Calculating the power required to move a load up a gradiant

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SUMMARY

The discussion focuses on calculating the power required for a cart-type machine to move a 40 kg load up a 14-degree incline at speeds between 1-4 MPH. The relevant equation identified is P = M x G x SIN(Angle) x V, where P represents power, M is mass, G is gravity, and V is velocity. The calculated power requirement is approximately 169 watts, which is equivalent to a quarter horsepower. To account for motor inefficiencies, a motor rated at half a horsepower is recommended.

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  • Understanding of basic physics concepts such as force, mass, and gravity.
  • Familiarity with trigonometric functions, specifically sine for angle calculations.
  • Knowledge of power calculations in mechanical systems.
  • Basic understanding of motor efficiency and horsepower ratings.
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  • Research the impact of incline angles on power requirements in mechanical systems.
  • Learn about motor efficiency ratings and how they affect power calculations.
  • Explore advanced equations for dynamic loads and varying speeds.
  • Investigate different types of motors suitable for incline applications.
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Engineers, mechanical designers, and anyone involved in the design of systems requiring load movement on inclines will benefit from this discussion.

Aquadust
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HI

Any help with this problem would be much appreciated.

I am designing a system in which a cart type machine needs to be able to carry a load up a hill with almost no help from the person pushing, My question is how do I calculate how much power is needed by the motor to move the load.

I know:
Total Load = 40KG
Maximum Incline = 14Degrees
The speed it will travel between is 1-4 MPH


I believe the relevant equations are P=MxGxSIN(Angle)xV
Also I am not sure but J=FxD

D=Distance
F=Force
J=Joules
M=Mass
G=Gravity
V=Velocity
P=Power

I believe its 40x9.81xSin14x1.78m/s = 169w

I just want to make sure this equation is right and if not what equation I need to use. it would be handy to have an equation as the variables are constantly changing.

Many thanks in advance for your help.
 
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Looks OK to me, at 4 mph max speed. 169 w is about a quarter horsepower. Due to inefficiencies in the motor, I'd opt for a half a horse motor.
 

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