Calculating Power of Waterfall: PE, Work, & Electricity

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SUMMARY

The discussion focuses on calculating the potential energy (PE) and power generated by a waterfall that is 30 meters high with a flow rate of 10,000 kg of water per second. The potential energy is calculated using the formula PE = mgh, resulting in 2.94E6 joules. The power delivered by the water, assuming all potential energy is converted to work, is calculated to be 980 MJ. The conversation also addresses the conversion of this power into electricity, indicating that the energy can light approximately 29,400 100-watt light bulbs.

PREREQUISITES
  • Understanding of gravitational potential energy (PE = mgh)
  • Basic knowledge of force and work calculations (F = mA, W = Fd)
  • Familiarity with power calculations and units (watts, joules)
  • Concept of energy conversion in electrical systems
NEXT STEPS
  • Research the principles of energy conversion efficiency in hydroelectric systems
  • Learn about the physics of fluid dynamics and its impact on energy generation
  • Explore the calculations for different heights and flow rates in hydroelectric power generation
  • Investigate the design and operation of hydroelectric power plants
USEFUL FOR

Students in physics, engineers in renewable energy, and anyone interested in the principles of hydroelectric power generation.

cowgiljl
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a waterfall is 30 m high and 10000 kg of water flow over it every second
A) calculate the potential energy
PE = mgh
got 2.94E6 joules

B) calculate the power delevered by the water of all the potential energy is converted to work

F = mA
F= 10000 * 9.80
f = 98000

w = Fm
w 98000 * 10000
w = 980 MJ mega joules

C)If all the power were converted to electricity, how many 100watt light bulbs could be lit

not even sure on how to approach this
[?]
 
Physics news on Phys.org
B is WRONG Look at the physicsl dimensions when u multiply force by mass is it Energy
 
Look the energy mgh which u calulated is per second
which is power itself

with this energy u can lit mgh/100 bulbs

hope u will get now
 

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