Finding the angle of an inclined plane


by scimanyd
Tags: angle, inclined, plane
scimanyd
scimanyd is offline
#1
Nov21-05, 07:53 AM
P: 4
This should be an easy question, but I am having problems with my conflicting solutions. Maybe someone could help.

A 1900 kg car experiences a combined force of air resistance and friction that has the same magnitude whether the car goes up or down the hill at 27 m/s. Going up a hill, the car's engine needs to produce 47 hp more power to sustain the constant velocity than it does going down the same hill. At what angle is the hill inclined above the horizontal?

My approach:

First P=Fv .... so I sub in Force =Power/velocity
and then set up my force equations in the x direction which I set parallel to the inclined plane.

Assuming Power up = power down + 47hp(or 35060Watts)

UP: P/v - sinθmg - (friction+air resistance) = 0
DOWN: (P+47hp)/v + sinθmg - (friction+air resistance) = 0

I tried setting these two equations equal to each other and I come up with theta <1
I tried solving for P in one and then subbing into the other and solving for Theta and I get theta = about 2.
Still this seams unreasonably low, I wouldn't think that it would take 47hp more to go up a 2 incline
Phys.Org News Partner Science news on Phys.org
Internet co-creator Cerf debunks 'myth' that US runs it
Astronomical forensics uncover planetary disks in Hubble archive
Solar-powered two-seat Sunseeker airplane has progress report
NateTG
NateTG is offline
#2
Nov21-05, 09:47 AM
Sci Advisor
HW Helper
P: 2,538
Can you specify what the variable 'P' is supposed to represent? Also, are you sure that the first term in both of your expressions makes sense?
scimanyd
scimanyd is offline
#3
Nov21-05, 10:05 AM
P: 4
Yes, P stands for power
I substituted P/v in for my applied force, since power = Force*velocity
I should be allowed to make the sub.

the equations simplified: Force - weight(portion along x axis) - Friction = 0 ...... (constant velocity tells me that the equation is in equalibrium)

neo143
neo143 is offline
#4
Nov21-05, 11:04 AM
P: 29

Finding the angle of an inclined plane


In second equation instead of
P+47 you had to write P-47

enjoy


Register to reply

Related Discussions
Friction in an inclined right-angle trough Introductory Physics Homework 3
how to find angle between two inclined plane mirrors? Introductory Physics Homework 4
inclined plane Introductory Physics Homework 11
Finding the angle of release from a moving plane that drops an object X distance away Introductory Physics Homework 7
Inclined Plane Introductory Physics Homework 1