document.write( "Question 812535: a clock reads 5:30
\n" );
document.write( "a) what is the radian measure of the smaller angle between the hour and the minute hand
\n" );
document.write( "b) what is the linear speed of the tip of the minute hand on a clock if that hand is 5cm long \n" );
document.write( "
Algebra.Com's Answer #489240 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! a clock reads 5:30 \n" ); document.write( "--- \n" ); document.write( "what is the radian measure of the smaller angle (A) between the hour and the minute hand? \n" ); document.write( "--- \n" ); document.write( "the hour hand is at h radians clockwise from 12 noon \n" ); document.write( "h = (5/12) * 2 * pi ~= 2.618 \n" ); document.write( "--- \n" ); document.write( "the minute hand is at m radians clockwise from 12 noon \n" ); document.write( "m = (6/12) * 2 * pi ~= 3.142 \n" ); document.write( "--- \n" ); document.write( "A = 3.142 - 2.618 = 0.524 radians \n" ); document.write( "--- \n" ); document.write( "what is the linear speed of the tip of the minute hand on a clock if that hand is 5 cm long \n" ); document.write( "--- \n" ); document.write( "s = d / t \n" ); document.write( "--- \n" ); document.write( "C = 2 * pi * R = 2 * pi * 0.05 = 0.31416 m/rev \n" ); document.write( "--- \n" ); document.write( "angular speed = (1 rev / 60 min) * (1 min / 60 sec) = 1/3600 rev/sec \n" ); document.write( "--- \n" ); document.write( "linear tip speed = (0.31416 m/rev) * (1/3600 rev/sec) = 8.727 * 10^-5 m/sec \n" ); document.write( "--- \n" ); document.write( "Solve and graph linear equations: \n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve quadratic equations, quadratic formula: \n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php \n" ); document.write( "--- \n" ); document.write( "Convert fractions, decimals, and percents: \n" ); document.write( "https://sooeet.com/math/fraction-decimal-percent.php \n" ); document.write( "--- \n" ); document.write( "Calculate and graph the linear regression of any data set: \n" ); document.write( "https://sooeet.com/math/linear-regression.php \n" ); document.write( " |