Question 1124528
 
	


{{{T = 2pi* sqrt(L/g)}}}...i {{{g=32 (ft/s^2 )}}} and {{{T=9s}}}, we have

{{{9s = 2pi* sqrt(L/32 (ft/s^2 ))}}}...convert {{{32ft}}} to {{{in}}}


{{{32ft=32*12in=384in}}}



{{{9s/(2*pi) = sqrt(L/ (384in/s^2 ))}}}.........square both sides

{{{(9s/(2*pi))^2 = (sqrt(L/ (384in/s^2 )))^2}}}

{{{(81s^2/(4*(pi)^2) )= L/ (384in/s^2 )}}}

{{{L=(81cross(s^2)/(4*(pi)^2)) * (384in/cross(s^2 ))}}}

{{{L=(81/(4*(pi)^2) ))* 384in}}}

{{{L=2.051753968757339871 * 384in}}}

{{{L=787.873524002818510464in}}} round it

{{{L=788in}}}