Max Velocity for a Car over a Speed Bump in Uniform Circular Motion

AI Thread Summary
The discussion focuses on determining the maximum speed a car can maintain while passing over a speed bump without losing contact with the road. The key point is that sufficient force is needed to provide the necessary centripetal acceleration at the highest point of the bump. The only downward force acting on the car is gravity, which must be greater than the required centripetal force for the car to stay in contact with the road. The participant concludes that by calculating the maximum velocity where gravitational force exceeds centripetal acceleration, they can solve the problem. This understanding is crucial for modeling particles in uniform circular motion effectively.
astrokat11
Messages
7
Reaction score
0
I'm doing problems modeling particles in uniform circular motion and one is about a car going over a speed bump. I figured out the problem, but then it asks "What is the max speed the car can have as it passes this highest point without losing contact with the road?" I'm not sure what this part of the question is asking. Can anyone rephrase it for me or lead me in the right direction? I don't think it's a friction thing since it's not sliding, would this be over coming the maximum radial force?
Thank you
 
Physics news on Phys.org
In order to maintain contact with the road as the car goes over the bump there must be enough force to provide the needed centripetal acceleration. The faster you go, the greater the centripetal acceleration and thus the greater force required. What forces act on the car as it goes over the bump? What's the maximum net downward force on the car?
 
Ah, well the only downward force is gravity, so I just need to find the max velocity while mg is greater than the centripetal accel. I think I can figure that out then. Thanks
 

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

Acceleration in uniform circular motion is uniform or non-uniform?
2
Replies
55
Views
3K
A Car on a Banked Curve Moving in Uniform Circular Motion
Replies
7
Views
3K
What actually is the centripetal acceleration formula?
Replies
28
Views
3K
Difference between radial and centripetal acceleration?
Replies
9
Views
8K
What is the apparent weight of a woman riding over a hump in a car?
Replies
6
Views
3K
Car that undergoes non-uniform circular motion
Replies
1
Views
1K
Is Vertical Circular Motion Ever Uniform?
Replies
10
Views
3K
Acceleration in non-uniform circular motion
Replies
1
Views
2K
Circular Motion of a Cyclist and a Car going around a bend in the road
Replies
6
Views
4K
Circular motion/ speed increases at a constant rate
Replies
7
Views
2K

Hot Threads

Recent Insights

Back
Top