Solving a Manometer Equation: Ryan Needs Help

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To solve the manometer equation 8405.208 - 133416(z - 0.063) = 9810z for z, first expand the equation and rearrange it. Moving all terms involving z to one side results in 8405.208 + (133416 * 0.063) = (9810 + 133416)z. After simplifying, solve for z to find the value, which should be approximately 0.068m or 68mm. This method ensures a clear path to isolating z and obtaining the correct solution. The discussion emphasizes the importance of proper equation manipulation in physics problems.
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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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