document.write( "Question 436849: The acoustical intensity, I, of a sound wave is proportional to the square of the pressure amplitude, P, and inversely proportional to the velocity, v, of the wave. If I=0.6W/m^2 for P=30.0Pa and v=150m/s, find v if P=50 Pa and I=2.4W/m^2.\r
\n" ); document.write( "\n" ); document.write( "Please help
\n" ); document.write( "

Algebra.Com's Answer #302360 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
The acoustical intensity, I, of a sound wave is proportional to the square of
\n" ); document.write( " the pressure amplitude, P, and inversely proportional to the velocity, v, of the wave.
\n" ); document.write( " If I=0.6W/m^2 for P=30.0Pa and v=150m/s, find v if P=50 Pa and I=2.4W/m^2.
\n" ); document.write( ":
\n" ); document.write( "From the given information we can write a formula:
\n" ); document.write( "I = \"%28k%2Ap%5E2%29%2Fv\", where k is the constant of variation
\n" ); document.write( ":
\n" ); document.write( "Using the given values, find k:
\n" ); document.write( "\"If I=0.6W/m^2 for P=30.0Pa and v=150m/s
\n" ); document.write( ":
\n" ); document.write( ".6 = \"%28k%2A30%5E2%29%2F150\"
\n" ); document.write( "150*.6 = 900k
\n" ); document.write( "90 = 900k
\n" ); document.write( "k = \"90%2F900\"
\n" ); document.write( "k = .1 the constant of variation
\n" ); document.write( ":
\n" ); document.write( "We can write the formula
\n" ); document.write( "I = \"%28.1p%5E2%29%2Fv\"
\n" ); document.write( ":
\n" ); document.write( "\"find v if P=50 Pa and I=2.4W/m^2.\"
\n" ); document.write( "2.4 = \"%28.1%2A50%5E2%29%2Fv\"
\n" ); document.write( "2.4v = .1*2500
\n" ); document.write( "v = \"250%2F2.4\"
\n" ); document.write( "v = 104.167 m/sec
\n" ); document.write( "
\n" );