I need answer within 20 minutes please please with my best wishes Q1)The vertical displacement h of a freely falling body from its point of projection at anytime t, is determined by the acceleration due to gravity g. Find the relationship of hwith / and gusing Buckingham's Pi theorem.Q2)For a steady, fully developed laminar flow through a duct, the pressure drop per unitlength of the duct A pll is constant in the direction of flow and depends on theaverage flow velocity V, the hydraulic diameter of the duct D, the density p, and theviscosity u, of the fluid. Find out the pertinent dimensionless groups goveming theproblem by the use of Buckingham's a theorem.Q3)Drag force F, on a high speed air craft depends on the velocity of flight V, thecharacteristic geometrical dimension of the air craft 1, the density p, viscosity u, andisentropic bulk modulus of elasticity E,, of ambient air. Using Buckingham's ntheorem, find out the independent dimensionless quantities which describe thephenomenon of drag on the aircraft.

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Q1) The vertical displacement h of a freely falling body from its point of projection at any time 1, is determined by the acceleration due to gravity g. Find the relationship of h with / and g using Buckingham's Pi theorem.

Q1) The vertical displacement h of a freely falling body from its point of projection at any time 1, is determined by the acceleration due to gravity g. Find the relationship of h with / and g using Buckingham's Pi theorem.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

I need answer within 20 minutes please please with my best wishes

Q1)
The vertical displacement h of a freely falling body from its point of projection at any
time t, is determined by the acceleration due to gravity g. Find the relationship of h
with / and gusing Buckingham's Pi theorem.
Q2)
For a steady, fully developed laminar flow through a duct, the pressure drop per unit
length of the duct A pll is constant in the direction of flow and depends on the
average flow velocity V, the hydraulic diameter of the duct D, the density p, and the
viscosity u, of the fluid. Find out the pertinent dimensionless groups goveming the
problem by the use of Buckingham's a theorem.
Q3)
Drag force F, on a high speed air craft depends on the velocity of flight V, the
characteristic geometrical dimension of the air craft 1, the density p, viscosity u, and
isentropic bulk modulus of elasticity E,, of ambient air. Using Buckingham's n
theorem, find out the independent dimensionless quantities which describe the
phenomenon of drag on the aircraft.

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