Fig. 4 , a 2-in-diameter stream of water strikes a 4-ft-square door which is at an angle of 30° with lirection. The velocity of the water in the stream is 60.0 ft/s and the jet strikes the door at its ity. Neglecting friction, what normal force applied at the edge of the door will maintain 30.0, 60.0 52.0 90° 30 Hinge A 3.0 30.0 Fig. 4

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Fig. 4 , a 2-in-diameter stream of water strikes a 4-ft-square door which is at an angle of 30° with
lirection. The velocity of the water in the stream is 60.0 ft/s and the jet strikes the door at its
ity. Neglecting friction, what normal force applied at the edge of the door will maintain
30.0
60.0
52.0
-F.
90°
300
Hinge A
3.0
30.0
Fig. 4
Transcribed Image Text:Fig. 4 , a 2-in-diameter stream of water strikes a 4-ft-square door which is at an angle of 30° with lirection. The velocity of the water in the stream is 60.0 ft/s and the jet strikes the door at its ity. Neglecting friction, what normal force applied at the edge of the door will maintain 30.0 60.0 52.0 -F. 90° 300 Hinge A 3.0 30.0 Fig. 4
Given data
Velocity of jet striking the door is V= 60ft's
Density of water is p = 62.41lb/ft
Diameter of jet is D= 2in =;
2
=0.167ft
12
%3D
AD Tx0.167
Area of pipe jet is A=:
-= 0.022ft
4
4
Assuming velocity v =V =V,
From the momemtum equation, we have
F= pAV?
Force in the x-direction is F, = pAV (V cos 30°)
F =62.4x0.022 x 60(60×0.866)
F, = 4.28 kips (towar ds left)
Force in the y- direction is F, = pAV (V sin 30°)
F, =62.4x0.022 x 60(60x0.5)
F, =2.47 kips (upwards)
Resultant reaction is
F=F+(F,) =V4.28° + 2.47
F = 4.94kips
3D
%3D
Normal thrust of water on the door is given as
PAV sin (90°-30°) _ 62.4xx0.022 x 60² × 0.866
N=
32.2
N=132.91bs 0.133 kips
Assuming length of the door as 'L'
Taking moment at hinge-A,
EM, =0
L
PxL+Fx-Nx==0
2
P=-4.94 +0.133
P=4.78kips (away from the door)
Transcribed Image Text:Given data Velocity of jet striking the door is V= 60ft's Density of water is p = 62.41lb/ft Diameter of jet is D= 2in =; 2 =0.167ft 12 %3D AD Tx0.167 Area of pipe jet is A=: -= 0.022ft 4 4 Assuming velocity v =V =V, From the momemtum equation, we have F= pAV? Force in the x-direction is F, = pAV (V cos 30°) F =62.4x0.022 x 60(60×0.866) F, = 4.28 kips (towar ds left) Force in the y- direction is F, = pAV (V sin 30°) F, =62.4x0.022 x 60(60x0.5) F, =2.47 kips (upwards) Resultant reaction is F=F+(F,) =V4.28° + 2.47 F = 4.94kips 3D %3D Normal thrust of water on the door is given as PAV sin (90°-30°) _ 62.4xx0.022 x 60² × 0.866 N= 32.2 N=132.91bs 0.133 kips Assuming length of the door as 'L' Taking moment at hinge-A, EM, =0 L PxL+Fx-Nx==0 2 P=-4.94 +0.133 P=4.78kips (away from the door)
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