What Angle Is the Road Banked for a 1000kg Car on a 25m Radius Track at 30m/s?

  • Thread starter Thread starter superaznnerd
  • Start date Start date
  • Tags Tags
    Centripetal Hard
AI Thread Summary
To determine the banking angle of a road for a 1000kg car on a 25m radius track at 30m/s, the centripetal force must equal the component of the gravitational force acting towards the center of the curve. The normal force and gravitational force can be analyzed using a free body diagram, which allows for the application of trigonometry to find the angle θ. The centripetal force equation Fc = mv²/r is crucial for this calculation. The challenge lies in expressing the forces in terms of θ, as the angle is initially unknown. Ultimately, solving for θ will provide the necessary banking angle for the track.
superaznnerd
Messages
59
Reaction score
0

Homework Statement


a 1000kg car negotiates a banked friction free track or radius 25m with speed 30m/s

to what angle to the horizontal is the road banked?


Homework Equations





The Attempt at a Solution


tried to calculate the normal force of the car, to find the angle between the weight vector and the normal force vector, which would be equal to the angle that the road is banked.
However, I could not find the angle fo the normal force
 
Physics news on Phys.org
If the angle of baking is θ, what is the component of the weight that points towards the center of the path?
 
mgsin theta, you don't know theta though..
 
superaznnerd said:
mgsin theta, you don't know theta though..

A free body diagram will allow you to use trigonometry to find theta.
 
superaznnerd said:
mgsin theta, you don't know theta though..

if that force provides the centripetal force, you can find θ.

Fc=mv2/r remember?
 

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

Friction direction change in a inclined circular bend (car on a road)
Replies
11
Views
1K
Banked Road Physics Problem: Maximum Speed Calculation
Replies
5
Views
2K
Finding max velocity for a kart on a circular, banked track
Replies
2
Views
2K
Banked Turn: Navigating Car Dynamics on Curves
Replies
12
Views
3K
Circular Motion of a Cyclist and a Car going around a bend in the road
Replies
6
Views
4K
Finding the horizontal force that the road applies to the car
Replies
13
Views
2K
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
Centripetal Force Problem: Determine Vehicle Speed and Forces | 1988M1 Homework
Replies
4
Views
5K
A Car on a Banked Curve Moving in Uniform Circular Motion
Replies
7
Views
3K

Hot Threads

Recent Insights

Back
Top