The maximum pitching moment that is developed by the water on a flying boat as it lands is noted as.

The maximum pitching moment that is
developed by the water on a flying boat as it lands is noted as cmax
The following are the variables involved in this action:

  angle made by
flight path of plane with horizontal,

angle defining
attitude of plane,

M  mass of plane,

L  length of hull,

 density
of water,

g  acceleration of
gravity,

R  radius of gyration
of plane about axis of pitching.

(a) According to the Buckingham  
»

The maximum pitching moment that is
developed by the water on a flying boat as it lands is noted as cmax
The following are the variables involved in this action:

  angle made by
flight path of plane with horizontal,

angle defining
attitude of plane,

M  mass of plane,

L  length of hull,

 density
of water,

g  acceleration of
gravity,

R  radius of gyration
of plane about axis of pitching.

(a) According to the Buckingham  theorem, how many
independent dimensionless groups should there be which characterize this
problem?

(b) What is the dimensional matrix of this
problem? What is its rank?

(c) Evaluate the appropriate dimensionless
parameters for this problem.

»

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