In order to measure the air speed in a pipe of radius R, you construct a device which tapers the pipe radius from R to R/2 so that the airflow then passes over R R/2 one end of a U-tube filled with water (not moving) as shown. (Problems 6-8) 6. If the air speed on the right side of the device (where the pipe radius is R) is equal to vo, find an expression for the airspeed on the left side (radius R/2) in terms of vo.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Question 7 

In order to measure the air
speed in a pipe of radius R, you
construct a device which tapers
the pipe radius from R to R/2 so
that the airflow then passes over
R
R/2
one end of a U-tube filled with
water (not moving) as shown.
(Problems 6-8)
6. If the air speed on the right
side of the device (where the
pipe radius is R) is equal to vo,
find
an expression for the
airspeed on the left side (radius
R/2) in terms of vo.
7. The difference in water height between the left and right side of the U-tube is 9.6 m. Find a value
for the difference in pressure between the two sides.
Transcribed Image Text:In order to measure the air speed in a pipe of radius R, you construct a device which tapers the pipe radius from R to R/2 so that the airflow then passes over R R/2 one end of a U-tube filled with water (not moving) as shown. (Problems 6-8) 6. If the air speed on the right side of the device (where the pipe radius is R) is equal to vo, find an expression for the airspeed on the left side (radius R/2) in terms of vo. 7. The difference in water height between the left and right side of the U-tube is 9.6 m. Find a value for the difference in pressure between the two sides.
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