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When a particle moves with a uniform velocity along a circular path, then the particle has
- a)tangential acceleration only
- b)centripetal acceleration only
- c)both tangential and centripetal acceleration
- d)none of the mentioned
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
When a particle moves with a uniform velocity along a circular path, t...
Explanation:
When a particle moves with uniform velocity along a circular path, it means that the speed of the particle is constant. However, the direction of the particle is constantly changing as it moves around the circle. This means that the particle is accelerating, as acceleration is defined as any change in velocity, including a change in direction.
The acceleration of a particle moving in a circle can be broken down into two components: tangential and centripetal acceleration.
Tangential Acceleration: This component of acceleration is parallel to the velocity vector of the particle, and it results from any change in the speed of the particle. When a particle moves with uniform velocity along a circular path, its speed is constant, so there is no tangential acceleration.
Centripetal Acceleration: This component of acceleration is perpendicular to the velocity vector of the particle, and it is responsible for keeping the particle moving in a circular path. The centripetal acceleration is always directed towards the center of the circle, and its magnitude is given by the formula a = v^2/r, where v is the speed of the particle and r is the radius of the circle.
Since the particle is moving with uniform velocity along a circular path, its speed is constant, but its direction is constantly changing due to the centripetal acceleration. Therefore, the particle has only centripetal acceleration and no tangential acceleration.
Conclusion:
Hence, option B- "Centripetal acceleration only" is the correct answer.
When a particle moves with uniform velocity along a circular path, it means that the speed of the particle is constant. However, the direction of the particle is constantly changing as it moves around the circle. This means that the particle is accelerating, as acceleration is defined as any change in velocity, including a change in direction.
The acceleration of a particle moving in a circle can be broken down into two components: tangential and centripetal acceleration.
Tangential Acceleration: This component of acceleration is parallel to the velocity vector of the particle, and it results from any change in the speed of the particle. When a particle moves with uniform velocity along a circular path, its speed is constant, so there is no tangential acceleration.
Centripetal Acceleration: This component of acceleration is perpendicular to the velocity vector of the particle, and it is responsible for keeping the particle moving in a circular path. The centripetal acceleration is always directed towards the center of the circle, and its magnitude is given by the formula a = v^2/r, where v is the speed of the particle and r is the radius of the circle.
Since the particle is moving with uniform velocity along a circular path, its speed is constant, but its direction is constantly changing due to the centripetal acceleration. Therefore, the particle has only centripetal acceleration and no tangential acceleration.
Conclusion:
Hence, option B- "Centripetal acceleration only" is the correct answer.
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Community Answer
When a particle moves with a uniform velocity along a circular path, t...
The acceleration of a particle at any instant moving along a circular path in a direction normal to the tangent at that instant and directed towards the centre of the circular path is known as normal component of the acceleration or normal acceleration. It is also called radial or centripetal acceleration.
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