Water flows out of 5 mm x 200 mm slots in a sprinkler as shown. The mass flow rate is 15 kg/s.200 mm250 mma.Find the torque required to prevent the sprinkler from rotating.b. Find the rotation rate of the frictionless sprinkler when released.

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Answered: Water flows out of 5 mm x 200 mm slots…

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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Water flows out of 5 mm x 200 mm slots in a sprinkler as shown. The mass flow rate is 15 kg/s.
200 mm
250 mm
a.
Find the torque required to prevent the sprinkler from rotating.
b. Find the rotation rate of the frictionless sprinkler when released.

Expert Solution

Step 1: Given Data

$r subscript o equals 250 m m equals 0.250 m r subscript i equals 250 minus 200 equals 50 m m equals 0.050 m delta equals 5 m m equals 0.005 m m with dot on top equals 15 k g divided by s l e t space d e n s i t y colon space rho equals 1000 k g divided by m cubed Q subscript i n end subscript equals fraction numerator m with dot on top over denominator rho end fraction equals fraction numerator 15 k g divided by s over denominator 1000 k g divided by m cubed end fraction equals space 0.015 space m cubed divided by s$

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