How much power is needed to haul a weight up an incline at a certain speed

In summary, the conversation discusses the calculation of power needed to pull a 250lb load up a 45 degree incline at 5 mph. The speaker mentions the need to overcome gravity, air resistance, rolling friction, and axle friction, and provides a formula for calculating the force of gravity on the incline. They also mention the possibility of the calculation being part of a school project and ask for the speaker's own attempt at solving it before providing further help.
  • #1
gmatt244
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Power needed to pull weight up an incline
Good afternoon everyone, I need help with a certain calculation. How much power is needed to pull a 250lb load up a 45 degree incline at 5 mph. I am working on a project at school and would like to know what kind of motor we can use. Thank you very much!
 
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  • #2
You have to overcome gravity and air resistance and rolling friction and axle friction.
Ignoring the last three for now, and just looking at gravity, it produces a force down the incline of
m(g sin theta) = (250/32)(32)(.707) or about 175 pounds. But before we talk about power, we need to know if doing the power calculation yourself is part of your assignment, because we don’t give homework help without your first showing an attempt. I already gave you a hint.
 
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1. How is power defined in this scenario?

In this scenario, power is defined as the rate at which work is done or energy is transferred. It is measured in watts (W) or horsepower (hp) and is equal to the force applied multiplied by the velocity at which the weight is being hauled.

2. What factors determine the amount of power needed to haul a weight up an incline?

The amount of power needed to haul a weight up an incline depends on the weight of the object, the angle of the incline, and the speed at which the weight is being hauled. Additionally, factors such as friction, air resistance, and the efficiency of the hauling mechanism can also affect the power required.

3. How can the amount of power needed to haul a weight up an incline be calculated?

The power needed to haul a weight up an incline can be calculated using the formula P = F * v, where P is power, F is the force applied, and v is the velocity at which the weight is being hauled. The force can be calculated using the weight of the object and the angle of the incline, while the velocity can be measured or estimated based on the speed at which the weight is being hauled.

4. Does the weight of the object affect the amount of power needed to haul it up an incline?

Yes, the weight of the object does affect the amount of power needed to haul it up an incline. The heavier the object, the more force is required to move it, and therefore, more power is needed to haul it up an incline at a certain speed.

5. How does the angle of the incline impact the amount of power needed to haul a weight?

The angle of the incline plays a significant role in determining the amount of power needed to haul a weight. The steeper the incline, the more force is required to move the weight, and thus, more power is needed. This is because the weight has to be lifted against gravity, and the steeper the incline, the greater the force of gravity acting against it.

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