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
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.
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