How many crates can you load in a minute with different average power outputs?

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SUMMARY

The discussion focuses on calculating the number of 30-kg crates that can be loaded onto a truck in one minute based on different average power outputs. For an average power output of 0.50 hp (373 watts), the calculation reveals that approximately 84.5 crates can be loaded in one minute. For an average power output of 100 watts, the result is approximately 22.6 crates per minute. The calculations utilize the work-energy principle, specifically the formula Work = mgh and the conversion of horsepower to watts.

PREREQUISITES
  • Understanding of basic physics concepts, specifically work and power.
  • Familiarity with the formula Work = mgh for calculating gravitational potential energy.
  • Knowledge of power conversion, particularly between horsepower and watts.
  • Basic arithmetic skills for performing unit conversions and calculations.
NEXT STEPS
  • Study the principles of work and energy in physics.
  • Learn about power calculations in mechanical systems.
  • Explore the relationship between force, mass, and acceleration.
  • Investigate real-world applications of power output in lifting mechanisms.
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Students studying physics, educators teaching mechanics, and anyone interested in understanding power calculations in practical scenarios.

grooveactiva
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Homework Statement


This is an actual practice problem. I am having trouble understanding the calculations to get to the answer. Your job is to lift 30-kg crates a vertical distance of 0.90 m from the ground onto the bed of a truck.
a) How many crates would you have to load onto the truck in 1 minute for the average power output you use to lift the crates to equal 0.50 hp?
b) How many crates for an average power output of 100 W?

Homework Equations


Work = mgh.
Power Pav = ΔW/Δt
1 hp = 746 watts

The Attempt at a Solution

(part a)[/B]
Maybe I am reading the problem wrong.
0.50 hp = 746 watts/2 = 373 watts.
Work to lift one crate = W = mgh = (30 kg)(9.81 m/s2)(0.9 m) ~ 265 Joules = 265 watts seconds. So, work in one minute = 60 seconds is (373 W * 60 seconds/minute)/(265 watts seconds per crate) = 84.5 crates in one minute.

Does this make sense as far as calculations are concerned?

4. The attempt at a solution (part b)
For 100W of average power output, (100 watts * 60 s)/(265 watts s per crate) = 22.6 crates in one minute.
 
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grooveactiva said:
Does this make sense as far as calculations are concerned?
Yes :smile:
Pretty powerful, them horses, eh ?
 

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