1274 THE BELL SYSTEM TECHNICAL JOURNAL, NOVEMBER 1954 



After stud-to-case contact occurs, it is assumed that there is no 

 further pivoting of the weights or fiy-bar, and the assembly rotates as a 

 rigid body. During this time the general equation for angular velocity is 



CO = g tanh 0^^ + In \/a) (2) 



where q ^ regulated or final angular \-elocity 

 h = design constant 

 A = design and adjustment constant 

 t = time measured from the moment of initial braking 

 The deriv^ation of this general speed equation as it applies to the new 

 7-type dial governor is given in Appendix I. For this drive-bar type 

 governor the following terms apply: 



j^rjG/e 



(4) 



(o) 



^ aA}= a / ^(d — yc) -f Mycop- — yrjG/e /^x 



y g y My 



The derivation of the theoretical equation for speeds in excess of the 

 critical speed for the comparative fly-bar design results in the following 

 relationships: 



CO = g tanh ( - + ^n ^/A j 



where 



, G{d - yc) -\- Myoia .^. 



/o(a — yc) 



Io{d — yc) 



= /■ 



^ _ . /<^(f^ - MC) + il/MCOo- 



(9) 



g y My 



The form of the general speed equation is the same for all types of 



