document.write( "Question 1197651: The tangent of the proper banking angle θ of the road for a car
\n" ); document.write( "making a turn is directly proportional to the square of the car’s
\n" ); document.write( "velocity v and inversely proportional to the radius r of the turn.
\n" ); document.write( "7.75° is the proper banking angle for a car travelling at 20.0 m/s
\n" ); document.write( "around a turn of radius 300m.What is the proper banking angle
\n" ); document.write( "for a car travelling at 30.0 m/s around a turn of radius 250 m?
\n" ); document.write( "Thank you \n" ); document.write( "

Algebra.Com's Answer #831011 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!
The tangent of the proper banking angle θ of the road for a car
\n" ); document.write( "making a turn is directly proportional to the square of the car’s
\n" ); document.write( "velocity v and inversely proportional to the radius r of the turn.
\n" ); document.write( "7.75° is the proper banking angle for a car travelling at 20.0 m/s
\n" ); document.write( "around a turn of radius 300m.What is the proper banking angle
\n" ); document.write( "for a car travelling at 30.0 m/s around a turn of radius 250 m?
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "Write the \"k-equation\":\r\n" );
document.write( "\r\n" );
document.write( " =  \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Substitute the information from the situation when ALL the quantities \r\n" );
document.write( "are given (except k):\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Solve for k:\r\n" );
document.write( "\r\n" );
document.write( "Multiply both sides by 300\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Make sure your calculator is in degree mode and not radian mode:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Divide both sides by 400\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Substitute the value of k in the first equation:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Substitute the information from the other situation when all \r\n" );
document.write( "the variables BUT ONE are given:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Calculate the right side:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Solve for the missing variable, which in this case is \"θ\":\r\n" );
document.write( "\r\n" );
document.write( "Use the inverse tangent function on your calculator\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Since the given angle was rounded to hundredths, round your final\r\n" );
document.write( "answer the same way:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );