How Do You Calculate Fuel Consumption Over Time in a Mathematical Model?

  • Thread starter steve 99
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In summary, the conversation discusses a question about the rate of fuel consumption in an engine at a certain time. The rate is given by the function R = 10 + [10/(2t+1)]. The conversation goes on to ask for a sketch of the function, the rate after 7 minutes, the limiting value as t approaches infinity, and the total consumption in the first 7 minutes. The conversation also includes a question about the function and its calculations.
  • #1
steve 99
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Homework Statement



I have this questions an answer to it would be great.
.Q.1 At t minutes after an engine starts, the rate of fuel consumption is Rkg per minute. it is given by R=10+ 10/2t+1.

a) Sketch R as a function of t

b) find the rate of consumption after 7 mins

c) find the limiting value of R as t becomes very large

d) calculate the total consumption in the 1st 7 mins

not sure how to do it
Thank You


Homework Equations





The Attempt at a Solution



I can do part 2
 
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  • #2
Is that rate supposed to be R = 10+ [10/(2t+1)] ? I think it would be for question (c) to have a sensible answer. The question is asking you what the limit of R is as t goes to infinity.

As for (d), you have a function giving you the *rate* of consumption with time. If you want to know how *much* fuel has been used in the time interval 0 <= t <= 7 minutes, what operation must you perform on the function R(t)?
 
  • #3
so wat is the function is that R(t)= 10+(10/2t+1)
 
  • #4
steve 99 said:
so wat is the function is that R(t)= 10+(10/2t+1)

Yes, that is the fuel consumption rate function.
 
  • #5
so i no the value will not go >10 or equal to 10 but I am not sure how to calculate that
 
  • #6
i no it wll approach but neva touch 10 if you graphed but as i said not sure on the calculations
 

FAQ: How Do You Calculate Fuel Consumption Over Time in a Mathematical Model?

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