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Answer :

If an object moves around a circle of radius r at constant speed v, it has an acceleration towards the center of the circle, of magnitude: 7",, the magnitude of the acceleration towards the center of the circle is:

a = v^2/r

The acceleration of an object moving around a circle at constant speed is not constant. The magnitude of the acceleration is equal to the square of the speed, divided by the radius of the circle. Therefore, the magnitude of the acceleration towards the center of the circle is:

a = v^2/r

An object moving around a circle of radius r at constant speed v experiences an acceleration towards the center of the circle. This acceleration is known as centripetal acceleration, and is equal to the square of the speed, divided by the radius of the circle. Mathematically, this can be expressed as a = v^2/r. Therefore, the magnitude of the acceleration towards the center of the circle is equal to v^2/r.

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