A ship 350 m long moves in sea water whose density is 1030 kg/m3 . A 1:120 model of this ship is to be tested in a wind tunnel. The velocity of the wind tunnel around the model is 35 m/s and the resistance of the model is 65 N. Determine the velocity and also the resistance of the ship in sea water. The density of air is given as 1.24 kg/m3 . Take the kinematic viscosity of air and sea water as 0.012 stokes and 0.018 stokes respectively. 1. Find the equation of pressure, P exerted by a fluid as a function of density, r. gravity.gand height of the fluid, h.2. Derive the equation for the power developed by a pump if it depends on discharge, Qand the specific weight, y of the fluid.3. Complete the table below. Show solution for the dimension of each item asked for.Physical QuantityMKS UnitUnit EquationDimensionAngular VelocityAngular AccelerationForceEnergyPowerDensityDynamic ViscosityKinematic ViscositySpecific Heat CapacityTorqueBulk Modulus5. A ship 350 m long moves in sea water whose density is 1030 kg/m³. A 1:120 model ofthis ship is to be tested in a wind tunnel. The velocity of the wind tunnel around the modelis 35 m/s and the resistance of the model is 65 N. Determine the velocity and also the

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Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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A ship 350 m long moves in sea water whose density is 1030 kg/m3 . A 1:120 model of this ship is to be tested in a wind tunnel. The velocity of the wind tunnel around the model is 35 m/s and the resistance of the model is 65 N. Determine the velocity and also the resistance of the ship in sea water. The density of air is given as 1.24 kg/m3 . Take the kinematic viscosity of air and sea water as 0.012 stokes and 0.018 stokes respectively.

1. Find the equation of pressure, P exerted by a fluid as a function of density, r. gravity.g
and height of the fluid, h.
2. Derive the equation for the power developed by a pump if it depends on discharge, Q
and the specific weight, y of the fluid.
3. Complete the table below. Show solution for the dimension of each item asked for.
Physical Quantity
MKS Unit
Unit Equation
Dimension
Angular Velocity
Angular Acceleration
Force
Energy
Power
Density
Dynamic Viscosity
Kinematic Viscosity
Specific Heat Capacity
Torque
Bulk Modulus
5. A ship 350 m long moves in sea water whose density is 1030 kg/m³. A 1:120 model of
this ship is to be tested in a wind tunnel. The velocity of the wind tunnel around the model
is 35 m/s and the resistance of the model is 65 N. Determine the velocity and also the

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