Milk with a density of 1020 kg/m3 is transported on a level road in a 9-m-long, 3-m-diameter cylindrical tanker. The tanker is completely filled with milk (no air space), and it accelerates at 4 m/s . If the minimum pressure in the tanker is 100 kPa, determine the maximum pressure difference and the location of the maximum pressure. 66.7 kPa

Solution :

Given data is :

Density of the milk in the tank,

Length of the tank, x = 9 m

Height of the tank, z = 3 m

Acceleration of the tank,

Therefore, the pressure difference between the two points is given by :

Since the tank is completely filled with milk, the vertical acceleration is

Therefore substituting, we get

Therefore the maximum pressure difference in the tank is Δp = 47.87 kPa and is located at the bottom of the tank.