A particle moves in a circle of radius 3 m with a speed of 6 m/s. What is the an
Practice Questions
Q1
A particle moves in a circle of radius 3 m with a speed of 6 m/s. What is the angular velocity of the particle?
1 rad/s
2 rad/s
3 rad/s
4 rad/s
Questions & Step-by-Step Solutions
A particle moves in a circle of radius 3 m with a speed of 6 m/s. What is the angular velocity of the particle?
Step 1: Identify the speed of the particle, which is given as 6 m/s.
Step 2: Identify the radius of the circle, which is given as 3 m.
Step 3: Use the formula for angular velocity, which is ω = v / r.
Step 4: Substitute the values into the formula: ω = 6 m/s / 3 m.
Step 5: Calculate the result: 6 divided by 3 equals 2.
Step 6: Conclude that the angular velocity of the particle is 2 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.
Circular Motion – The motion of an object in a circular path, where the speed is constant but the direction changes, resulting in centripetal acceleration.
