document.write( "Question 152841This question is from textbook basic technical mathematics with calculus
\n" ); document.write( ": In studying the frictional effects on a flywheel, the revolutions per minute R that is makes as a function of the time T (in min)is given by R = 4520(0.750)^2.50T. Find T for R = 1950 R/min. \n" ); document.write( "

Algebra.Com's Answer #112550 by orca(409) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"R=4520%280.75%29%5E%282.5T%29\"$
\n" ); document.write( " $\"lnR=ln4520%2B2.5Tln0.75\"$
\n" ); document.write( "Solving for T,we have
\n" ); document.write( " $\"2.5Tlno.75=lnR-ln4520\"$
\n" ); document.write( " $\"T=%28lnR-ln4520%29%2F%282.5ln0.75%29\"$
\n" ); document.write( " $\"T=%28ln%28R%2F4520%29%29%2F%282.5ln0.75%29\"$
\n" ); document.write( "Substituting R = 1950 into the formula and evalute, we have
\n" ); document.write( " $\"T=%28ln%281950%2F4520%29%29%2F%282.5ln0.75%29=%28-0.841%29%2F%282.5%2A%28-0.288%29%29=1.168\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );