How to Calculate the Coefficient of Friction on a 20 Degree Incline?

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To calculate the coefficient of friction on a 20-degree incline, first determine the car's acceleration and the necessary force to achieve that acceleration. The acceleration is calculated as 4.62 m/s² based on a 0-60 mph time of 5.8 seconds, resulting in a force of 646.49 N. The coefficient of friction (Cf) is derived from the relationship between the force of friction and the normal force, which changes on an incline due to the angle affecting the gravitational component. The normal force on an incline requires trigonometric considerations, as it is not simply the weight of the car but adjusted for the incline's angle. Understanding these principles allows for accurate calculations of the minimum coefficient of friction required to move the car on the incline.
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Homework Statement



Pick a car, find its acceleration. calculate the force necessary to move the car with this acceleration and the minimum coefficient of friction to accomplish this. repeat the calculation of the coefficient of friction on a 20 degree incline.

Homework Equations



How do i calculate the coefficient of friction? on a 20 degree incline as well?

The Attempt at a Solution


0-60= 5.8s
weight=1392.7kg

acceleration= change in velocity/ change in time
acceleration= 26.82m/s / 5.8s = 4.62 m/s2

weight= massx acceleration of gravity
1392.7= m(9.81 m/s2)
mass= 141.97

force= mass x acceleration
F= 141.97x 4.62 m/s2
F= 646.49 N

How do i find coefficient of friction and the coefficient of friction on a 20 degree incline?
force= mass x acceleration
 
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Since you have the amount of force on the plane, you can take that and set it equal to the force of friction.

646.49 = m* g * Cf (Coefficient of Friction, since keyboards don't have mew), divide the mass and g off and you have the coefficient of friction
 
Hi emonroe14, welcome to PF.
Post the complete text of the problem.
 
Friction is always parallel to a surface and is figured by the component of force normal to the surface.

The CF is a ratio between the normal force and the force of friction it generates. It varies with surfaces (including the tires).

On a flat surface the normal force is typically the mass times the acceleration of gravity. But when the surface is tilted, the force of gravity is still straight down, while the force causing the friction is perpendicular to the surface. (Think of using some trig here.)

The friction force must be greater than the force of acceleration, so that sets the lower limit.
 

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