Which of the following statements is false for a particle moving in a circle with a constant angular speed?
A
The velocity vector is tangent to the circle
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B
The acceleration vector is tangent to the circle
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C
The acceleration vector points to the centre of the circle
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D
The velocity and acceleration vectors are perpendicular to each other
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Solution
The correct option is C The acceleration vector is tangent to the circle A particle moving in a circle with a constant angular speed has centripetal acceleration only and zero tangential acceleration.
As v=rw
w= constant ⟹v= constant , thus av=0
Also centripetal acceleration, ac=rw2 towards centre.