Acceleration towards a the centre of a circular motion

In summary, acceleration towards the centre of a circular motion is the change in velocity of an object as it moves around a circular path, always directed towards the centre of the circle and perpendicular to the object's velocity. It can be calculated using the formula a = v²/r and is primarily caused by the centripetal force. It can be negative if the object is slowing down or changing direction, and the speed of an object does not affect its acceleration, but the velocity does.
  • #1
Oerg
352
0
ok can anyone please help me derive the acceleration towards the centre of a body in circular motion a=v^2/r, ? thanks a ton.
 
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  • #3
http://en.wikipedia.org/wiki/Circular_motion" explains it pretty well. I spent a fair amount of time doodling on paper and struggling to answer when it is in fact deceptively simple.
 
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  • #4
wow thanks for the help
 

1. What is acceleration towards the centre of a circular motion?

The acceleration towards the centre of a circular motion is the change in velocity of an object as it moves around a circular path. It is always directed towards the centre of the circle and is perpendicular to the object's velocity at any given point.

2. How is acceleration towards the centre of a circular motion calculated?

Acceleration towards the centre of a circular motion can be calculated using the formula a = v²/r, where a is acceleration, v is velocity, and r is the radius of the circle.

3. What causes acceleration towards the centre of a circular motion?

The primary cause of acceleration towards the centre of a circular motion is the centripetal force, which is a force that acts towards the centre of the circle and keeps the object in its circular path.

4. Can acceleration towards the centre of a circular motion be negative?

Yes, acceleration towards the centre of a circular motion can be negative. This occurs when the object is slowing down or changing direction in its circular path.

5. How does the speed of an object affect its acceleration towards the centre of a circular motion?

The speed of an object does not affect its acceleration towards the centre of a circular motion. However, the velocity (which includes the direction of motion) does affect the acceleration, as a change in velocity will result in a change in acceleration.

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