ON THE ENERGY OF STORMS— MARGULES 543 



d, round d, the symbol for partial differentiation of any 



function or variable. 

 W, the potential of the attraction of gravitation combined 



with the centrifugal force of the diurnal rotation, 



a w * 



g = — - = the local apparent force of gravity, assumed to be 

 dz 



constant in these present applications and to be 



9.805966 m/ sec. 2 



A x , A y , A g , rectangular components of the deflecting force due to the 



rotation of the earth, or the general terms of the 



equations of motion that must satisfy the condition 



uA x +vA y +wA z = 0. 



p, elastic pressure within the air. 



H, density of the air. 



T, absolute temperature of the air in Centigrade degrees. 



T*, average temperature of large mass of air. 



dT e ' 



a = — - = rate of change of temperature of atmosphere with 

 dz 



altitude. 



R, the constant of the equation of elasticity for gas. 



p = RTji, the equation of elasticity for gas. 



C p , specific heat of air under constant pressure. 



C v , specific heat of air under constant volume. 



R C, 



C P - C v = R = kC p ; k = — ; y = ^r 



For adiabatic change from p 0l n T to p/xT we have 



Po \T / \fi / 



For dry air the numerical values are 



0.41 



met 2 Cat 



R = 287.026 — T~?r n = 0.0689 



sec 2 C° kg C ' 



met 2 Cat 

 C v = 987.09— yt^ = 0.237 t-^z 



v sec 2 C° kg C° 



g - c° 



^r = 0.009934 23 : 



C p met 2 



