A car coasting with rolling drag and air drag

In summary, the conversation involves solving for distance and time under a given drag equation with initial velocity and constant length. The solution is complicated by the presence of both linear and non-linear parts in the equation. However, the calculations may be simplified.
  • #1
seanwfd
1
0

Homework Statement


Drag=m(Mu*g+(V^2)/L)
L=constant with unit of length
initialV=V_0
how far the car will coast under this condition with initial V
how long does it take to stop

Homework Equations


a=V*dv/dt


The Attempt at a Solution


there are linear and non-linear parts in this drag
I tried to solve them separately but I can only find v'=e^-(V_0*x*L)
 
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  • #2
welcome to pf!

hi seanwfd! welcome to pf! :smile:

(have a a mu: µ and try using the X2 and X2 icons just above the Reply box :wink:)

that doesn't look right … what happened to the µ ? :redface:

show us your full calculations, and then we'll see what went wrong, and we'll know how to help! :smile:
 

1. What is rolling drag and air drag?

Rolling drag is the resistance that occurs when a car's wheels are in contact with the road. This can be caused by factors such as friction between the tires and the road surface. Air drag is the resistance that occurs when a car moves through the air, caused by the air pushing against the car's body.

2. How do rolling drag and air drag affect a car's coasting?

Rolling drag and air drag both act as opposing forces to a car's motion, slowing it down as it coasts. The amount of drag depends on factors such as the speed of the car, the surface of the road, and the shape of the car's body.

3. Can rolling drag and air drag be reduced?

Yes, there are ways to reduce both rolling drag and air drag. Rolling drag can be reduced by using tires with less rolling resistance and keeping them properly inflated. Air drag can be decreased by designing cars with sleek and aerodynamic shapes, and by using materials that reduce air resistance.

4. How does the weight of a car affect rolling drag and air drag?

A heavier car will experience more rolling drag due to the increased force needed to overcome friction between the tires and the road. However, a heavier car may also be more stable and have less air drag due to its weight pressing down on the tires, making it less affected by air resistance.

5. Are there any benefits to rolling drag and air drag?

While these forces can slow down a car's coasting, they also help to improve control and stability. Rolling drag can provide better traction and handling, while air drag can provide downforce to keep a car grounded at high speeds. Additionally, these forces can help to slow down a car in a controlled manner, making it easier to come to a stop.

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