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 (Ο) measures how fast something is rotating. It is calculated using the formula Ο = 2Ο/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, Ο = 2Ο/5.
Step 4: Calculate the value of 2Ο/5. This gives you approximately 1.25.
Step 5: Conclude that the angular velocity is 1.25 radians per second.
Angular Velocity β 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 β 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 β The time taken to complete one full revolution, which is crucial for calculating angular velocity.
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