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

Jan3
3-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
LucMeekes
23-Emerald III
(To:Jan3)

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
LucMeekes
23-Emerald III
(To:Jan3)

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

LM_20191203_Isolation.png

Prime 4 sheet attached.

 

Success!
Luc

Jan3
3-Visitor
(To:LucMeekes)

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)

 

 

ttokoro
20-Turquoise
(To:Jan3)

 

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

 

 

 


@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!

ttokoro
20-Turquoise
(To:Werner_E)

Q=1Q=1

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

 

Werner_E
24-Ruby V
(To:Jan3)


@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.

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