Efficiency, power, irradiance and speed problem

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Discussion Overview

The discussion revolves around a problem related to efficiency, power, irradiance, and speed, specifically in the context of a solar collector's performance and its implications for a vehicle's speed. Participants explore the relationship between power output from the solar panel and the speed of a car, considering efficiency and power requirements.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Conceptual clarification

Main Points Raised

  • One participant notes uncertainty about which equations to use for a problem involving irradiance.
  • Another participant proposes a scenario where a 1 m² solar collector with 30% efficiency receives 1000 W/m², suggesting that it produces 300 W or 0.3 kW of power.
  • A subsequent participant questions how to relate the power output to the speed of a vehicle.
  • Another participant introduces a hypothetical situation where it takes 200,000 W to achieve a certain speed, asking how much faster the vehicle could go if the power is increased to 200,300 W.
  • One participant agrees that the speed increase will not exceed certain percentages but seeks a method to determine an exact answer.
  • Another participant suggests using the relationships W=Fd and P=F*v, assuming force remains relatively constant.

Areas of Agreement / Disagreement

Participants express varying degrees of uncertainty regarding the equations and methods to solve the problem. There is no consensus on how to derive an exact answer for the speed increase based on the power output.

Contextual Notes

Participants have not established specific assumptions or definitions regarding the relationships between power, efficiency, and speed, leaving some mathematical steps unresolved.

TyErd
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Homework Statement


I've attached the question


Homework Equations


The problem is I don't know what equation(s) I have to use.


The Attempt at a Solution


This question my part of my thermofluid dynamics course but I cannot find a formula in my textbook that uses an irradiance (1000W/m^2) term.
 

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Think about this problem. You have a 1 m2 solar collector. It is 30% efficient. If 1000 W/m2 is falling on a 1 m2 that is 30% efficient how much power is the solar panel producing(in KW)? Compare with the power of the car.
 
so that means 300W or 0.3kW of power is being produced.
0.3/200=0.0015
how do i relate this to speed
 
If it takes 200,000W to go at speed X how much faster is it likely to go if the power available is increased to 200,300W ? Hint: it's a multiple choice question and its not going to go >50% faster :-).
 
yes its fair enough that it won't go 50% faster or 10% or even 4%, but how would I go about getting an exact answer?
 
How about W=Fd, P = F*v, assume F doesn't change (much)
 
Last edited:

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