Max Speed for Car on Concrete Curve of Radius 80.0m, 19.0^\circ Angle

  • Thread starter Thread starter calvinth
  • Start date Start date
  • Tags Tags
    Turning
AI Thread Summary
To determine the maximum speed of a 1900 kg car on a banked curve with a radius of 80.0 m and a 19.0° angle, the correct approach involves using the formula for centripetal force and the effects of friction. The initial attempts using v = sqrt(rg*tan(theta)) and v(max) = sqrt(rg*u) were incorrect. Key considerations include the balance of forces acting on the car, including gravitational force, normal force, and friction. A free body diagram is essential to visualize these forces and derive the correct formula. Clarification on the approach and proper application of physics principles is needed to solve the problem accurately.
calvinth
Messages
3
Reaction score
0

Homework Statement



A concrete highway curve of radius 80.0 m is banked at a 19.0^\circ angle.

What is the maximum speed with which a 1900 kg rubber-tired car can take this curve without sliding? (Take the static coefficient of friction of rubber on concrete to be 1.0.)

The Attempt at a Solution



I used the equation v = sq rt (rg*tan(theta)) but that didn't work, so I used
v(max) = sq. rt. (rg*u(coeff. static friction)) and got 28.8 m/s2, but that didn't work either.

If anyone can tell me what I'm missing or went wrong, I'd greatly appreciate it.
 
Physics news on Phys.org
If you are trying to use some formula directly, it is the wrong formula.
If you have drawn free body diagram and then tried to get the formula, you have missed something. Show your attempt.
 
I'm not really sure how I should approach the problem. Can you tell me how I can start?
 

Thread 'Rolling without slipping on a curved surface'

Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
View full post »

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 »

Similar threads

Max Speed for Car on Banked Curve of Radius 80m, 19^\circ Angle
Replies
1
Views
5K
Maximum Speed on a Banked Curve with Friction
Replies
19
Views
3K
Banked Road Physics Problem: Maximum Speed Calculation
Replies
5
Views
3K
Max Speed of Car on Wet Ramp Turn at 20° Bank
Replies
3
Views
2K
Critical speed of a banked curve (with friction.)
Replies
6
Views
10K
Circular Motion of a Cyclist and a Car going around a bend in the road
Replies
6
Views
4K
Cars rounding a slippery banked corner in the rain
Replies
20
Views
3K
Ideal speed given radius and angle
Replies
4
Views
3K
Banked Curve-Determine smallest static coefficient of friction
Replies
9
Views
4K
Friction problem with banked curve given static friction coefficient
Replies
3
Views
12K

Hot Threads

Recent Insights

Back
Top