1. (a)The motion of a floating vessel through the surrounding fluid results ina drag force D which is thought to depend upon the vessel's speed v,its length I, the density p and dynamic viscosity μ of the fluid and theacceleration due to gravity g.Show that:-D = pv²1² (1)(b)In order to predict the drag on a full scale 50m long ship traveling at7m/s in sea water at 5°C of density 1027.7225 kg/m³ and viscosity1.62 x 103 Pa.s, a model 3m long is tested in a liquid of density805 kg/m³.What speed does the model need to be tested at and what is therequired viscosity of the liquid?

Since a) & b) questions are different , so according to our guidelines, we are supposed to…

1. (a) The motion of a floating vessel through the surrounding fluid results in a drag force D which is thought to depend upon the vessel's speed v, its length I, the density p and dynamic viscosity u of the fluid and the acceleration due to gravity g. Show that:- D = pv²1²4 (PD² 10/20 (b) In order to predict the drag on a full scale 50m long ship traveling at 7m/s in sea water at 5°C of density 1027.7225 kg/m³ and viscosity 1.62 x 10 Pa.s, a model 3m long is tested in a liquid of density 805 kg/m³. What speed does the model need to be tested at and what is the required viscosity of the liquid?

1. (a) The motion of a floating vessel through the surrounding fluid results in a drag force D which is thought to depend upon the vessel's speed v, its length I, the density p and dynamic viscosity u of the fluid and the acceleration due to gravity g. Show that:- D = pv²1²4 (PD² 10/20 (b) In order to predict the drag on a full scale 50m long ship traveling at 7m/s in sea water at 5°C of density 1027.7225 kg/m³ and viscosity 1.62 x 10 Pa.s, a model 3m long is tested in a liquid of density 805 kg/m³. What speed does the model need to be tested at and what is the required viscosity of the liquid?

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

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Concept explainers

Metrology of surface finish

In general terms, the application of scientific principles in the study of measurements is known as metrology. When speaking about measurement, it could be of time, length, microstructures, grain structures, internal crystal discontinuities, surface roughness, measurements of angles, height, width, and so on. While coming to the domain of mechanical engineering, metrology is considered the science of measurements of surface finish, length, surface texture, and angles.

Question

1. (a)
The motion of a floating vessel through the surrounding fluid results in
a drag force D which is thought to depend upon the vessel's speed v,
its length I, the density p and dynamic viscosity μ of the fluid and the
acceleration due to gravity g.
Show that:-
D = pv²1² (1)
(b)
In order to predict the drag on a full scale 50m long ship traveling at
7m/s in sea water at 5°C of density 1027.7225 kg/m³ and viscosity
1.62 x 103 Pa.s, a model 3m long is tested in a liquid of density
805 kg/m³.
What speed does the model need to be tested at and what is the
required viscosity of the liquid?

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