The U-tube contains liquid. Determine what is the density of this liquid, if its pressure on the bottom at point
The U-tube contains liquid. Determine what is the density of this liquid, if its pressure on the bottom at point A (bottom in the middle) is 1.5 kPa, h = 15 cm, g = 10 n / kg.
Given:
P = 1.5 kPa = 1500 Pascal – the pressure of the liquid column in the U-tube;
h = 15 centimeters – the height of the liquid column;
g = 10 Newton / kilogram – acceleration of gravity.
It is required to determine ro (kilogram / cubic meter) – the density of the liquid.
We translate the units of measurement of length into the SI system:
h = 15 cm = 15 * 10-2 = 15/100 = 0.15 meters.
Then, to determine the density of the liquid, you must use the following formula:
P = ro * g * h, from here we find that:
ro = P / (g * h) = 1500 / (10 * 0.15) = 1500 / 1.5 = 1000 kg / m3.
Answer: The density of the liquid in the U-tube is 1000 kg / m3.