A body of mass 10kg, is moving with a velocity of 5m/s in a circle of radius 5m, what is the centripetal acceleration of the body?
Correct answer: A. 5m/s2
- A. 5m/s2
- B. 25m/s2
- C. 0.5m/s2
- D. 50m/s2
Explanation
To find the centripetal acceleration of the body moving in a circle, we can use the formula:Centripetal acceleration (ac) = (velocity squared) / radiusGiven:Mass of the body (m) = 10 kgVelocity of the body (v) = 5 m/sRadius of the circle (r) = 5 mFirst, let's calculate the centripetal acceleration using the provided values:Centripetal acceleration (ac) = (5 m/s)2 / 5 mac = 25 m²/s² / 5 mac = 5 m/s²The centripetal acceleration of the body is 5 m/s².
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About Angular and Linear Quantities
Rotational motion relates angular displacement, angular velocity and angular acceleration to linear displacement, tangential velocity and tangential acceleration through the radius. Questions use radians, v equals r omega and tangential acceleration, while distinguishing tangential velocity from centripetal acceleration and angular quantities from their linear counterparts.
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