Assertion : When a particle moves in a circle with a uniform speed, its velocity and acceleration bo

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3-2.Motion in Plane

easy

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

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

BIf both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.

CIf the Assertion is correct but Reason is incorrect.

DIf both the Assertion and Reason are incorrect.

(AIIMS-2010)

Solution

In uniform circular motion, the magnitude of velocity and acceleration remains same, but due to change in direction of motion, the direction of velocity and acceleration changes. Also the centripetal acceleration is given by $a = w^2r.$

Standard 11

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Solution

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