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Water with a density of 998 kg/m³ (62.3 lb/ft³) enters a 50 mm (1.969-in.) pipe fitting horizontally, as shown in Fig. 4.10, at a steady velocity of 1.0 m/s (3.28 ft/s) and a gauge pressure of 100 kN/m² (14.48 lb,/in.²). It leaves the fitting horizontally, at the same elevation, at an angle of 45° with the entrance direc- tion. The diameter at the outlet is 20 mm (0.787 in.). Assuming the fluid density is con- stant, the kinetic energy and momentum correction factors at both entrance and exit are unity, and the friction loss in the fitting is negligible, calculate (a) the gauge pressure at the exit of the fitting and (b) the forces in the x and y directions exerted by the fitting on the fluid. V Po Vb.y Pb Vb.x

Water with a density of 998 kg/m³ (62.3 lb/ft³) enters a 50 mm (1.969-in.) pipe fitting horizontally, as shown in Fig. 4.10, at a steady velocity of 1.0 m/s (3.28 ft/s) and a gauge pressure of 100 kN/m² (14.48 lb,/in.²). It leaves the fitting horizontally, at the same elevation, at an angle of 45° with the entrance direc- tion. The diameter at the outlet is 20 mm (0.787 in.). Assuming the fluid density is con- stant, the kinetic energy and momentum correction factors at both entrance and exit are unity, and the friction loss in the fitting is negligible, calculate (a) the gauge pressure at the exit of the fitting and (b) the forces in the x and y directions exerted by the fitting on the fluid. V Po Vb.y Pb Vb.x

Elements Of Electromagnetics
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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I want to know the exeac process of answering Sb,x.

Is it Sb,x=Sb cosθ   right? 

I'm confusing It's Sb,x=Sb sinθ or cosθ

the solutions says both Sb,x & Sb,y is Sb cosθ  but I think it can't be same.

In this question, θ=45degree, so cosθ & sinθ is same but if the degree changes, it's different.

Which one is right?

Please answer me the Sb,x & Sb,y by showing it using sinθ & cosθ

Water with a density of 998 kg/m³ (62.3 lb/ft³) enters a 50 mm (1.969-in.) pipe fitting horizontally, as shown in Fig. 4.10, at a steady velocity of 1.0 m/s (3.28 ft/s) and a gauge pressure of 100 kN/m² (14.48 lb,/in.²). It leaves the fitting horizontally, at the same elevation, at an angle of 45° with the entrance direc- tion. The diameter at the outlet is 20 mm (0.787 in.). Assuming the fluid density is con- stant, the kinetic energy and momentum correction factors at both entrance and exit are unity, and the friction loss in the fitting is negligible, calculate (a) the gauge pressure at the exit of the fitting and (b) the forces in the x and y directions exerted by the fitting on the fluid. Po - Vb.y V₂ Pb Vb.
Transcribed Image Text:Water with a density of 998 kg/m³ (62.3 lb/ft³) enters a 50 mm (1.969-in.) pipe fitting horizontally, as shown in Fig. 4.10, at a steady velocity of 1.0 m/s (3.28 ft/s) and a gauge pressure of 100 kN/m² (14.48 lb,/in.²). It leaves the fitting horizontally, at the same elevation, at an angle of 45° with the entrance direc- tion. The diameter at the outlet is 20 mm (0.787 in.). Assuming the fluid density is con- stant, the kinetic energy and momentum correction factors at both entrance and exit are unity, and the friction loss in the fitting is negligible, calculate (a) the gauge pressure at the exit of the fitting and (b) the forces in the x and y directions exerted by the fitting on the fluid. Po - Vb.y V₂ Pb Vb.
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