Energy/power A levels physics

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SUMMARY

The discussion focuses on calculating power and efficiency in the context of A-level physics, specifically regarding wind energy. The relevant formula for efficiency is given as p(out) / p(in) x 100 percent. The correct approach involves using the formula for power, P = F x v, but the user struggles with missing values for force (F) and velocity (v). The correct method involves understanding that power can also be derived from wind energy using the formula 1/2 m v^2, where mass (m) is derived from the area and wind speed.

PREREQUISITES
  • Understanding of basic physics concepts such as power, force, and velocity.
  • Familiarity with the formula for efficiency in energy calculations.
  • Knowledge of wind energy principles and how to calculate it.
  • Ability to manipulate equations to derive missing variables.
NEXT STEPS
  • Study the derivation of wind power equations, focusing on 1/2 m v^2.
  • Learn how to calculate mass from wind density and area.
  • Explore the concept of efficiency in energy systems and its calculations.
  • Review the relationship between force, velocity, and power in physics.
USEFUL FOR

Students studying A-level physics, educators teaching energy concepts, and anyone interested in understanding wind energy calculations and efficiency metrics.

yan_plusheartz
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Relevant formula
: p(out) / p (in) x 100 percent = efficiency
My question
ImageUploadedByPhysics Forums1392289217.339333.jpg


My approach
ImageUploadedByPhysics Forums1392289268.189639.jpg


But the right answer is 650kW
 
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You use P = F x v but you write ##\rho## x Area x v3. Is that the same ?
 
Yeah I understand that it is not exactly the same. But my problem is , I don't have the value for F and v . And the only formula I know for power is force x velocity. So I did it by using the values given to derive a unit which is the same as power. But I can't seem to get the right answer. and I'm not sure whether my approach is correct or not. Can you teach me the correct method?

anyhow, thank you for taking your time to try to solve my question:)
 
Yes I can. You know that power is energy / time ?
How much energy does the wind bring in /time ?
 
If that case, the wind energy is 1/2 m (10)*2 am I right? Problem is , I don't have the value of mass and time :(
 
That is correct. And they give you the area and the wind speed.
 

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