# If an object travels in a circular path of radius R with constant angular speed . Find its displacement after time t.

### Asked by a.behera67 | 22nd Oct, 2015, 07:25: PM

Expert Answer:

### The angular speed of the object is ω.
Now, in circular motion angular speed is defined as the rate of change of angular displacement θ.
Hence, we have .
Now, by completing one full circle the displacement of object will be 2π
This displacement will take a time equal to time period T.
So, the displacement in time t will be
Hence, the displacement of object after time t is ωt.

### Answered by Romal Bhansali | 24th Oct, 2015, 02:17: PM

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