metres and an angular velocity of 2 radians per second, the tangential speed can be calculated as follows:

v = rω
v = 10 x 2
v = 20 metres per second

Therefore, the tangential speed of the car is 20 metres per second.