Calculating Friction Force for Car in Circular Motion

In summary, the conversation discusses the movement of a 1000kg car on an inclined plane with a banked curve of radius 65m at an angle of 14 degrees. The participants discuss the forces acting on the car, including centripetal force, normal force, gravity, and friction. They also share a link and a free body diagram to help with understanding the concept. The conversation ends with a question about the correctness of the calculations.
  • #1
gillgill
128
0
A 1000kg car rounds a curve of radius 65m banked at an angle of 14 degrees. If the car is traveling at 90km/h, will a friction force be required? If so, how much and in what direction?

can anybody show me the steps?
thx very much...
 
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  • #2
Well basically you are considering the movement of an object on an inclined plane. On the object you will have the centripetal force, the normal force, gravity and some friction...

try using this link : https://www.physicsforums.com/showthread.php?t=51034
Basically all is in there, you just need to apply it to this particular situation.

regards
marlon
 
  • #4
65 cos 14˚ + f sin 14˚ = mg
⇒ 65 cos 14˚ + f sin 14˚ = (1000)(9.8)
65 sin 14˚ - f cos 14˚ = m(v^2)/r
⇒ 65 sin 14˚ - f cos 14˚ = (1000)[(90 x 1000/3600)^2]/65
is this correct??
 

1. How do you calculate the friction force for a car in circular motion?

The friction force for a car in circular motion can be calculated using the formula: F = μ * m * v^2 / r, where F is the friction force, μ is the coefficient of friction, m is the mass of the car, v is the velocity of the car, and r is the radius of the circular path.

2. What is the coefficient of friction and how does it affect the calculation of friction force?

The coefficient of friction is a measure of the amount of friction between two surfaces in contact. It is represented by the symbol μ and can range from 0 to 1. A higher coefficient of friction means there is more resistance to motion, resulting in a higher friction force in the calculation.

3. Can the friction force for a car in circular motion be greater than the weight of the car?

Yes, the friction force for a car in circular motion can be greater than the weight of the car. This can happen if the car is traveling at a high velocity or if the coefficient of friction between the tires and the road surface is high.

4. How does the radius of the circular path affect the friction force for a car?

The friction force for a car in circular motion is directly proportional to the radius of the circular path. This means that as the radius increases, the friction force also increases. This is because a larger radius means the car has to travel a longer distance, resulting in more friction between the tires and the road surface.

5. Are there any other factors that can affect the calculation of friction force for a car in circular motion?

Yes, there are other factors that can affect the calculation of friction force for a car in circular motion. These include the surface conditions, such as wet or icy roads, and the type of tires on the car. The weight distribution of the car and the speed at which it is traveling can also impact the friction force calculation.

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