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Milk with a density of 1020 kg/m3 is transported on a

Chapter 3, Problem 110P

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QUESTION:

Problem 110P

Milk with a density of 1020 kg/m3 is transported on a level road in a 7–m–long, 3–m–diameter cylindrical tanker. The tanker is completely filled with milk (no air space), and it accelerates at 2.5 m/s2. If the minimum pressure in the tanker is 100 kPa, determine the maximum pressure difference and the location of the maximum pressure.

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QUESTION:

Problem 110P

Milk with a density of 1020 kg/m3 is transported on a level road in a 7–m–long, 3–m–diameter cylindrical tanker. The tanker is completely filled with milk (no air space), and it accelerates at 2.5 m/s2. If the minimum pressure in the tanker is 100 kPa, determine the maximum pressure difference and the location of the maximum pressure.

ANSWER:

Step 1

As the gravitational acceleration creates creates pressure difference in the vertical direction, the horizontal acceleration will also create the pressure difference in the horizontal direction.

The pressure increases towards the direction of increases. Find out the direction of the acceleration of the liquid relative to the container and the change in the pressure. The maximum pressure is the change in pressure plus the minimum pressure.

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