A particle moves in a circular path with a constant speed of 10 m/s. What is the
Practice Questions
Q1
A particle moves in a circular path with a constant speed of 10 m/s. What is the angular velocity if the radius of the path is 2 m?
2 rad/s
5 rad/s
10 rad/s
20 rad/s
Questions & Step-by-Step Solutions
A particle moves in a circular path with a constant speed of 10 m/s. What is the angular velocity if the radius of the path is 2 m?
Step 1: Identify the given values. The speed (v) of the particle is 10 m/s and the radius (r) of the circular path is 2 m.
Step 2: Recall the formula for angular velocity (ω), which is ω = v / r.
Step 3: Substitute the values into the formula. Replace v with 10 m/s and r with 2 m.
Step 4: Calculate the angular velocity. Divide 10 by 2 to get 5.
Step 5: State the final answer. The angular velocity is 5 rad/s.
Angular Velocity – Angular velocity is the rate of change of angular displacement and is calculated as the linear speed divided by the radius 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.
