Before cooking dinner, I pour oil into the center of a frying pan at a rate of 10^-6 m^3 /s. Once it hits the pan, the oil flows outwards from the center in a 2mm-thick layer, forming a perfectly circular disc. Assume the oil velocity is purely radial in this thin layer, and it is uniform in the vertical direction. a. What is the oil velocity 5 cm from the center? b. What is the oil velocity 10 cm from the center?

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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.