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

AI Thread Summary
To lift a 300 kg piano to a height of 10 meters with a crane providing 400 watts of power, the calculation involves determining work as mass times gravity times height. The formula used is time equals work divided by power, leading to a calculated time of 73.5 seconds. However, this estimate is considered an underestimate due to factors such as friction and the efficiency of the lifting mechanism not being accounted for. It's important to check significant digits in the calculation for accuracy. Overall, while the method is correct, real-world conditions may increase the actual lifting time.
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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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