Question

The total acceleration of a rotating objects is the vector addition of both translation and centripetal...

The total acceleration of a rotating objects is the vector addition of both translation and centripetal acceleration. True or False?

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Answer #1

True.

Explanation:

If a particle is moving in a straight line. There can be only translational acceleration only. Tangential acceleration may be zero as well, and accordingly the particle will move with constant velocity or not.

But when the motion of particle is moving in a cicle, it will have translational as well as centripetal acceleration (v^2/R).

If both are nonzero then both the speed or direction or both may change. The resultant motion may be circular or may not be.

So, the total acceleration of the object a(T) = a(Translational) + a (centripetal)

a(T) = a + v^2/R

Both being vector, so of-course it will be a vector sum.

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