Solving a Manometer Equation: Ryan Needs Help

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SUMMARY

The discussion focuses on solving the manometer equation 8405.208 - 133416(z - 0.063) = 9810z to find the value of z. The correct approach involves expanding the equation and rearranging terms to isolate z. The final solution for z is confirmed to be 0.068m or 68mm. Participants provided step-by-step guidance on how to manipulate the equation effectively.

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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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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:
 
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
 

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