- #1
umeks17
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Homework Statement
a highway curve has a radius of 122m. At what angle should the road be banked so that a car travellin at 26.8m/s (60mph) has no tendency to skid sideways on the road? (frictional force is zero)
Circular Motion: Solving for Banked Angle on a 122m Highway Curve
- Thread starter umeks17
- Start date
In summary, the conversation discusses a homework question about determining the angle at which a highway curve should be banked in order for a car traveling at a certain speed to not skid sideways. The proposed solution involves drawing a force diagram and finding the angle at which the normal reaction, centrifugal force, and car weight are balanced. The person asking for help is able to understand the approach and thanks the expert for their assistance.
a highway curve has a radius of 122m. At what angle should the road be banked so that a car travellin at 26.8m/s (60mph) has no tendency to skid sideways on the road? (frictional force is zero)
- #2
BerryBoy
- 176
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Did you have a go at it?
Sam
Sam
- #3
umeks17
- 4
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no...can you help me to solve that question..
argh...my head wants to explode...
argh...my head wants to explode...
- #4
BerryBoy
- 176
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To start of you want to draw the setup as a force diagram at an arbitrary angle (called [itex]\theta[/itex] say), with:
- The normal reaction
- The centrifugal force from acceleration in a circle
- The Weight of the car
You need to find the angle at which all these forces are balanced. Does this help?
Sam
- The normal reaction
- The centrifugal force from acceleration in a circle
- The Weight of the car
You need to find the angle at which all these forces are balanced. Does this help?
Sam
- #5
umeks17
- 4
- 0
i will try it tonight
- #6
umeks17
- 4
- 0
thanks a lot...a got it..:) huh
What is unbanked circular motion?
Unbanked circular motion refers to the motion of an object in a circular path without being supported by any external force or inclined surface. This means that the object is moving in a horizontal circle without any banking or tilting of the surface it is moving on.
What are some examples of unbanked circular motion?
Some examples of unbanked circular motion include a car making a turn on a flat road, a coin being spun on a table, and a satellite orbiting around the Earth.
What are the factors that affect unbanked circular motion?
The factors that affect unbanked circular motion include the speed of the object, the radius of the circular path, and the mass of the object. These factors determine the centripetal force needed to keep the object moving in a circular path.
What is the difference between unbanked circular motion and banked circular motion?
The main difference between unbanked circular motion and banked circular motion is the presence of an external force. In unbanked circular motion, there is no external force supporting the object's circular path, while in banked circular motion, the surface is inclined, providing an external force to support the object's motion.
How is unbanked circular motion relevant in real-life applications?
Unbanked circular motion is relevant in many real-life applications, such as amusement park rides, car racing, and satellite orbiting. Understanding the principles of unbanked circular motion is crucial in designing and analyzing these systems to ensure safety and efficiency.
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