The drag force on a boat hull, Fp, is known to be a function of the hull length, L, its velocity, V, the properties of the fluid in which it is floating (density, p), and the acceleration due to gravity, g. g (a) For Fp = f(V,g,L,p), and using V,L,p as repeating variables, determine the non-dimensional parameters for this problem. (b) Tests are to be done in a water tank with a 1:12 scale model. At what velocity should the model be towed to simulate a full-scale speed of 10 m/s? (e) If the model drag is found to be 400 N what is the full-scale drag?

The drag force on a boat hull, Fp, is known to be a function of the hull length, L, its velocity, V, the properties of the fluid in which it is floating (density, p), and the acceleration due to gravity, g. g (a) For Fp = f(V,g,L,p), and using V,L,p as repeating variables, determine the non-dimensional parameters for this problem. (b) Tests are to be done in a water tank with a 1:12 scale model. At what velocity should the model be towed to simulate a full-scale speed of 10 m/s? (e) If the model drag is found to be 400 N what is the full-scale drag?

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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Concept explainers

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

The drag force on a boat hull, F,, is known to be
a function of the hull length, L, its velocity, V, the properties
of the fluid in which it is floating (density, p), and the
acceleration due to gravity, g.
(a) For Fp = f(V,g,L,p), and using V, L, p as repeating
variables, determine the non-dimensional parameters for
this problem.
(b) Tests are to be done in a water tank with a 1:12 scale
model. At what velocity should the model be towed to simulate a full-scale speed of 10
m/s?
(c) If the model drag is found to be 400 N, what is the full-scale drag?

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Step 3 Determine non dimensional parameters

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Step 4 Calculation of velocity at which model towed

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Step 5 Calculation of full scale drag

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