Calculating Time to Lift 300kg Piano 10 Meters with 400 Watts Power

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SUMMARY

The discussion centers on calculating the time required to lift a 300 kg piano to a height of 10 meters using a crane that provides 400 watts of power. The formula used is time = work/power, where work is calculated as mass multiplied by gravity and height. The calculation yields a time of 73.5 seconds. However, participants note that this estimate is an underestimate due to factors such as acceleration and potential inefficiencies in the lifting process.

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  • Understanding of basic physics concepts, specifically work and power
  • Familiarity with the formula for calculating work (Work = mass x gravity x height)
  • Knowledge of significant figures in scientific calculations
  • Basic grasp of crane operation and lifting mechanics
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I have a 300 kg piano being lifted at a steady speed from the ground to a hieght of 10 meters and the crane that is doing the lifting is providing 400 watts of power. How much time does it take to get the piano to the top.
So far I have Power = work/Time
so time is Work/ power , so, work is equal to mass X gravity X hieght
so I have (300)(9.8)(10)/(400) = 73.5 sec...is this correct...any help would be nice. Thanks
 
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For the information you have, it looks fine, although you'll want to check the significant digits.

It is, of course, an underestimate - do you see why?
 

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