The centripetal acceleration and tangential are always ........ to each other
Question
The centripetal acceleration and tangential are always ........ to each other
Solution
The centripetal acceleration and tangential acceleration are always perpendicular to each other.
Here's why:
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Centripetal acceleration is the rate of change of tangential velocity and always points towards the center of the circle. It is responsible for changing the direction of the velocity vector.
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Tangential acceleration is the rate of change of the speed along the path and is always tangent to the path of motion. It is responsible for changing the magnitude of the velocity vector.
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Since one is directed towards the center of the circle and the other is directed along the tangent at any point on the path, they are always at right angles to each other. Hence, they are perpendicular.
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