Solving Your Crate Loading Problem - Get the Right Answer!

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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 to achieve an average power output of 0.50 hp, which equals 373 W. The user applied the formula P_av = (delta W)/(delta t) to find the total work done in one minute, resulting in 22,380 J. The work required to lift a single crate was calculated using the formula mgh, yielding 264.6 J per crate. The final calculation indicates that 85 crates can be lifted in one minute, confirming the accuracy of the answer.

PREREQUISITES
  • Understanding of basic physics concepts such as power, work, and energy.
  • Familiarity with the equations for calculating power (P = W/t) and gravitational potential energy (W = mgh).
  • Knowledge of unit conversions, specifically between horsepower and watts.
  • Basic arithmetic skills for performing calculations involving division and multiplication.
NEXT STEPS
  • Review the principles of power and work in physics to solidify understanding.
  • Explore unit conversion techniques between different power measurements, such as watts and horsepower.
  • Investigate real-world applications of power calculations in logistics and material handling.
  • Learn about the implications of load capacity and efficiency in warehouse operations.
USEFUL FOR

This discussion is beneficial for physics students, logistics professionals, and anyone involved in material handling and warehouse operations who seeks to understand power calculations and their practical applications.

iwonde
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Your job is to lift 30-kg crates a vertical distance of 0.90 m from the ground onto the bed of a truck. How many crates would you have to load onto the truck in one minute for the average power output you use to lift the crates to equal 0.50 hp?

The equation that I used is: P_av = (delta W)/ (delta t)
Since 1hp = 746W --> 0.50hp = 373 W
delta W = (P_av)(delta t) = 373 W x 60 s = 22380 J
Work required to lift one crate = mgh = 30kg x 9.8 m/s^2 x 0.9m = 264.6J
Number of crates = 22380J / 264.6 J = 85

85 is not the correct answer. What did I do wrong?
Thanks.
 
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I get 84.58, which rounds to 85, same as you.

What makes you think this answer is wrong?
 

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