Does acceleration change in non-uniform circular motion?

In summary, when an object is increasing speed at a constant rate around a circle, the magnitude of acceleration changes due to the presence of both tangential and centripetal components. The formula for centripetal acceleration includes speed, while the formula for tangential acceleration does not. The shape of the path is determined by the strength of the centripetal force, which can increase to accommodate the change in speed. The resultant acceleration is a combination of both tangential and centripetal acceleration."
  • #1
jasmaar
2
0

Homework Statement


If an object is increasing speed at a constant rate around a circle, does the magnitude of acceleration change since there are both the tangential acceleration component (whose magnitude is constant) and the centripetal component (which changes in magnitude as the object increases in speed)?
 
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  • #2
You could check whether speed appears in the formula for centripetal acceleration and in the formula for tangential acceleration, and consider how centripetal and tangential acceleration combine to make up the total acceleration.
 
  • #3
The shape of the path depends on the strength of the centripetal force. a = v^2/r still holds for circular paths, even if there is a tangential acceleration. What happens is that the centripetal force accommodates the change. When driving a car and accelerating a curve, its because the static friction (centripetal force) is able to to increase to accommodate the increasing speed...although at some point it may not be able to handle it any further and you slide off.
 
  • #4
Write the relation for resultant acceleration.
 

1. What is non-uniform circular motion?

Non-uniform circular motion is a type of motion in which an object moves along a circular path at varying speeds. This means that the object is not moving at a constant speed around the circle, but rather its velocity changes as it moves along the path.

2. How is non-uniform circular motion different from uniform circular motion?

In uniform circular motion, the object moves at a constant speed around the circle, meaning its velocity remains constant. Non-uniform circular motion, on the other hand, involves a changing velocity and thus a changing speed as the object moves along the circular path.

3. What is the acceleration in non-uniform circular motion?

The acceleration in non-uniform circular motion is the change in velocity over time. Since the velocity is constantly changing in this type of motion, the acceleration is not constant, and its direction is always tangent to the circular path.

4. What causes non-uniform circular motion?

Non-uniform circular motion can be caused by a variety of factors, including an unbalanced force acting on the object, changes in the direction of the velocity, or changes in the radius of the circular path.

5. How is non-uniform circular motion related to centripetal force?

Centripetal force is the force that keeps an object moving in a circular path. In non-uniform circular motion, this force is also constantly changing, as it is always directed towards the center of the circle and its magnitude is dependent on the object's velocity and mass.

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