a) The speed of sound, c in an ideal gas is known to be a function of pressure, P and gas dentsity, p. Deduce the dimensional relationship between these parameters through the method of repeating variables with P and p as the repeating variables. b) The apparatus shown in Fig Q3(b) is used to gauge the viscosity of a fluid by dropping a spherical object in it and measuring the terminal velocity of the object in that fluid. A glass ball (p = 2500 kg/m³) is dropped into a fluid with density of 875 kg/m³ and dynamic viscosity of 0.061 kg/m.s. The terminal velocity of the glass ball is measured to be 1.3 m/s. Calculate the diameter of the glass ball. The wall effects are negligible. Meter Scale Fig. Q3(b) Sphere Liquid Container Sphere Retrieving Device
a) The speed of sound, c in an ideal gas is known to be a function of pressure, P and gas dentsity, p. Deduce the dimensional relationship between these parameters through the method of repeating variables with P and p as the repeating variables. b) The apparatus shown in Fig Q3(b) is used to gauge the viscosity of a fluid by dropping a spherical object in it and measuring the terminal velocity of the object in that fluid. A glass ball (p = 2500 kg/m³) is dropped into a fluid with density of 875 kg/m³ and dynamic viscosity of 0.061 kg/m.s. The terminal velocity of the glass ball is measured to be 1.3 m/s. Calculate the diameter of the glass ball. The wall effects are negligible. Meter Scale Fig. Q3(b) Sphere Liquid Container Sphere Retrieving Device
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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V4
Transcribed Image Text:3.
a) The speed of sound, c in an ideal gas is known to be a function of pressure, P and gas
dentsity, p. Deduce the dimensional relationship between these parameters through
the method of repeating variables with P and p as the repeating variables.
b) The apparatus shown in Fig Q3(b) is used to gauge the viscosity of a fluid by
dropping a spherical object in it and measuring the terminal velocity of the object in
that fluid. A glass ball (p = 2500 kg/m³) is dropped into a fluid with density of 875
kg/m³ and dynamic viscosity of 0.061 kg/m.s. The terminal velocity of the glass ball
is measured to be 1.3 m/s. Calculate the diameter of the glass ball. The wall effects
are negligible.
Meter Scale
ap
Fig. Q3(b)
Sphere
Liquid Container
Sphere Retrieving
Device
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