Assertion : When a particle moves in a circle | vedclass

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Question

(A) In uniform circular motion,the speed of the particle remains constant,but the direction of motion changes continuously. Since velocity is a vector

Vedclass · Accepted Answer

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

Vedclass · Answer

(A) In uniform circular motion,the speed of the particle remains constant,but the direction of motion changes continuously. Since velocity is a vector quantity,a change in direction implies a change in velocity.Similarly,the centripetal acceleration is directed towards the center of the circle. As the particle moves,the direction of the center relative to the particle changes,so the direction of acceleration also changes.The centripetal acceleration is given by the formula $a_c = \omega^2 r$,where $\omega$ is the angular velocity and $r$ is the radius of the circle. Thus,the $Reason$ is also correct and explains why the acceleration vector changes (as $\omega$ or the position changes).Therefore,both $Assertion$ and $Reason$ are correct,and the $Reason$ explains the $Assertion$.

$Assertion$ : When a particle moves in a circle with a uniform speed,its velocity and acceleration both change.
$Reason$ : The centripetal acceleration in circular motion is dependent on the angular velocity of the body.

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$Assertion$ : When a particle moves in a circle with a uniform speed,its velocity and acceleration both change.$Reason$ : The centripetal acceleration in circular motion is dependent on the angular velocity of the body.