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An object is moving at a constant rate of 10 m/s in a horizontal circular path. If the radial acceleration of the object is 25 m/s2, the radius of the circular path (in m) is:Group of answer choices1054252

Question

An object is moving at a constant rate of 10 m/s in a horizontal circular path. If the radial acceleration of the object is 25 m/s2, the radius of the circular path (in m) is:Group of answer choices1054252

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Solution

The radial or centripetal acceleration of an object moving in a circular path is given by the formula:

a = v^2 / r

where: a is the radial acceleration, v is the velocity of the object, and r is the radius of the circular path.

We can rearrange this formula to solve for r:

r = v^2 / a

Substituting the given values:

r = (10 m/s)^2 / 25 m/s^2 r = 100 m^2/s^2 / 25 m/s^2 r = 4 m

So, the radius of the circular path is 4 meters.

This problem has been solved

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