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An inclined manometer with water as the manometric fluid, shown in figure (1), made up of a glass tube having cross-sectional area of 50 mm2 is attached to an air conditioning duct. Calculate the pressure inside the duct, if the deflection in the inclined limb of the manometer is 100 mm. If 8000 mm3 of oil of specific gravity 0.9 is added into the manometer through the open end of the inclined tube, find the new deflection in the inclined limb. Take reservoir area as 200 mm2?
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An inclined manometer with water as the manometric fluid, shown in fig...
Calculation of Pressure Inside the Duct
- Given data:
- Deflection in the inclined limb (h1) = 100 mm
- Cross-sectional area of the glass tube (A1) = 50 mm²
- Specific gravity of water (SG) = 1
- Using the hydrostatic pressure formula:
Pressure inside the duct = ρgh1
where ρ = density of water, g = acceleration due to gravity
- Density of water (ρ) = 1000 kg/m³
- Acceleration due to gravity (g) = 9.81 m/s²
- Converting units:
h1 = 100 mm = 0.1 m
A1 = 50 mm² = 5 x 10⁻⁵ m²
- Calculating pressure inside the duct:
Pressure = 1000 x 9.81 x 0.1 / 5 x 10⁻⁵
Pressure ≈ 196200 Pa
Calculation of New Deflection
- Given data:
- Volume of oil added (V) = 8000 mm³
- Specific gravity of oil (SG) = 0.9
- Cross-sectional area of the reservoir (A2) = 200 mm²
- Mass of oil added (m) = V x SG x ρ
- Density of oil (ρ) = SG x density of water
- Converting units:
V = 8000 mm³ = 8 x 10⁻⁶ m³
A2 = 200 mm² = 2 x 10⁻⁴ m²
- Calculating mass of oil added:
m = 8 x 10⁻⁶ x 0.9 x 1000
m = 7.2 kg
- By applying the principle of equilibrium:
Pressure due to water column = Pressure due to oil column
ρ1gh1 = ρ2gh2
- New deflection h2 can be calculated as:
h2 = h1 x (A1 / A2) x (ρ1 / ρ2)
h2 = 100 x (5 x 10⁻⁵ / 2 x 10⁻⁴) x (1000 / 900)
h2 ≈ 27.78 mm
Therefore, the new deflection in the inclined limb of the manometer after adding oil will be approximately 27.78 mm.
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An inclined manometer with water as the manometric fluid, shown in figure (1), made up of a glass tube having cross-sectional area of 50 mm2 is attached to an air conditioning duct. Calculate the pressure inside the duct, if the deflection in the inclined limb of the manometer is 100 mm. If 8000 mm3 of oil of specific gravity 0.9 is added into the manometer through the open end of the inclined tube, find the new deflection in the inclined limb. Take reservoir area as 200 mm2?
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An inclined manometer with water as the manometric fluid, shown in figure (1), made up of a glass tube having cross-sectional area of 50 mm2 is attached to an air conditioning duct. Calculate the pressure inside the duct, if the deflection in the inclined limb of the manometer is 100 mm. If 8000 mm3 of oil of specific gravity 0.9 is added into the manometer through the open end of the inclined tube, find the new deflection in the inclined limb. Take reservoir area as 200 mm2? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about An inclined manometer with water as the manometric fluid, shown in figure (1), made up of a glass tube having cross-sectional area of 50 mm2 is attached to an air conditioning duct. Calculate the pressure inside the duct, if the deflection in the inclined limb of the manometer is 100 mm. If 8000 mm3 of oil of specific gravity 0.9 is added into the manometer through the open end of the inclined tube, find the new deflection in the inclined limb. Take reservoir area as 200 mm2? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An inclined manometer with water as the manometric fluid, shown in figure (1), made up of a glass tube having cross-sectional area of 50 mm2 is attached to an air conditioning duct. Calculate the pressure inside the duct, if the deflection in the inclined limb of the manometer is 100 mm. If 8000 mm3 of oil of specific gravity 0.9 is added into the manometer through the open end of the inclined tube, find the new deflection in the inclined limb. Take reservoir area as 200 mm2?.
An inclined manometer with water as the manometric fluid, shown in figure (1), made up of a glass tube having cross-sectional area of 50 mm2 is attached to an air conditioning duct. Calculate the pressure inside the duct, if the deflection in the inclined limb of the manometer is 100 mm. If 8000 mm3 of oil of specific gravity 0.9 is added into the manometer through the open end of the inclined tube, find the new deflection in the inclined limb. Take reservoir area as 200 mm2? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about An inclined manometer with water as the manometric fluid, shown in figure (1), made up of a glass tube having cross-sectional area of 50 mm2 is attached to an air conditioning duct. Calculate the pressure inside the duct, if the deflection in the inclined limb of the manometer is 100 mm. If 8000 mm3 of oil of specific gravity 0.9 is added into the manometer through the open end of the inclined tube, find the new deflection in the inclined limb. Take reservoir area as 200 mm2? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An inclined manometer with water as the manometric fluid, shown in figure (1), made up of a glass tube having cross-sectional area of 50 mm2 is attached to an air conditioning duct. Calculate the pressure inside the duct, if the deflection in the inclined limb of the manometer is 100 mm. If 8000 mm3 of oil of specific gravity 0.9 is added into the manometer through the open end of the inclined tube, find the new deflection in the inclined limb. Take reservoir area as 200 mm2?.
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An inclined manometer with water as the manometric fluid, shown in figure (1), made up of a glass tube having cross-sectional area of 50 mm2 is attached to an air conditioning duct. Calculate the pressure inside the duct, if the deflection in the inclined limb of the manometer is 100 mm. If 8000 mm3 of oil of specific gravity 0.9 is added into the manometer through the open end of the inclined tube, find the new deflection in the inclined limb. Take reservoir area as 200 mm2?, a detailed solution for An inclined manometer with water as the manometric fluid, shown in figure (1), made up of a glass tube having cross-sectional area of 50 mm2 is attached to an air conditioning duct. Calculate the pressure inside the duct, if the deflection in the inclined limb of the manometer is 100 mm. If 8000 mm3 of oil of specific gravity 0.9 is added into the manometer through the open end of the inclined tube, find the new deflection in the inclined limb. Take reservoir area as 200 mm2? has been provided alongside types of An inclined manometer with water as the manometric fluid, shown in figure (1), made up of a glass tube having cross-sectional area of 50 mm2 is attached to an air conditioning duct. Calculate the pressure inside the duct, if the deflection in the inclined limb of the manometer is 100 mm. If 8000 mm3 of oil of specific gravity 0.9 is added into the manometer through the open end of the inclined tube, find the new deflection in the inclined limb. Take reservoir area as 200 mm2? theory, EduRev gives you an
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