A particle is continuously moving along a circle of radius $R$ with constant speed $v$ then its average velocity over a long interval of time is ___________.

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Solution

Explanation:
1. Average velocity:
It is defined as the displacement of a particle divided by the time interval for the displacement.
It is a vector quantity.
Its SI unit is $m s^{- 1}$
2. The average velocity of a particle over a long interval of time, when it is continuously moving along a circle of radius $R$ :
After a long interval of time, it can be assumed that the particle reaches the initial point from which it started.
Since the initial and final positions are the same, then the displacement is zero.
We know, $A v e r a g e v e l o c i t y = \frac{d i s p l a c e m e n t}{t i m e t a k e n}$
$\Rightarrow A v e r a g e v e l o c i t y = \frac{0}{t} = 0 m s^{- 1}$

Hence, if a particle is continuously moving along a circle of radius $R$ with constant speed $v$ , then its average velocity over a long interval of time is zero.

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A particle is continuously moving along a circle of radius R with constant speed v then its average velocity over a long interval of time is ___________.

A particle is continuously moving along a circle of radius $R$ with constant speed $v$ then its average velocity over a long interval of time is ___________.