from the Froude model law, and simple relationships for area, volume, 

 force, etc., as follows: 



(1) Velocity . Velocity ratios are obtained directly from the 

 Froude model law (eq. 2-9, Section II) 



i 



from which 



1/2 ' 



.1/2 



and 



(2) Time . Since length equals velocity times time. 



Lr = VJ, , yr = r = (^L,)l/2 , 



and 



'L \l/2 

 T = Li/2a:l/2=(_I] (4-2) 



(3) Force. Since force equals mass times acceleration, 



dV^ . 7 V 

 r &r ^r 



Substituting the values of Vj- and Tj. from equations (4-1) and (4-2) 



F^ - L^^Tr . C4-3b) 



(4) Weight . Weight equals volume times specific weight; 

 therefore, 



W^ = L^T^ . (4-4) 



(5) Energy . Energy is a force times distance; therefore. 



207 



