Can a Car Safely Turn on a 40-Degree Banked Road at 30 m/s?

  • Thread starter Thread starter dk2421
  • Start date Start date
  • Tags Tags
    Car Turning
AI Thread Summary
A car can safely navigate a banked road at a 40-degree angle while traveling at 30 m/s if the friction coefficient is 0.6 and the turn radius is 100 m. To analyze this, one must draw a force diagram that includes gravitational forces and the components of centripetal acceleration. The forces acting on the car can be resolved into components along the incline and perpendicular to it. If the combined downward force from gravity and friction is adequate to counteract the centripetal force required for the turn, the car will not slip. Proper calculations are essential to confirm the safety of the turn under these conditions.
dk2421
Messages
1
Reaction score
0

Homework Statement



Will a road banked at 40 degrees allow cars (u=0.6) to safely make a turn (radius=100m) while traveling at 30 m/s (or 67 mi/hr)?

Homework Equations



f = uN
possibly others

The Attempt at a Solution



I'm really not sure how to get started. This is the only problem I don't know how to do. I would really appreciate any help. Thank you.
 
Last edited:
Physics news on Phys.org
Welcome to PF.

Draw a force diagram on the car.

Gravity is vertically down, so the components of weight can be resolved as vectors along the incline and normal to the incline.

The centripetal acceleration is acting horizontally. Its components can also be resolved along the plane of the incline and normal to it.

If the downward force of gravity and the additional maximum contribution from the friction component is sufficient to prevent the car from slipping then ...
 

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 '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

Banked Road Physics Problem: Maximum Speed Calculation
Replies
5
Views
2K
Banked Turn: Navigating Car Dynamics on Curves
Replies
12
Views
3K
Max Speed of Car on Wet Ramp Turn at 20° Bank
Replies
3
Views
2K
Cars rounding a slippery banked corner in the rain
Replies
20
Views
3K
Car on the banked turn with friction
Replies
3
Views
4K
Finding forces on a car rounding a curve
Replies
2
Views
2K
Car on banked turn, with reversed banking angle
Replies
6
Views
4K
What Is the Correct Banking Angle for a Road Curve with No Friction?
Replies
1
Views
3K
Car Crash Analysis: Analyzing Friction & Speed
Replies
9
Views
4K
Inclined plane in a circular motion
Replies
17
Views
3K

Hot Threads

Recent Insights

Back
Top