Estimating Energy Generated by Niagara Falls

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SUMMARY

The discussion focuses on estimating the energy generated by water falling over Niagara Falls over a period of five days. The height of the falls is 150 meters, and the water flow rate is 104 cubic meters per second. Using the equation for power (P=W/t) and the gravitational potential energy formula (mgh), participants calculated the mass flow rate by converting the water flow into mass using the density of water, approximately 1000 kg/m³. The final power output was derived by substituting the mass into the power equation over the specified time period.

PREREQUISITES
  • Understanding of gravitational potential energy (mgh)
  • Knowledge of power calculation (P=W/t)
  • Familiarity with fluid density concepts (density of water)
  • Basic algebra for unit conversions and calculations
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Homework Statement


Estimate E generated by water falling over Niagara falls in 5 day.
Height = 150m
Water flow =104m3/sec
t=5x24x60x60=4320000sec


Homework Equations


P=W/t
mgh=mv2/2


The Attempt at a Solution


Work=mgh=m(9.8)(150)
Time=432000seconds
P=m(1470)/4320000

I just don't know how to convert 104m3/sec into a mass
 
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The density of water is ~1000kgm^{-3}.

You can use this to work out the mass flowing per second.
 
Alright niceee thanks for the help :)
 
No problemo :)
 

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