Question #28387

differentiate between centripetal acceleration and angular accelleration

Expert's answer

QUESTION:

Differentiate between centripetal acceleration and angular accelleration

ANSWER:

As velocity is a vector quantity, it can change either in magnitude or direction. In order to change a velocity vector acceleration must be applied. Hence, we can decompose the acceleration vector into two components: the tangential component ata_t is due to the change in the magnitude of the velocity of traversal, and points in the direction of the velocity vector (or in the opposite direction). The centripetal component aca_c is due to the change in direction of the velocity vector and is normal to the trajectory, pointing toward the center of curvature of the path.

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