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Assertion: In circular motion, dot produ...

Assertion: In circular motion, dot product of velocity vector `(v)` and acceleration vector `(a)` may be positive, negative or zero.
Reason: Dot product of angular velocity vector and linear velocity vector is always zero.

A

If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.

B

If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.

C

If Assertion is true, true but the Reason is false.

D

If Assertion is false but the Reason is true.

Text Solution

Verified by Experts

The correct Answer is:
B

In first figure, `v.a=0`
In second figure, `v.a=` positive and
In third figure, `v.a=` negative
Further, `omega` and `v` are always perpendicular, so
`omega.v=0`
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Knowledge Check

  • In uniform circular motion, the velocity vector and acceleration vector are

    A
    Perpendicular to each other
    B
    Same direction
    C
    Opposite direction
    D
    Not related to each other

  • The direction of the angular velocity vector is along

    A
    the tangent to the circular path
    B
    the axis of rotation
    C
    the inward radius
    D
    the outward radius

  • Velocity vector and acceleration vector in a uniform circular motion are related as

    A
    both in the same direction
    B
    perpendicular to each other
    C
    both in oppsite direction
    D
    not related to each other

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