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

• grooveactiva
In summary, the conversation discusses a practice problem involving the lifting of 30-kg crates onto a truck bed. The question asks for the number of crates that can be loaded in 1 minute given a certain average power output, calculated using the equations for work and power. For an average power output of 0.50 hp, 84.5 crates can be loaded in 1 minute, while for an average power output of 100 W, 22.6 crates can be loaded in 1 minute. The calculations for both parts make sense and show the power of horses in terms of lifting crates.
grooveactiva

## 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.

grooveactiva said:
Does this make sense as far as calculations are concerned?
Yes
Pretty powerful, them horses, eh ?

## 1. How does average power output affect the number of crates loaded in a minute?

The higher the average power output, the more crates can be loaded in a minute. This is because a higher average power output means more energy is being exerted, allowing for faster and more efficient movements in loading the crates.

## 2. Is there an ideal average power output for loading crates?

There is no specific ideal average power output for loading crates, as it can vary depending on factors such as the weight of the crates, the distance they need to be moved, and the individual's strength and technique. However, a higher average power output can generally lead to a faster loading speed.

Different power outputs can significantly impact the loading process. A higher power output can result in a faster loading speed, but it may also lead to fatigue and decreased accuracy. On the other hand, a lower power output may result in a slower loading speed, but it can also allow for more controlled and precise movements.

## 4. Are there any techniques to maximize the number of crates loaded in a minute?

Yes, there are various techniques that can help maximize the number of crates loaded in a minute. These include proper body mechanics, utilizing momentum, and using efficient lifting and carrying techniques. Training and practice can also help improve loading speed and efficiency.

## 5. Can average power output be increased through training and practice?

Absolutely. Average power output can be improved through specific training and practice techniques. This can include strength and endurance training, as well as practicing proper techniques for lifting and carrying crates. With consistent training, an individual can increase their average power output and improve their loading speed and efficiency.

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