One of the conditions for Uniform Circular Motion is that the acceleration be centripetal and directed toward the center of motion. What would the effect be of a non-zero acceleration parallel to the tangential velocity?
Ac = v^2/r
v increases
but there is no radial force
so
v^2/r has to be the same
so
r has to increase.
If there is a non-zero acceleration parallel to the tangential velocity in uniform circular motion, it would cause the object to deviate from its circular path. The object would not move in a perfect circle but instead follow a curved trajectory.
This non-zero acceleration parallel to the tangential velocity is called tangential acceleration. It is responsible for changing the magnitude of the velocity of the object in uniform circular motion. In the absence of any other forces, the tangential acceleration would cause an increase or decrease in the speed of the object.
In this case, the object would no longer maintain a constant distance from the center of the circle, and its path would no longer be circular. Instead, the object would move along a curved path determined by the balance between the centripetal acceleration (directed toward the center of motion) and the tangential acceleration (parallel to the tangential velocity).
Overall, the effect of a non-zero acceleration parallel to the tangential velocity in uniform circular motion is that the object would not follow a perfect circular path, but rather a curved trajectory with changing speed.
If there is a non-zero acceleration parallel to the tangential velocity, it would indicate the presence of a tangential or tangential component of acceleration. This means that there is a change in the magnitude or direction of the particle's velocity.
The effect of such a tangential acceleration depends on its interaction with the centripetal acceleration, which is directed towards the center of motion. In uniform circular motion, the net acceleration is the vector sum of the centripetal and tangential accelerations.
If the tangential acceleration is larger than the centripetal acceleration, the particle's speed will increase. This results in the particle moving in an outward or "expanding" circular path. On the other hand, if the tangential acceleration is smaller than the centripetal acceleration, the particle's speed will decrease. In this case, the particle moves in an inward or "contracting" circular path.
In summary, any non-zero acceleration parallel to the tangential velocity affects the particle's speed, causing it to either increase or decrease depending on the relative magnitudes of the tangential and centripetal accelerations.