cancel
Showing results for 
Search instead for 
Did you mean: 
cancel
Showing results for 
Search instead for 
Did you mean: 

Question with rewriting or solving of isolating a variable on left side of equation.

SOLVED
Highlighted
Visitor

Question with rewriting or solving of isolating a variable on left side of equation.

Capture.PNG

 

How can one re-write the equation with only theta on the left. I need to calculate theta when Q is known.

Will this be possible? Q is a ratio variable that rages between 0 and 1 and will be known from previous calculations. I know when Q=0.5 the Theta = PI and when Q=1 then Theta = 2*PI

1 ACCEPTED SOLUTION

Accepted Solutions

Re: Question with rewriting or solving of isolating a variable on left side of equation.

Normally you should attach a worksheet with your problem...

LM_20191203_Isolation.png

Prime 4 sheet attached.

 

Success!
Luc

View solution in original post

7 REPLIES 7

Re: Question with rewriting or solving of isolating a variable on left side of equation.

Normally you should attach a worksheet with your problem...

LM_20191203_Isolation.png

Prime 4 sheet attached.

 

Success!
Luc

View solution in original post

Re: Question with rewriting or solving of isolating a variable on left side of equation.

Thank you for your response Luc.

 

I have been trying to solve it symbolically, so that one can get an answer without computational input.

 

Can you please just indicate why it cant be solved symbolically? (If Q is known)

 

 

Re: Question with rewriting or solving of isolating a variable on left side of equation.

 

The answer is one or two or three values depend on Q.

 

 

 

Re: Question with rewriting or solving of isolating a variable on left side of equation.


@ttokoro wrote:

 

The answer is one or two or three values depend on Q.

 

 

 


No, as it was stated, that Q is only in the range from 0 to 1!

Re: Question with rewriting or solving of isolating a variable on left side of equation.


@Jan3 wrote:

Thank you for your response Luc.

 

I have been trying to solve it symbolically, so that one can get an answer without computational input.

 

Can you please just indicate why it cant be solved symbolically? (If Q is known)

 

 


Thats a mathematical limitation. An equation like yours can't be solve for theta analytically. You have to resort to numerical methods.

Re: Question with rewriting or solving of isolating a variable on left side of equation.

Q=1.pngQ=1

Re: Question with rewriting or solving of isolating a variable on left side of equation.

OK, to make it unique we have to limit Q in (0, 1] and theta in (0, 2pi)

Q=0 could only be achieved as limit q-> 0

theta=0 has to be excluded as it means a divison by  zero and

theta=2 pi is excluded as otherwise theta(1) would have two solutions.

 

Werner_E_0-1575488453740.png

 

Announcements