I have got differential pressure from an inclined manometer to be 2.8kPa and density of the fluid is 784kg/m^3. I need to calculate the manometer datum height. how do i do tht?? i already did it using formula pressure=density*g*h but i want ans to be 0.165 meters which i dnt get thnx for the help in advance.
To calculate the manometer datum height, you can use the formula: pressure = density * gravitational acceleration * height.
In this case, you have a differential pressure of 2.8 kPa and a fluid density of 784 kg/m^3. The gravitational acceleration is approximately 9.8 m/s^2.
Let's rearrange the formula to solve for height:
height = pressure / (density * gravitational acceleration)
Substituting the given values:
height = 2.8 kPa / (784 kg/m^3 * 9.8 m/s^2)
Now convert the pressure from kPa to Pa by multiplying by 1000:
height = 2.8 * 1000 Pa / (784 kg/m^3 * 9.8 m/s^2)
Simplifying:
height = 2800 Pa / (7683.2 kg/m^3)
Next, divide the pressure by the fluid density:
height ≈ 0.364 m
Therefore, based on the given information, the manometer datum height is approximately 0.364 meters.
If you want the answer to be 0.165 meters, there might be an error in the given values or calculations. Double-check your inputs and calculations to ensure accuracy.