An airplane wing, with chord length of 1.5 m and span of 9 m, is designed to move through standard air (v= 1.51x105 m²/s) at a speed of 7.5 m/s. A 1/10-scale model of this wing is to be tested in a water tunnel (v= 1.00×10 m²/s). If viscous effects govern, what speed is necessary in the water tunnel to achieve dynamic similarity? a.11.33 m/s b.4.97 m/s c.1.51 m/s d.2.98 m/s A dam spillway is to be tested with a 1:20 scale model. The model flow has an average velocity of 0.75 m/s and a volume flow of 0.06 cms. If the measured force on a certain part of the model is 1.5 N, what will be the corresponding force on the prototype be? a. 1,200 N b.12,000 N c.600 N d.6,000 N

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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The following operations may be done on a dimensionless product to obtain other another
product without losing its non-dimensionality EXCEPT:
a.Adding it to another dimensionless product
b. Multiplying it by another dimensionless product
c.Impose a constant exponent on it
d.Multiplying it by a constant
An airplane wing, with chord length of 1.5 m and span of 9 m, is designed to move through
standard air (v= 1.51×105 m²/s) at a speed of 7.5 m/s. A 1/10-scale model of this wing is to
be tested in a water tunnel (v= 1.00×106 m²/s). If viscous effects govern, what speed is
necessary in the water tunnel to achieve dynamic similarity?
a.11.33 m/s
b.4.97 m/s
c.1.51 m/s
d.2.98 m/s
A dam spillway is to be tested with a 1:20 scale model. The model flow has an average
velocity of 0.75 m/s and a volume flow of 0.06 cms. If the measured force on a certain part
of the model is 1.5 N, what will be the corresponding force on the prototype be?
a. 1,200 N
b.12,000 N
c.600 N
d.6,000 N
Transcribed Image Text:The following operations may be done on a dimensionless product to obtain other another product without losing its non-dimensionality EXCEPT: a.Adding it to another dimensionless product b. Multiplying it by another dimensionless product c.Impose a constant exponent on it d.Multiplying it by a constant An airplane wing, with chord length of 1.5 m and span of 9 m, is designed to move through standard air (v= 1.51×105 m²/s) at a speed of 7.5 m/s. A 1/10-scale model of this wing is to be tested in a water tunnel (v= 1.00×106 m²/s). If viscous effects govern, what speed is necessary in the water tunnel to achieve dynamic similarity? a.11.33 m/s b.4.97 m/s c.1.51 m/s d.2.98 m/s A dam spillway is to be tested with a 1:20 scale model. The model flow has an average velocity of 0.75 m/s and a volume flow of 0.06 cms. If the measured force on a certain part of the model is 1.5 N, what will be the corresponding force on the prototype be? a. 1,200 N b.12,000 N c.600 N d.6,000 N
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