document.write( "Question 1124491: Use the model for the period of a pendulum, T, such that
\n" );
document.write( "T = 2π sqrt(L/g) where the length of the pendulum is L and the acceleration due to gravity is g. \r
\n" );
document.write( "\n" );
document.write( "If the gravity is 32 ft/s^2 and the period equals 9 s, find the length to the nearest in.
\n" );
document.write( "(12 in. = 1 ft).
\n" );
document.write( " Round your answer to the nearest in. \n" );
document.write( "
Algebra.Com's Answer #740802 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! 2 * pi * sqrt(L/g) = T \n" ); document.write( ": \n" ); document.write( "2 * (22/7) * sqrt(L/32) = 9 \n" ); document.write( ": \n" ); document.write( "sqrt(L/32) = 9 * 7/44 = 1.4318 \n" ); document.write( ": \n" ); document.write( "L/32 = 2.05 \n" ); document.write( ": \n" ); document.write( "L = 65.6 feet \n" ); document.write( ": \n" ); document.write( "0.6 of 12 inches is 7.2 or approximately 7 inches \n" ); document.write( ": \n" ); document.write( "65 * 12 + 7 = 787 inches \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |