Using Newton's 2nd law (F = ma) and fundamental of fluid mechanics concepts, a) Write the force balance equations for the differential element. b) Derive the fluid statics equation VP+pg = - pa c) Calculate the gage pressure at a point 1m below the surface inside a tank filled with water if the tank is 1) at rest, 2) freely falling, 3) accelerating upward (against gravity) with 10m/s^2. √8 Ꮲ dz (p+Pd) d az pg dx dy dz P(x, y, z) dy dx (p_³P dz) az 2 dx dy Given P-pressure, p-density, a-acceleration, g=acceleration ə ə→ j + k. Show allf дz dx the important steps (assumptions, arithmetic/algebraic manipulations, etc.) as discussed in the class. Assume acceleration due to gravity = 10m/s^2. dz dx dy due to gravity, and 7 = it a → dy

Using Newton's 2nd law (F = ma) and fundamental of fluid mechanics concepts, a) Write the force balance equations for the differential element. b) Derive the fluid statics equation VP+pg = - pa c) Calculate the gage pressure at a point 1m below the surface inside a tank filled with water if the tank is 1) at rest, 2) freely falling, 3) accelerating upward (against gravity) with 10m/s^2. √8 Ꮲ dz (p+Pd) d az pg dx dy dz P(x, y, z) dy dx (p_³P dz) az 2 dx dy Given P-pressure, p-density, a-acceleration, g=acceleration ə ə→ j + k. Show allf дz dx the important steps (assumptions, arithmetic/algebraic manipulations, etc.) as discussed in the class. Assume acceleration due to gravity = 10m/s^2. dz dx dy due to gravity, and 7 = it a → dy

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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