Air Q2) A pressurized tank of square cross section area of 2 m x 2 m is filled with air and water as shown. The air is at pressure of 50 kPa (gage). An opening gate with a rectangular cross section is held closed by a lever 1 m long attached to a buoyant cylinder. The cylinder is 25 cm in diameter and mass of 30 kg. The gate is attached to a horizontal shaft so it can pivot about its center. The width of the gate is 0.5 m. The chain and lever attached to the gate have negligible weight. The water depth above the top of the gate is 10 m. P = 50 kPa 25 cm Water 15 m 10 m a) Obtain the hydrostatic force acting on the gate. b) Locate the corresponding center of pressure. e) Find the length of the chain such that the gate is just on the verge of opening d) Suggest modifications to be done for the eylindrical buoyant in order to reduce the length of the chain. pivot - Im

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Air
P= 50 kPa
Q2) A pressurized tank of square cross section area of 2 m x 2 m
is filled with air and water as shown. The air is at pressure of 50
kPa (gage). An opening gate with a rectangular cross section is
held closed by a lever 1 m long attached to a buoyant cylinder.
The cylinder is 25 cm in diameter and mass of 30 kg. The gate is
attached to a horizontal shaft so it can pivot about its center. The
width of the gate is 0.5 m. The chain and lever attached to the
gate have negligible weight. The water depth above the top of the
gate is 10 m.
25 cm
Water
15 m
10 m
a) Obtain the hydrostatic force acting on the gate.
b) Locate the corresponding center of pressure.
c) Find the length of the chain such that the gate is just on
the verge of opening
d) Suggest modifications to be done for the eylindrical
buoyant in order to reduce the length of the chain.
pivot
1m
2 m
Transcribed Image Text:Air P= 50 kPa Q2) A pressurized tank of square cross section area of 2 m x 2 m is filled with air and water as shown. The air is at pressure of 50 kPa (gage). An opening gate with a rectangular cross section is held closed by a lever 1 m long attached to a buoyant cylinder. The cylinder is 25 cm in diameter and mass of 30 kg. The gate is attached to a horizontal shaft so it can pivot about its center. The width of the gate is 0.5 m. The chain and lever attached to the gate have negligible weight. The water depth above the top of the gate is 10 m. 25 cm Water 15 m 10 m a) Obtain the hydrostatic force acting on the gate. b) Locate the corresponding center of pressure. c) Find the length of the chain such that the gate is just on the verge of opening d) Suggest modifications to be done for the eylindrical buoyant in order to reduce the length of the chain. pivot 1m 2 m
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