math formula wrong integration
Question:
`the formula im trying to integrate. https://prnt.sc/OMvgREyExFjd
in the task if y = 1.4 and f = 0.5 then the answer is appx 0.28991
but i get 0.608….
where did i make it wrong i rewrote code 3 times and every single time i got different answer.
import math
y = 1.4
f = 0.5
a = (1-((1+(2*y)/(y-1)-(f**2)-(math.sqrt((1+((2*y)/(y-1))-(f**2))**2-(4*(f**2)*((2*y)/(y-1)-1)))))/(2*(f**2)*(((2*y)/(y-1))-1))))**(y/(y-1))
print(a)
Answers:
Following the picture you provided, your formula IS well implemented, in the sense that it gives the answer P(phi=0.5, 1.4) = 0.608236. (I coded it up in Python and Mathematica to test it).
What is that you are trying to accomplish here? Perhaps your text formula is wrong in the first place? Without much background, I can tell that your formula is something like
P = Pt(1 – x)^(g/(g-1))
where x is one of the roots of a 2nd order polynomial. Is this a thermodynamic/efficiency problem? Perhaps you need to revisit how you obtained P. Looks like an adiabatic process may not have been correctly integrated…
`the formula im trying to integrate. https://prnt.sc/OMvgREyExFjd
in the task if y = 1.4 and f = 0.5 then the answer is appx 0.28991
but i get 0.608….
where did i make it wrong i rewrote code 3 times and every single time i got different answer.
import math
y = 1.4
f = 0.5
a = (1-((1+(2*y)/(y-1)-(f**2)-(math.sqrt((1+((2*y)/(y-1))-(f**2))**2-(4*(f**2)*((2*y)/(y-1)-1)))))/(2*(f**2)*(((2*y)/(y-1))-1))))**(y/(y-1))
print(a)
Following the picture you provided, your formula IS well implemented, in the sense that it gives the answer P(phi=0.5, 1.4) = 0.608236. (I coded it up in Python and Mathematica to test it).
What is that you are trying to accomplish here? Perhaps your text formula is wrong in the first place? Without much background, I can tell that your formula is something like
P = Pt(1 – x)^(g/(g-1))
where x is one of the roots of a 2nd order polynomial. Is this a thermodynamic/efficiency problem? Perhaps you need to revisit how you obtained P. Looks like an adiabatic process may not have been correctly integrated…