A cyclist is moving in a circular path of radius 15 m with a speed of 6 m/s. Wha
Practice Questions
Q1
A cyclist is moving in a circular path of radius 15 m with a speed of 6 m/s. What is the angular velocity of the cyclist?
0.4 rad/s
0.6 rad/s
0.8 rad/s
1.0 rad/s
Questions & Step-by-Step Solutions
A cyclist is moving in a circular path of radius 15 m with a speed of 6 m/s. What is the angular velocity of the cyclist?
Step 1: Identify the given values. The speed (v) of the cyclist is 6 m/s and the radius (r) of the circular path is 15 m.
Step 2: Understand the formula for angular velocity (ω). The formula is ω = v / r.
Step 3: Substitute the values into the formula. Replace v with 6 m/s and r with 15 m.
Step 4: Calculate the angular velocity. Perform the division: 6 m/s divided by 15 m.
Step 5: Simplify the result. 6 divided by 15 equals 0.4.
Step 6: State the final answer. The angular velocity of the cyclist is 0.4 rad/s.
Angular Velocity – Angular velocity is the rate of change of angular displacement and is calculated as the linear velocity divided by the radius of the circular path.
Circular Motion – Understanding the relationship between linear speed and angular speed in circular motion is crucial for solving problems related to objects moving in circles.
