The tank of water shown below is 15 cm wide into the paper. The tank is accelerated in rigid-body motion at 9 m/s² in x-direction (right) and 2 m/s“ in z-direction (upwards). Assume nospilling.(a) Show with sketch what will happen to surface point B.(b) Find the angle 0 and the new water depth (height) of side AB.(c) Calculate the water force on wall AB.3Given: Specific Weight of Water, Ywater = 9790 N/m',Draw sketch and show all calculations.B20 cmWater at 20°C36 cm

Answered: The tank of water shown below is 15 cm…

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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Question

The tank of water shown below is 15 cm wide into the paper. The tank is accelerated in rigid-
body motion at 9 m/s² in x-direction (right) and 2 m/s“ in z-direction (upwards). Assume no
spilling.
(a) Show with sketch what will happen to surface point B.
(b) Find the angle 0 and the new water depth (height) of side AB.
(c) Calculate the water force on wall AB.
3
Given: Specific Weight of Water, Ywater = 9790 N/m',
Draw sketch and show all calculations.
B
20 cm
Water at 20°C
36 cm

Expert Solution

Step 1: Approach

The above liquid is subjected to acceleration in x direction and z direction, thus it is subjected to forces. The free surface of water in this case will not remain plane, but it will be inclined to the horizontal by an angle $θ$ which is given by the relation as,

$\tan θ = \frac{- a_{x}}{g + a_{z}}$

where, the minus sign indicated that the angle will be Supplementary in nature.

$a_{x}$ is the acceleration of the fluid in x direction

$a_{z}$ is the acceleration of the fluid in vertical direction

g is the acceleration due to gravity