MECHANICS OF THE INNER EAR 75 



The fluid unit, defined as one-fiftieth of the above quantity, 

 is therefore 



4300 a w 



300 



Any number m of such fluid units is then 



4300 aw m. 

 300 



We derived above the following equation between fluid 

 quantities and partition lengths 



/^= — - — (iOw+;i;> — (lowf 

 300 w= L ' ="- ^ /J 



In this equation we have to substitute for F the above 

 expression of fluid quantity and then to solve the equation 

 for X,. 



^^ = (low + x^" — iiowf 



300 300ze^= L J 



{\ow-\-x^^ = io'w^+4'ioow^m 



iow-\-x, = WV1000+430OW 

 x^ ;= (Viooo+4300w« — io)w 



The following table contains the corresponding values of 

 m and x,, measured in the unit of length w. 



