Calculating Pressure Change in a Manometer Due to Removal of Air Bubble

• ramilla
In summary, a manometer with a 1.25 cm inner diameter and one leg containing 10cc of mercury, 10cc of an oil with a specific gravity of 1.4, and 3cc of air as a bubble, while the other leg contains only mercury and both are open to atmosphere, is affected by an accident in which 3cc of oil and the air bubble are removed from one leg. To calculate the change in pressure, the formula Δp=ρgh is used, where ρ is the density of the fluid, g is the acceleration due to gravity, and h is the height difference. The length of the air bubble column is calculated to be 2.445 cm, but further steps
ramilla

Homework Statement

a manometer consisting of tube that is 1.25 cm inner diameter . on one side , the manometer leg contains mercury,10cc of an oil(S.G.=1.4)and 3 cc of air as a bubble in oil . the other leg contains only mercury . both legs are open to atmosphere and static . An accident occurs in which 3cc of oil and air bubble are removed from one leg . how much do mercury height levels change?

Δp=ρgh

The Attempt at a Solution

i calculated the change in pressure due to 3 cc air bubble
∏/4 * 1.25*1.25*l=3
where l = length of airbubble column
l=2.445 cm ...after that cudnt proceed

What is a manometer used for?

A manometer is used to measure the pressure of a fluid in a closed system. It is commonly used in fluid mechanics experiments and in the design of various mechanical systems.

How does a manometer work?

A manometer works by using a column of liquid, typically mercury or water, to measure the pressure of a gas or liquid in a closed system. The height of the liquid column is directly proportional to the pressure of the fluid being measured.

What is the difference between a U-tube manometer and an inclined manometer?

A U-tube manometer consists of a simple, vertical tube filled with liquid, while an inclined manometer is tilted at an angle and has a larger range of measurement. The type of manometer used depends on the specific application and desired precision.

How is a manometer calibrated?

A manometer is calibrated by measuring a known pressure and marking the corresponding height of the liquid column. This allows for accurate measurement of unknown pressures by comparing the height of the liquid column to the known calibration measurements.

What are some common applications of manometers?

Manometers are commonly used in the fields of fluid mechanics, hydraulics, and aerodynamics to measure pressure in closed systems. They are also used in medical devices, such as blood pressure monitors, and in industrial processes to monitor and control fluid pressure.

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