Solving a Manometer Equation: Ryan Needs Help

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In summary, after drawing a diagram and calculating previous parts of the problem, the equation 8405.208-133416(z-0.063)=9810z was obtained to find Z. The rearranged equation is 8405.208 +(133416*0.063) = (9810 + 133416)*z, and when solved, Z is equal to 11mm.
  • #1
Muller
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Homework Statement



Okay so we have a question about manometers. After drawing the diagram and managing to calculate all of the previous bits of the question i narrowed it down to this equation.

8405.208-133416(z-0.063)=9810z

where i need to find Z. I was just wondering if someone could help me rearange to just find z which should be 68mm or 0.063m

Many thanks in advance
Ryan
 
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  • #2
Welcome to PF!

Muller said:
8405.208-133416(z-0.063)=9810z

where i need to find Z. I was just wondering if someone could help me rearange to just find z which should be 68mm or 0.063m

Hi Ryan! Welcome to PF! :smile:

Hint: expand 133416(z-0.063), and then move all the z over to the right-hand side. :smile:
 
  • #3
Just expand the brackets and re-arrange... i typed it in, got 11mm but i might have put it in wrong give it a go...

8405.208-133416(z-0.063)=9810*z
8405.208 -133416*z +(133416*0.063) = 9810*z
8405.208 +(133416*0.063) = 9810*z + 133416*z
8405.208 +(133416*0.063) = (9810 + 133416)*z

solve for Z
 

What is a manometer equation?

A manometer equation is a mathematical formula used to calculate the pressure of a liquid or gas in a closed system. It takes into account factors such as the height of the liquid column, the density of the liquid, and the acceleration due to gravity.

Why is Ryan asking for help with a manometer equation?

Ryan may be struggling with understanding the concept of a manometer equation or may have encountered a specific problem that he needs assistance with. It is common for students and scientists to seek help when faced with challenging equations.

What information is needed to solve a manometer equation?

To solve a manometer equation, you will need to know the height of the liquid column, the density of the liquid, and the acceleration due to gravity. Additional information such as the atmospheric pressure or the specific gas being used may also be required.

What are some common mistakes when solving a manometer equation?

Some common mistakes when solving a manometer equation include using the wrong units for the given values, not accounting for the atmospheric pressure, and not considering the density of the liquid. It is important to carefully read the problem and double-check all calculations to avoid errors.

How can I improve my understanding of manometer equations?

To improve your understanding of manometer equations, you can practice solving various problems and seek help from a teacher or tutor if needed. It may also be helpful to review the basic principles of pressure and fluid mechanics before attempting more complex manometer equations.

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