3. The tank shown in the Figure is filled with water and has a 4 cm diameter plug at the bottom on the right. There is a manometer connected to the tank on the left-hand side, filled with Mercury. All fluids are at 20°C. The safety plug will pop out if the hydrostatic force on it is 25 N. The density of the water and Mercury are pw 998 kg/m³ and pm = 13568 kg/m³, respectively. The gravitational acceleration is g = 9.81 m/s². Mercury 2 cm Water Plug, D=4 cm 50⁰ a) When the plug is about to pop out, what is the distance from the centroid of the plug to the free surface of water, he? b) When the plug is about to pop out, what will be the height, h, of the mercury in the manometer?

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter8: Centroids And Distributed Loads
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3. The tank shown in the Figure is filled with water and has a 4 cm diameter plug at the bottom on the right. There
is a manometer connected to the tank on the left-hand side, filled with Mercury. All fluids are at 20°C. The safety
plug will pop out if the hydrostatic force on it is 25 N. The density of the water and Mercury are pw = 998 kg/m³
and pm = 13568 kg/m³, respectively. The gravitational acceleration is g = 9.81 m/s².
Mercury
2 cm
H
Water
Plug,
D = 4 cm
50⁰
a) When the plug is about to pop out, what is the distance from the centroid of the plug to the free surface of
water, he?
b) When the plug is about to pop out, what will be the height, h, of the mercury in the manometer?
Transcribed Image Text:3. The tank shown in the Figure is filled with water and has a 4 cm diameter plug at the bottom on the right. There is a manometer connected to the tank on the left-hand side, filled with Mercury. All fluids are at 20°C. The safety plug will pop out if the hydrostatic force on it is 25 N. The density of the water and Mercury are pw = 998 kg/m³ and pm = 13568 kg/m³, respectively. The gravitational acceleration is g = 9.81 m/s². Mercury 2 cm H Water Plug, D = 4 cm 50⁰ a) When the plug is about to pop out, what is the distance from the centroid of the plug to the free surface of water, he? b) When the plug is about to pop out, what will be the height, h, of the mercury in the manometer?
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