A car is performing circular motion with angular velocity 2π rad/s. Its time period will be :

CONCEPT:

Time Period in Circular Motion

• The time period (T) of a circular motion is the time taken to complete one full revolution.
• It is related to the angular velocity (ω) by the formula:

  T = ^2π/_ω

EXPLANATION:

• Angular velocity (ω) = 2π rad/s
• Using the formula:
  • T = ^2π/_ω
  • T = ^2π/_2π
  • T = 1 second

Therefore, the time period (T) of the car's circular motion is 1 second.