"the maximum blood pressure in the upper arm of healthy person is about 12mmHg.If a vertical tube open to the atmosphere is connected to the vein in the arm of the person,determine how high the blood will rise in the tube.Take the density of blood to be 1050kg/m3"
To determine how high the blood will rise in the tube, we can use the principle of hydrostatic pressure. The pressure in the tube will be equal to the pressure in the arm vein, which is approximately 12 mmHg.
First, let's convert the pressure from mmHg to Pascals (Pa). The conversion factor is 1 mmHg = 133.322 Pa. Therefore, the pressure in the tube is 12 mmHg * 133.322 Pa / 1 mmHg = 1599.864 Pa.
Since pressure is directly proportional to the height of a column of fluid, we can use the equation:
Pressure = density * gravity * height
where density is the density of blood (1050 kg/m^3), gravity is the acceleration due to gravity (9.8 m/s^2), and height is the height of the column of blood in the tube that we need to determine.
Rearranging the equation, we have:
Height = Pressure / (density * gravity)
Substituting the values, we get:
Height = 1599.864 Pa / (1050 kg/m^3 * 9.8 m/s^2)
Height ≈ 0.155 meters
Therefore, the blood will rise to a height of approximately 0.155 meters in the tube.