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 Find the torque required to prevent the sprinkler from rotating. b. Find the rotation rate of the frictionless sprinkler when released.

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
Question
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.
Transcribed Image Text: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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