Uniform Circular Motion with friction

AI Thread Summary
To determine the maximum safe speed of a car driving around a curve with a radius of 125m and a frictional coefficient of 0.58, the centripetal force must be equated to the frictional force. The correct approach involves recognizing that the frictional force provides the necessary centripetal force to keep the car in circular motion. The gravitational force acts downward and does not contribute to the centripetal acceleration. Simplifying the equations leads to the conclusion that the mass cancels out, allowing for a straightforward calculation of speed. Properly setting up the equations is crucial for finding the maximum safe speed without overcomplicating the problem.
serrino
Messages
1
Reaction score
0
A car drives around a horizontal curve with a frictional coefficient of 0.58. What is the maximum safe speed for the carif the radius of the turn is 125m?

r= 125m
uk= 0.58
v=?

ok I set up the problem as
Fc=Ff-Fg

m (v2/r)=ukFn-(m)(g)

so the masses would cancel, but I'm stuck and nopt sure if I set it up right.

If you anyone could give me a little help it would be appreciated.
 
Physics news on Phys.org
You are making the equation too complex. Think about what force(s) are keeping the car in the circle and write another equation.
 
serrino said:
ok I set up the problem as
Fc=Ff-Fg
The force of gravity acts downward, not centripetally.
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

A Car on a Banked Curve Moving in Uniform Circular Motion
Replies
7
Views
3K
What is the meaning of work done for non-uniform circular motion?
Replies
11
Views
2K
Circular motion grade 12 physics
Replies
4
Views
2K
Is Vertical Circular Motion Ever Uniform?
Replies
10
Views
3K
Uniform Circular Motion Problem
Replies
1
Views
1K
Circular Motion -- Swinging keys on a string in a vertical circle
Replies
6
Views
4K
A cyclist riding on a closed path....
Replies
2
Views
1K
Car that undergoes non-uniform circular motion
Replies
1
Views
1K
Circular motion of a rotational spring
Replies
12
Views
3K
Uniform Circular Motion Inside a Sphere of Charge
Replies
7
Views
3K

Hot Threads

Recent Insights

Back
Top