How Much Does the Water Level Rise with a Submerged Object?

AI Thread Summary
The discussion revolves around calculating the water level rise in a tank when a submerged object is introduced. An object weighing 30kg in air weighs 16kg in water, leading to a calculated weight difference of 14kg. Participants clarify that the correct approach involves using the weight of the displaced water rather than mass, emphasizing the importance of units in calculations. The density of water is noted as 1000 kg/m^3, and the correct formula for calculating the height of water displaced is discussed. Ultimately, the confusion stems from mislabeling mass as weight and improper unit application in the calculations.
jayjay112
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An object weighs 30kg in air it is lowered into a square tank (1m x 1m)
the weight of the object in the water is 16kg. how much does the water level in the tank raise?


Heres my attempt.
30-16 = 14kg

14kg = 14 m^3

1 x 1 x h = 14

h = 14 metres.

Is this correct it doesn't seem right for some reason??

Thank you for your time
 
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Way too much. What is water density?
 
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1000 kg/m^3 = rho

so W/1000 x 9.81 = h?

=14000/9810 = 1.43m?

Thanks for the help
 
Worst approach you can take it to calculate first, apply units later. That's what you are doing and your answer is all the time wrong.
 
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I don't understand? do you mean my formula is correct but my units are wrong?

14/98100= 1.43 x 10^-3?
 
What is what of what?

Numbers you present - as long as they don't have any units - don't make any sense.
 
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14kg / (1000kg/m^3 x 9.81m/s)= 1.43 x 10^-3 m
 
I guess the text of the problem creates some confusion. They call the 30 kg "weight" but it's the mass actually.
What is the weight of the water displaced? Not the mass.
 
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