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an object travels in a circular path of radius r at a constant speed v. what happens to the object's acceleration if the speed is doubled and the radius stays unchanged?



Answer :

If the speed is doubled and the radius stays unchanged Acceleration becomes half.

For uniform circular motion, acceleration=v2/r where v is velocity and r is radius.

Let initial velocity be V and initial radius be R. So, initial acceleration = V2/R.

Finally, velocity is unchanged(=V) and radius is doubled. So, radius is 2R.

Hence, centripetal acceleration = V2/(2R) = 1/2 V2/R.

So, acceleration becomes half.

Any change in an object's velocity causes an acceleration, including increasing speed, decreasing speed, or changing direction. Yes, that's correct even when the traveling item neither speeds up nor slows down a change in direction of motion causes an acceleration.

Learn more about Acceleration here:

https://brainly.com/question/12550364

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