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 v 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 v 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 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, radius, and angular speed: v = rω.
Step 5: Substitute the values of r and ω into the formula to find the tangential speed v.

Circular Motion – The relationship between angular speed and tangential speed in circular motion.
Tangential Speed – The linear speed of a point on the circumference of a circle, calculated as the product of radius and angular speed.