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The pressure at a point in the fluid is 4.9 N/cm2. Find height when the fluid under consideration is in oil of specific gravity of 0.85.
Correct answer is '5.81 - 5.84 m'. Can you explain this answer?
Verified Answer
The pressure at a point in the fluid is 4.9 N/cm2. Find height when th...
Height = p / ρg 
= 48620 / 850 * 9.81 
= 5.83 m.
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The pressure at a point in the fluid is 4.9 N/cm2. Find height when th...
Given Data:

Pressure at a point in the fluid = 4.9 N/cm²
Specific gravity of oil = 0.85

Formula:

The pressure at a point in a fluid can be calculated using the formula:
Pressure = ρgh
where,
ρ = density of the fluid
g = acceleration due to gravity
h = height of the fluid column

The density of the fluid can be calculated using the formula:
ρ = specific gravity × density of water

Calculation:

Given that the specific gravity of the oil is 0.85. The density of water is 1000 kg/m³.

Step 1: Calculate the density of the oil:

Density of oil = specific gravity × density of water
Density of oil = 0.85 × 1000 kg/m³
Density of oil = 850 kg/m³

Step 2: Convert the pressure units:

Given pressure = 4.9 N/cm²
1 N/cm² = 1 N/(0.01 m)² = 10000 N/m²
Pressure = 4.9 × 10000 N/m²
Pressure = 49000 N/m²

Step 3: Rearrange the formula and solve for height:

Pressure = ρgh
h = Pressure / (ρg)
h = 49000 N/m² / (850 kg/m³ × 9.81 m/s²)
h ≈ 5.81 m

Therefore, the height of the fluid column is approximately 5.81 meters.

Final Answer:

The height of the fluid column when the pressure at a point in the fluid is 4.9 N/cm² and the fluid is oil with a specific gravity of 0.85 is approximately 5.81 meters.
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The pressure at a point in the fluid is 4.9 N/cm2. Find height when the fluid under consideration is in oil of specific gravity of 0.85.Correct answer is '5.81 - 5.84 m'. Can you explain this answer?
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