Acceleration of an Object Moving in Circular Path

[Robeurer]

TL;DR

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
$f = \dfrac{mv^2}{r}$

 

[A.T.]

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.

 

[jbriggs444]

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.

 

[Robeurer]

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?

 

[A.T.]

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.

 

[A.T.]

Under what constraints? Is there a time limit?

I also don't understand the part about distance before slip.

 

[Lnewqban]

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?