- #1
shanewatson
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where is the direction of tangential acceleration? Does tangential acceleration depend on direction of tangential velocity or not?
Tangential acceleration refers to the rate of change of tangential velocity, which is the component of velocity that is perpendicular to the radius of a circular motion. In simpler terms, it is the acceleration that causes an object to move in a circular path.
Tangential acceleration can be calculated using the formula a = v^2/r, where "a" is the tangential acceleration, "v" is the tangential velocity, and "r" is the radius of the circular motion. Alternatively, it can also be calculated by taking the second derivative of the position equation with respect to time.
While tangential acceleration is the acceleration that causes an object to move in a circular path, centripetal acceleration is the acceleration that is directed towards the center of the circular motion. In other words, tangential acceleration is a component of centripetal acceleration that is perpendicular to the radius of the circle.
Tangential acceleration can either increase or decrease an object's speed, depending on its direction. If tangential acceleration is in the same direction as the tangential velocity, it will cause the object to speed up. Conversely, if they are in opposite directions, the object will slow down.
Yes, tangential acceleration can be negative. This means that the object is slowing down or changing direction, as the acceleration is in the opposite direction of the tangential velocity. However, the magnitude of the acceleration will still be positive, as it is calculated using the square of the tangential velocity.