A cyclist is moving in a circular track of radius 30 m. If the cyclist completes
Practice Questions
Q1
A cyclist is moving in a circular track of radius 30 m. If the cyclist completes one round in 12 seconds, what is the angular velocity of the cyclist?
π/6 rad/s
π/3 rad/s
2π/6 rad/s
2π/3 rad/s
Questions & Step-by-Step Solutions
A cyclist is moving in a circular track of radius 30 m. If the cyclist completes one round in 12 seconds, what is the angular velocity of the cyclist?
Step 1: Understand that angular velocity (ω) measures how fast something is rotating. It is calculated using the formula ω = 2π/T, where T is the time taken to complete one full rotation.
Step 2: Identify the time (T) it takes for the cyclist to complete one round. In this case, T = 12 seconds.
Step 3: Substitute the value of T into the formula: ω = 2π/12.
Step 4: Simplify the fraction: 2π/12 = π/6.
Step 5: Conclude that the angular velocity of the cyclist is π/6 radians per second.
Angular Velocity – Angular velocity is the rate of change of angular displacement and is calculated as the total angle covered divided by the time taken.
Circular Motion – The motion of an object in a circular path, where the radius and time period are key factors in determining angular velocity.
