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The relation of mass m, angular velocity o and radius of the circular path r of an object with the centripetal force is-

a. F = m²wr
b. F = mwr²
c. F = mw²r
d. F = mwr. ​

User Omarrrio
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1 Answer

2 votes

Answer:

Correct option not indicated

Step-by-step explanation:

There are few mistakes in the question. The angular velocity ought to have been denoted with "ω" and not "o" (as also suggested in the options).

The formula to calculate a centripetal force (F) is

F = mv²/r

Where m is mass, v is velocity and r is radius

where

While the formula to calculate a centrifugal force (F) is

F = mω²r

where m is mass, ω is angular velocity and r is radius of the circular path.

From the above, it can be denoted that the relationship been referred to in the question is that of a centrifugal force and not centripetal force, thus the correct option should be C.

NOTE: Centripetal force is the force required to keep an object moving in a circular path/motion and acts inward towards the centre of rotation while centrifugal force is the force felt by an object in circular motion which acts outward away from the centre of rotation.

User Robert Kelly
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