If a body is moving in a circular path with a radius of 10 m and completes one f
Practice Questions
Q1
If a body is moving in a circular path with a radius of 10 m and completes one full revolution in 5 seconds, what is its angular velocity?
0.2 rad/s
1.25 rad/s
2 rad/s
4 rad/s
Questions & Step-by-Step Solutions
If a body is moving in a circular path with a radius of 10 m and completes one full revolution in 5 seconds, what is its angular velocity?
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 for one full revolution.
Step 2: Identify the time for one full revolution from the question. It is given as 5 seconds.
Step 3: Substitute the value of T into the formula. So, ω = 2π/5.
Step 4: Calculate the value of 2π/5. This gives you approximately 1.25.
Step 5: Conclude that the angular velocity is 1.25 radians per second.
Angular Velocity – Angular velocity is the rate of change of angular displacement and is calculated as the angle covered per unit time, typically expressed in radians per second.
Circular Motion – The motion of an object in a circular path, where the radius and time period are key factors in determining angular velocity.
Period of Revolution – The time taken to complete one full revolution, which is crucial for calculating angular velocity.
