B Acceleration of an Object Moving in Circular Path

AI Thread Summary
In a circular motion scenario with an object on a rough surface, the maximum distance covered before slipping depends on both radial and tangential accelerations, necessitating the use of their resultant to calculate required friction. The discussion highlights the importance of understanding how friction contributes to both types of acceleration, particularly in the context of a car's movement. Constraints such as time limits and throttle control can influence the calculations and outcomes. Additionally, the conversation emphasizes the need to grasp basic principles of acceleration in straight-line motion before tackling circular paths. Understanding these dynamics is crucial for accurately determining the behavior of the object in motion.
Robeurer
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TL;DR Summary
What is the acceleration of an object moving in a circular path?
Let's say we have an object moving in a circular path with radius R and rough surface.
We want to know the maximum distance covered by the car before it slip.
Should we use the resultant of both the tangential acceleration and the radial acceleration or just one of them to put in the calculation?

the equation is
##f = \dfrac{mv^2}{r}##
 
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Robeurer said:
TL;DR Summary: What is the acceleration of an object moving in a circular path?

Let's say we have an object moving in a circular path with radius R and rough surface.
We want to know the maximum distance covered by the car before it slip.
Should we use the resultant of both the tangential acceleration and the radial acceleration or just one of them to put in the calculation?

If the force of friction provides radial and tangential acceleration (as it usually does for a car on a flat suface), then you have to use the resultant of both to determine the required friction.
 
Robeurer said:
Let's say we have an object moving in a circular path with radius R and rough surface.
We want to know the maximum distance covered by the car before it slip.
Under what constraints? Is there a time limit? Do we control the throttle setting?

Geometry dictates a maximum distance at a position halfway around the circle. If you can get there.
 
A.T. said:
If the force of friction provides radial and tangential acceleration (as it usually does for a car on a flat suface), then you have to use the resultant of both to determine the required friction.
I don't really understand how the friction provides tangential acceleration but, if it said that the object moving with tangential acceleration, is the object tangential acceleration is the same with the on you mentioned?
 
Robeurer said:
I don't really understand how the friction provides tangential acceleration
Then maybe you should try to understand how cars accelerate in a straight line, before going to circular paths.
 
jbriggs444 said:
Under what constraints? Is there a time limit?
I also don't understand the part about distance before slip.
 
Robeurer said:
I don't really understand how the friction provides tangential acceleration...
What makes the car increase its forward velocity (show tangential acceleration)?
Could it easily accelerate while spinning its driving wheels on slippery mud?
 
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