Car going up a hill. Find the Angle of the hill.

In summary: Going up, the engine produces 44 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? Going up a hill, the car's engine produces 44 hp more power to sustain the constant velocity than it does going down the same hill. The angle at which the hill is inclined above the horizontal is 45 degrees.
  • #36
Right. How do you now bring in the 44 hp?
 
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  • #37
Set the equations equal to each other and add 44 to the "up hill" side
 
  • #38
Do you want to add it to the "up hill" side or the "down hill" side? Also, is hp the SI unit for power?
 
  • #39
o right becasue going uphill is 44 more hp you would add it to the downhill side. and no 1hp=745watt
 
  • #40
Right. (1 hp = 746 W the last I checked, but who's counting?) [OK, just checked, it's 745.699872 W for 1 "mechanical hp" and exactly 746 W for "electrical hp". Trivia for the day.]

http://en.wikipedia.org/wiki/Horsepower
 
Last edited:
  • #41
So just checking my equation:

v(f+mgSinθ)=v(f-mgSinθ) + 32810.8w

Now I can just plug and chug.
 
  • #42
Yep. Good work!
 
  • #43
I got a domain error... [never mind calculator error]
 
  • #44
What?
 
  • #45
I just put my nunmbers in my calculator wrong. No big deal thanks again.
 
  • #46
ok. No problem.
 
<h2>1. What is the angle of the hill?</h2><p>The angle of the hill is the angle between the ground and the slope of the hill that the car is traveling on.</p><h2>2. How do you find the angle of the hill?</h2><p>The angle of the hill can be found by using the trigonometric function tangent (tan). This can be calculated by dividing the height of the hill by the length of the base of the hill.</p><h2>3. What are the units for measuring the angle of the hill?</h2><p>The angle of the hill is typically measured in degrees (°) or radians (rad).</p><h2>4. Can the angle of the hill affect the speed of the car?</h2><p>Yes, the angle of the hill can affect the speed of the car. If the angle is steeper, the car will have to work harder to overcome the force of gravity, resulting in a slower speed. On the other hand, if the angle is more gradual, the car will have an easier time traveling up the hill and may reach a higher speed.</p><h2>5. How does the angle of the hill impact the car's fuel efficiency?</h2><p>The angle of the hill can impact the car's fuel efficiency. If the hill is steep, the car will use more fuel to maintain its speed and overcome the force of gravity. This can lead to decreased fuel efficiency. On the other hand, if the hill is more gradual, the car will use less fuel and may have better fuel efficiency.</p>

1. What is the angle of the hill?

The angle of the hill is the angle between the ground and the slope of the hill that the car is traveling on.

2. How do you find the angle of the hill?

The angle of the hill can be found by using the trigonometric function tangent (tan). This can be calculated by dividing the height of the hill by the length of the base of the hill.

3. What are the units for measuring the angle of the hill?

The angle of the hill is typically measured in degrees (°) or radians (rad).

4. Can the angle of the hill affect the speed of the car?

Yes, the angle of the hill can affect the speed of the car. If the angle is steeper, the car will have to work harder to overcome the force of gravity, resulting in a slower speed. On the other hand, if the angle is more gradual, the car will have an easier time traveling up the hill and may reach a higher speed.

5. How does the angle of the hill impact the car's fuel efficiency?

The angle of the hill can impact the car's fuel efficiency. If the hill is steep, the car will use more fuel to maintain its speed and overcome the force of gravity. This can lead to decreased fuel efficiency. On the other hand, if the hill is more gradual, the car will use less fuel and may have better fuel efficiency.

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