Manometer -- determine height from relative pressure

In summary, a manometer is a device used to measure pressure and determine height by measuring the difference in pressure between two points. The type of fluid used in a manometer depends on the application and must be non-compressible and dense for accurate measurements. The accuracy of a manometer in determining height depends on various factors and can provide measurements within a few millimeters. However, it may not be suitable for use in all environments due to factors such as temperature and humidity. Safety precautions should be followed when handling a manometer as the fluid used can be toxic or hazardous.
  • #1
daphnelee-mh
66
4
Homework Statement
A Burdon gauge is mounted on the top of the vessel at point M . The relative pressure at M is -980Pa, determine h1 if H=1.5m, h2=0.2m
Relevant Equations
Pm=Pa- Pmabs
The correct answer is 5.6m, not sure where I made the mistake.
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  • #2
##P_{M gauge}=P_{atm}-P_{M abs}##?
Doesn't look right to me.
 
  • #3
I get ##P_{Mabs}=p_{atm}+P_M##
 

1. How does a manometer work?

A manometer is a device used to measure pressure, typically in a closed system. It works by balancing the pressure of a fluid in a U-shaped tube against the pressure of the fluid being measured. The difference in height of the fluid in the two arms of the U-tube can then be used to determine the relative pressure.

2. What is the formula for determining height from relative pressure using a manometer?

The formula for determining height from relative pressure using a manometer is h = P/ρg, where h is the height of the fluid in the manometer, P is the pressure being measured, ρ is the density of the fluid, and g is the acceleration due to gravity.

3. What are the different types of manometers?

There are several types of manometers, including U-tube manometers, inclined tube manometers, and well-type manometers. Each type has its own advantages and is used for different applications.

4. How accurate are manometers in determining height from relative pressure?

The accuracy of a manometer depends on several factors, such as the precision of the fluid used, the design of the manometer, and the skill of the operator. In general, manometers are considered to be a relatively accurate method for measuring pressure.

5. What are some common uses for manometers?

Manometers are commonly used in various industries, such as HVAC, automotive, and aerospace, to measure pressure in different systems. They are also used in laboratory experiments and in medical devices, such as blood pressure monitors.

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