Speed & Distance to rotate 360 degrees

[Crashman]

I have a two part problem to figure out regarding a vehicle loosing control without any outside force except driver input in which it rotates 360 degrees in one direction on a .7f coefficient of friction curved narrow exit ramp. What speed and over what linear distance would be required to achiev this?

Second, what would be required in order to stop the rotation in one direction and begin to rotate 360 degrees in the opposite direction, again with any outside force except for driver input and what distance would that take?

I don't believe that a 360 degree rotation can be accomplished at normal highway speeds without some sort of an impacting force from another vehicle on a .7f roadway. This could probably be accomplished on ice (.01f) rather easily. I believe that the vehicle will begin to yaw and complete only a partial rotation prior to it running off of the road. I also believe that once rotating in one direction the vehicle could not be made to rotate in the opposite direction simply by driver input. Am I right? Why?

Roland

 

[Nate810]

's answer is correct - a 360 degree rotation cannot be achieved at normal highway speeds without some sort of an impacting force from another vehicle on a .7f roadway. The amount of friction present on the curved narrow exit ramp is not sufficient for a vehicle to rotate that far in one direction without outside influence. In order to stop the rotation in one direction and begin to rotate 360 degrees in the opposite direction, a significant amount of lateral force would need to be applied by the driver. This could be done by making a rapid steering input, which would cause the vehicle to lose traction on the side with the most friction and begin to rotate in the opposite direction. The exact distance required to complete the rotation would depend on the speed of the vehicle and the amount of lateral force applied by the driver.

 

[ogb p]

,

I would approach this problem by first considering the laws of physics and the factors that affect rotational motion. The speed and distance required for a vehicle to rotate 360 degrees on a curved exit ramp would depend on several factors, including the coefficient of friction, the vehicle's mass and velocity, and the curvature of the ramp.

To determine the required speed and distance, we can use the equation for rotational motion, which states that the angular acceleration (α) is equal to the ratio of the net torque (τ) to the moment of inertia (I). In this case, the net torque would be provided by the driver's input, and the moment of inertia would depend on the vehicle's mass and how it is distributed. The coefficient of friction would also play a role in determining the net torque required to rotate the vehicle.

To answer the first part of the problem, we would need to know the exact shape and curvature of the exit ramp, as well as the mass and distribution of mass of the vehicle. We could then use equations for rotational motion to calculate the required speed and distance for the vehicle to rotate 360 degrees in one direction.

For the second part of the problem, we would need to consider the effects of inertia and the direction of the net torque. Inertia is the tendency of an object to resist changes in its state of motion, and it would play a role in determining whether the vehicle could be made to rotate in the opposite direction by driver input alone. If the vehicle is already rotating in one direction, the net torque required to make it rotate in the opposite direction would need to overcome its inertia. In addition, the direction of the net torque would also be important. If the net torque is applied in a direction opposite to the vehicle's current rotation, it could potentially slow down or stop the rotation, but it may not be enough to make the vehicle rotate in the opposite direction.

In conclusion, the speed and distance required for a vehicle to rotate 360 degrees on a curved exit ramp would depend on several factors, and it is possible that it may not be achievable without an external force. The ability to rotate in the opposite direction would also depend on the vehicle's inertia and the direction of the net torque applied. Further analysis and calculations would be needed to determine the exact speed, distance, and conditions required for such a rotation to occur.