Question

A particle is moving in a uniform circular motion with constant speed v along a circle of radius r. The acceleration-of the parti- cle is

Answer 1

The answer is ..tangential acceration is zero

And centripetal acceration is mv^2/r

Answer 2

Answer:

A particle is moving in a uniform circular motion with constant speed v along a circle of radius r having an acceleration of v²/r.

Explanation:

• When an object moves in a circular motion, it exhibits centripetal acceleration.
• Any object moving in a circle with an acceleration vector pointing in the direction of the circle's centre is said to be experiencing centripetal acceleration.
• When the speed of a particle moving in a circular path with uniform circular motion is v and the radius is r, the acceleration is defined as a = v²/r, where v is the speed and r is the radius.
• Centripetal forces cause centripetal accelerations.
• Example of centripetal force - The centripetal force driving the motion in the unique situation of the Earth's circular motion around the Sun or any satellite's circular motion around any celestial body is the result of their gravitational attraction to one another.

Thus, the acceleration of the particle is v²/r.

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