Answered: A reducing elbow is used to deflect…

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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Question

A reducing elbow is used to deflect water flowrate at a rate of 1920 g/s in a horizontal pipe downward by an angle theta = 43 from the flow of direction while accelerating it. The elbow discharges water into the atmosphere. The diameter of the elbow at the inlet is 6.5 cm and at the exit is 1.5cm. The elevation difference between the centers of the exit and the inlet is 22cm . The mass of the elbow and the water is 61.5 kg. Determine the anchoring force needed to hold the elbow in place

Water
6.5-cm-diameter
22 cm
43
1.5-cm-diameter

Expert Solution

Step 1

$m a s s f l o w r a t e \dot{m} = 1920 g / s = 1.92 k g / s h o r i z o n t a l p i p e d o w n w a r d b y a n a n g l e, θ = 43^{o} d i a m e t e r o f t h e e l b o w a t t h e i n l e t i s d_{1} = 6.5 c m = 0.065 m d i a m e t e r o f t h e e l b o w a t t h e e x i t i s d_{2} = 1.5 c m = 0.015 m T h e e l e v a t i o n d i f f e r e n c e b e t w e e n t h e c e n t e r s o f t h e e x i t a n d t h e i n l e t i s Z = 22 c m = 0.22 m t h e m a s s o f t h e e l b o w a n d t h e w a t e r i s m = 61.5 k g .$

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