A particle is moving in a circular path of radius r with a constant angular spee

A particle is moving in a circular path of radius r with a constant angular speed ω. What is the tangential speed of the particle?

A particle is moving in a circular path of radius r with a constant angular speed ω. What is the tangential speed of the particle?

Step 1: Understand that the particle is moving in a circle with a certain radius, which is given as r.
Step 2: Know that the particle is moving with a constant angular speed, represented by the symbol ω (omega).
Step 3: Recognize that tangential speed (v) is the speed of the particle along the circular path.
Step 4: Use the formula that relates tangential speed to radius and angular speed, which is v = rω.
Step 5: Substitute the values of r and ω into the formula to find the tangential speed.

Tangential Speed – The speed of a particle moving along a circular path, calculated as the product of the radius of the circle and the angular speed.
Angular Speed – The rate of rotation of an object, typically measured in radians per second.
Circular Motion – The motion of an object in a circular path, which involves concepts of radius, angular speed, and tangential speed.