Drag Force and Power on an inclined plane

In summary, the question asks for the power required from a car's engine to drive at a constant speed of 23 m/s while subject to a drag force of 500N. For part a) on level ground, the power required is simply 500N multiplied by 23 m/s. For part b) on a hill with a slope of 2.0 0, the total drag force is 500N plus the component of the car's weight perpendicular to the slope, which is found using the given slope and the car's mass. The power required in this case is the total drag force multiplied by the speed. To find the value of sin(theta), use the equation tan(theta) = 2 and solve for theta
  • #1
kraaaaamos
20
0

Homework Statement



A 710 kg car drives at a constant speed of 23 m/s. It is subject to a drag force of 500N. What power is required from the car’s engine to drive the car
a. on a level ground?
b. up a hill with a slope of 2.0 0?


Homework Equations



P=Fv


The Attempt at a Solution



a) P = (500)(23)?

b) P = (500cos2)(23)?

I HAVE NO IDEA.
 
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  • #2
In the second part slope is given. Slope = tan(theta). From that find sin(theta). Now the total drag force during up hill drive = 500 + Mgsin(theta)
 
  • #3
so for b
its:


P = (500+ mgsin(theta))(v)
= [500 + (710)(9.8)(sin2) ](v)
= 17 085 W?
 
  • #4
P = (500+ mgsin(theta))(v)
= [500 + (710)(9.8)(sin2) ](v)
= 17 085 W?

Tan(theta) = 2. Using trigonometrical tables find theta and then find theta or if Tan(theta) = 2. the sin(theta) = (sqrt.5)/2 Use this and find the value.
 

1. What is drag force on an inclined plane?

Drag force on an inclined plane is the force that opposes the motion of an object as it moves along the surface of the plane. It is caused by the air resistance or friction between the object and the plane.

2. How is drag force calculated on an inclined plane?

Drag force on an inclined plane can be calculated using the equation Fd = 0.5 * ρ * v² * Cd * A, where ρ is the density of the fluid, v is the velocity of the object, Cd is the drag coefficient, and A is the cross-sectional area of the object.

3. What factors affect drag force on an inclined plane?

The factors that affect drag force on an inclined plane include the density of the fluid, velocity of the object, drag coefficient, and cross-sectional area of the object. Other factors such as surface roughness and temperature can also have an impact on drag force.

4. How does the angle of inclination affect drag force on an inclined plane?

The angle of inclination can affect drag force on an inclined plane by changing the effective cross-sectional area of the object. As the angle increases, the cross-sectional area exposed to the fluid also increases, resulting in an increase in drag force.

5. What is the relationship between drag force and power on an inclined plane?

The relationship between drag force and power on an inclined plane is that as drag force increases, the power required to overcome it also increases. This means that the steeper the inclined plane and the faster the object moves, the more power is needed to overcome the drag force.

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