What Is the Required Coefficient of Static Friction for a Car on a Banked Curve?

AI Thread Summary
To determine the required coefficient of static friction for a car on a banked curve, one must consider the banking angle and the forces acting on the car. The problem involves calculating the maximum speed for a car on an 80m radius curve, initially designed for 70km/hr, and assessing the friction needed to prevent skidding at 90km/hr. Participants suggest deriving expressions for the banking angle and the maximum speed to understand the relationship between speed, angle, and friction. Drawing free body diagrams is recommended to visualize the forces and their directions in this scenario. Understanding these concepts is essential for solving the problem effectively.
cdawg201
Messages
1
Reaction score
0
I am new to the forum and was hoping if someone could explain to me how to do this problem, give me some formulas, or even possibly give me an answer. :) It is from my Giancoli Fifth Edition High School Physics book.

If a curve with a radius of 80m is perfectly banked for a car traveling 70km/hr, what must be the coefficient of static friction for the car not to skid when traveling 90km/hr?

Any/all help is greatly appreciated.
 
Physics news on Phys.org
Welcome to pf cdawg201!

Consider an inclined section of a road with banking angle \alpha. Can you find an expression for the maximum speed that the car can have so that it moves in a circle of fixed radius without slipping and relate it to the angle of banking? Next, if the actual speed is different from this "correct" speed, then what are possible directions of frictional force? Will it aid motion down the incline or oppose it? Draw freebody diagrams to convince yourself.

Hope that helps...

Cheers
Vivek
 
How about just doing it the hard way eh ?
Try deriving an expression for the angle of banking. while doing so try to take your problem into it. Btw I'm new too...
 
pseudoNewtonian said:
How about just doing it the hard way eh ?
Try deriving an expression for the angle of banking. while doing so try to take your problem into it. Btw I'm new too...

Hello pseudoNewtonian (welcome to PF)

When I said "find" I meant derive. You're not supposed to know all the formulae by heart (thought it helps sometimes to know the value of pi correct to 30 decimal places...esp in a party or something :smile:)

Enjoy physics...

Cheers
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

What is the Needed Coefficient of Static Friction for a Car on a Banked Curve?
Replies
16
Views
2K
A Car on a Banked Curve Moving in Uniform Circular Motion
Replies
7
Views
3K
Banked Curve-Determine smallest static coefficient of friction
Replies
9
Views
4K
Banked roads -- circular motion and gravitation
Replies
11
Views
2K
Banked Road Physics Problem: Maximum Speed Calculation
Replies
5
Views
2K
Static friction on banked curve
Replies
4
Views
3K
Centripetal Force Banked Curves
Replies
12
Views
2K
Finding static friction from circular motion
Replies
6
Views
3K
Banked Circular Motion with Static Friction
Replies
1
Views
2K
Circular Motion of a car around a curve
Replies
30
Views
5K

Hot Threads

Recent Insights

Back
Top