h C | d g = 9.807 m/s² = 32.17 ft/s² Ywater = 9790 N/m³ = 62.4 lb/ft³ d = 0.9 m h = 1.945 m a = 2.43 m/s² SG = 0.815 (SG of fluid A) In the given figure, a closed cylindrical tank (with a small hole at the top cover of the tank) with a diameter d and height h full of fluid A was initially being transported at horizontal acceleration a. (a) Determine the force acting at the top of the tank and the pressure at point C during this time. However, the vehicle carrying the tank saw a roadblock up ahead, causing the vehicle to suddenly decelerate at the rate of 2a, causing the top cover to come off of the tank. Assuming that the tank stayed upright the whole time, calculate (b) how much fluid the tank lost at deceleration. Upon reaching its destination, was rotated about its geometric axis. Given that it holds the same amount of fluid from after the deceleration. (c) What is the maximum angular velocity that the tank can be spun such that no more fluid is spilled?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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h
C
d
g = 9.807 m/s² = 32.17 ft/s²
Ywater = 9790 N/m³ = 62.4 lb/ft³
d = 0.9 m
h = 1.945 m
a = 2.43 m/s²
SG = 0.815 (SG of fluid A)
In the given figure, a closed cylindrical tank (with a small hole at the top cover of the tank) with a diameter d and height
h full of fluid A was initially being transported at horizontal acceleration a.
(a) Determine the force acting at the top of the tank and the pressure at point C during this time.
However, the vehicle carrying the tank saw a roadblock up ahead, causing the vehicle to suddenly decelerate at the rate
of 2a, causing the top cover to come off of the tank. Assuming that the tank stayed upright the whole time, calculate
(b) how much fluid the tank lost at deceleration.
Upon reaching its destination, was rotated about its geometric axis. Given that it holds the same amount of fluid from
after the deceleration.
(c) What is the maximum angular velocity that the tank can be spun such that no more fluid is spilled?
(d) Determine the volume spilled and maximum angular velocity the tank can be spun such that the apex of the
paraboloid of revolution just reaches the bottom of the tank.
Transcribed Image Text:h C d g = 9.807 m/s² = 32.17 ft/s² Ywater = 9790 N/m³ = 62.4 lb/ft³ d = 0.9 m h = 1.945 m a = 2.43 m/s² SG = 0.815 (SG of fluid A) In the given figure, a closed cylindrical tank (with a small hole at the top cover of the tank) with a diameter d and height h full of fluid A was initially being transported at horizontal acceleration a. (a) Determine the force acting at the top of the tank and the pressure at point C during this time. However, the vehicle carrying the tank saw a roadblock up ahead, causing the vehicle to suddenly decelerate at the rate of 2a, causing the top cover to come off of the tank. Assuming that the tank stayed upright the whole time, calculate (b) how much fluid the tank lost at deceleration. Upon reaching its destination, was rotated about its geometric axis. Given that it holds the same amount of fluid from after the deceleration. (c) What is the maximum angular velocity that the tank can be spun such that no more fluid is spilled? (d) Determine the volume spilled and maximum angular velocity the tank can be spun such that the apex of the paraboloid of revolution just reaches the bottom of the tank.
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