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Question

Can a body have a constant speed and still have a varying velocity?


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Solution

Uniform circular motion:

  1. The movement of a body following a circular path is called a circular motion. Now, the motion of a body moving with constant speed along a circular path is called uniform circular motion. Here, the speed is constant but the velocity changes.
  2. If a particle is moving in a circle, it must have some acceleration acting towards the center which is making it move around the center. Since this acceleration is perpendicular to the velocity of a particle at every instant, it is only changing the direction of velocity and not the magnitude.
  3. Uniform circular motion can be described as the motion of an object in a circle at a constant speed). For example, consider a vehicle moving at a constant speed on a circular path. Here, the speed is constant, but the direction of the vehicle is changing continuously. As we know, velocity is a vector quantity, so as the direction of motion changes, velocity also changes.

Yes, if the body is traveling at a uniform speed on a circular track, its speed remains the same but the velocity is non-uniform as the direction of the body is changing every time.


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