A cyclist is moving in a circular track of radius 30 m. If the cyclist completes

₹0.0

📥 Instant PDF Download
♾ Lifetime Access
🛡 Secure & Original Content

What’s inside this PDF?

Question: 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?

Options:

π/6 rad/s
π/3 rad/s
2π/6 rad/s
2π/3 rad/s

Correct Answer: π/3 rad/s

Solution:

Angular velocity (ω) = 2π/T = 2π/12 = π/6 rad/s.

A cyclist is moving in a circular track of radius 30 m. If the cyclist completes

Practice Questions

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.

A cyclist is moving in a circular track of radius 30 m. If the cyclist completes

What’s inside this PDF?

A cyclist is moving in a circular track of radius 30 m. If the cyclist completes

Practice Questions

Questions & Step-by-Step Solutions

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?