What Speed Causes Weightlessness on a Circular Hill?

Click For Summary
SUMMARY

The maximum speed at which a car can maintain "Uniform Circular Motion" at the top of a circular hill with a radius of 25 meters is critical for understanding weightlessness. When a driver reaches this speed, the normal force exerted by the road on the car becomes zero, leading to a moment of weightlessness. For an 1800 kg car traveling at 8.0 m/s, the normal force is present, but exceeding the calculated speed results in the absence of this force. The discussion confirms that exceeding this speed indicates the transition from normal circular motion to a state of weightlessness.

PREREQUISITES
  • Understanding of "Uniform Circular Motion"
  • Knowledge of gravitational force and normal force concepts
  • Familiarity with basic physics equations related to circular motion
  • Ability to perform calculations involving mass, radius, and speed
NEXT STEPS
  • Calculate the maximum speed for "Uniform Circular Motion" using centripetal force equations
  • Explore the relationship between radius and speed in circular motion scenarios
  • Investigate the effects of mass on normal force and weightlessness
  • Learn about real-world applications of circular motion in automotive engineering
USEFUL FOR

Physics students, automotive engineers, and anyone interested in the dynamics of circular motion and its implications on vehicle performance.

Unix
Messages
6
Reaction score
0
Max. speed you can drive on a circular hill an still be in "Uniform Circular Motion"

Homework Statement



The top of a hill is in the shape of a circle of radius 25 meters.

Homework Equations



a) What is the normal force that the road exerts on an 1800kg car as it tops the hill with a speed of 8.0 m/s?

b) At what speed would the driver experience a moment of weightlessness as they top the hill?


The Attempt at a Solution



My question isn't about performing calculations, I just wanted to make sure I am understanding the concept.

In part b, if the driver is experiencing weightlessness, is it correct to say that the car has exceeded the maximum speed that you can have on the hill and still be in "Uniform Circular Motion"? If that's the case then there is no normal force on the car at that point?
 
Physics news on Phys.org


Unix said:
In part b, if the driver is experiencing weightlessness, is it correct to say that the car has exceeded the maximum speed that you can have on the hill and still be in "Uniform Circular Motion"? If that's the case then there is no normal force on the car at that point?

Yes that is correct. During normal circular motion, the normal force would be the force that the driver experiences, so if he is weightless then the normal force is zero.
 


Unix said:

Homework Statement



The top of a hill is in the shape of a circle of radius 25 meters.

Homework Equations



a) What is the normal force that the road exerts on an 1800kg car as it tops the hill with a speed of 8.0 m/s?

b) At what speed would the driver experience a moment of weightlessness as they top the hill?

The Attempt at a Solution



My question isn't about performing calculations, I just wanted to make sure I am understanding the concept.

In part b, if the driver is experiencing weightlessness, is it correct to say that the car has exceeded the maximum speed that you can have on the hill and still be in "Uniform Circular Motion"? If that's the case then there is no normal force on the car at that point?

DOn't forget that when you have calculated a speed for part (b), you answer is likely to be "At least a speed of ... "
 

Similar threads

Acceleration in uniform circular motion is uniform or non-uniform?
  • · Replies 55 ·
2
Replies
55
Views
3K
A Car on a Banked Curve Moving in Uniform Circular Motion
  • · Replies 7 ·
Replies
7
Views
3K
Is Vertical Circular Motion Ever Uniform?
  • · Replies 10 ·
Replies
10
Views
3K
Circular Motion. Roller-coaster mass of car and max speed
  • · Replies 7 ·
Replies
7
Views
6K
What is the meaning of work done for non-uniform circular motion?
  • · Replies 11 ·
Replies
11
Views
3K
Question Regarding Circular Motion and Normal Forces
  • · Replies 2 ·
Replies
2
Views
3K
Circular motion comparisons question
  • · Replies 1 ·
Replies
1
Views
2K
Circular motion: Car driving along a circular hill
  • · Replies 2 ·
Replies
2
Views
6K
Uniform Circular Motion Problem
  • · Replies 1 ·
Replies
1
Views
2K
Circular motion/ speed increases at a constant rate
  • · Replies 7 ·
Replies
7
Views
2K