; An air tank has a volume of 2 m³. In the beginning the air pressure in the tank is 150 kPa. Then comprssed air is continuously pumped through a hose into the tank at a volumetric flow rate Q = m/min, where p is the density of air in the tank in kg/m³. As the air enters the tank, its temperature is 30 °C, and the gas constant for air is 287 J/(kg-K). a) Please determine the initial density of the air within the tank (Hint: p = P/RT). b) Please determine the rate at which the density of the air within the tank is changing in the dp beginning, i.e. ). O =? t=0 c) Please calculate the pressure in the tank after 5 minutes. A

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Fluid Kinematics

The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid statics) or in motion (posing some velocity). In fluid kinematics, studies focus on the associated motion of fluid particles or groups of particles, and its associated parameters like displacements, velocity, and acceleration without concerning about the forces that caused the motion. All the laws of classical mechanics are applied in the study of fluid kinematics.