A particle is moving in a circle of radius r with a constant speed v. What is th
Practice Questions
Q1
A particle is moving in a circle of radius r with a constant speed v. What is the angular velocity? (2022)
v/r
r/v
vr
v²/r
Questions & Step-by-Step Solutions
A particle is moving in a circle of radius r with a constant speed v. What is the angular velocity? (2022)
Step 1: Understand that angular velocity (ω) measures how fast something is rotating around a circle.
Step 2: Know that the speed (v) of the particle is how fast it is moving along the circular path.
Step 3: Recognize that the radius (r) is the distance from the center of the circle to the particle.
Step 4: Use the formula for angular velocity, which is ω = v/r.
Step 5: Plug in the values of speed (v) and radius (r) into the formula to find the angular velocity.
Angular Velocity – Angular velocity (ω) is the rate of change of angular displacement and is calculated as the linear speed (v) divided by the radius (r) of the circular path.
Uniform Circular Motion – The motion of an object moving at a constant speed in a circular path, where the direction of the velocity vector changes continuously.
