Determining Future Position of Uniform Circular Motion

In summary, the conversation discusses how to find the position of an object undergoing uniform circular motion at a different starting position. The formula for finding the position is manipulated by finding a new variable, t0, which will shift the graph along the x-axis. This will result in a different final position after a certain time has passed. The conversation also touches on the idea that the initial position is arbitrary and can be changed to affect the final position.
  • #36
Thank you Arjan. I have done some pretty extensive testing today, checking for continuity as Y flips sign and also that small and large variations in the start point propagate to the future point. The updated function has yet to make a mistake so I'm happy to report that the solution works.

It took a while but got there in the end! Thank you again for all of your help
 
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<h2> What is uniform circular motion?</h2><p>Uniform circular motion is the motion of an object along a circular path at a constant speed. This means that the object moves at the same speed and direction throughout the entire circular path.</p><h2> How do you determine the future position of an object in uniform circular motion?</h2><p>To determine the future position of an object in uniform circular motion, you need to know the object's initial position, speed, and the time elapsed. You can use the formula r = r<sub>0</sub> + vt, where r is the future position, r<sub>0</sub> is the initial position, v is the speed, and t is the time elapsed.</p><h2> Can an object in uniform circular motion change its speed?</h2><p>No, an object in uniform circular motion cannot change its speed. This is because the speed is constant and the direction of motion is always changing, keeping the object on a circular path.</p><h2> How does centripetal force affect an object in uniform circular motion?</h2><p>Centripetal force is the force that keeps an object moving in a circular path. In uniform circular motion, the centripetal force acts towards the center of the circle and is responsible for changing the direction of motion of the object.</p><h2> What is the difference between uniform circular motion and non-uniform circular motion?</h2><p>The main difference between uniform circular motion and non-uniform circular motion is that in uniform circular motion, the speed of the object remains constant, while in non-uniform circular motion, the speed changes at different points along the circular path. This can be due to changes in the magnitude or direction of the velocity.</p>

FAQ: Determining Future Position of Uniform Circular Motion

What is uniform circular motion?

Uniform circular motion is the motion of an object along a circular path at a constant speed. This means that the object moves at the same speed and direction throughout the entire circular path.

How do you determine the future position of an object in uniform circular motion?

To determine the future position of an object in uniform circular motion, you need to know the object's initial position, speed, and the time elapsed. You can use the formula r = r0 + vt, where r is the future position, r0 is the initial position, v is the speed, and t is the time elapsed.

Can an object in uniform circular motion change its speed?

No, an object in uniform circular motion cannot change its speed. This is because the speed is constant and the direction of motion is always changing, keeping the object on a circular path.

How does centripetal force affect an object in uniform circular motion?

Centripetal force is the force that keeps an object moving in a circular path. In uniform circular motion, the centripetal force acts towards the center of the circle and is responsible for changing the direction of motion of the object.

What is the difference between uniform circular motion and non-uniform circular motion?

The main difference between uniform circular motion and non-uniform circular motion is that in uniform circular motion, the speed of the object remains constant, while in non-uniform circular motion, the speed changes at different points along the circular path. This can be due to changes in the magnitude or direction of the velocity.

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