document.write( "Question 937869: Suppose you can ride a bicycle a distance of 5 miles in 15 minutes. If you ride at a constant speed and if the bicycle's wheels have diameter 27 inches, find the wheels' approximate rate of turn (in revolutions per minute) \n" ); document.write( "
Algebra.Com's Answer #571273 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! linear speed of bike: \n" ); document.write( "s = linear speed \n" ); document.write( "d = distance \n" ); document.write( "t = time \n" ); document.write( "s = d/t \n" ); document.write( "s = 5/15 \n" ); document.write( "s = (1/3) mile/minute \n" ); document.write( "s = (1/3) mile/minute * (5280 ft/mile) * (12 inches/ft) \n" ); document.write( "s = 21120 inches/minute \n" ); document.write( "--- \n" ); document.write( "wheel parameters: \n" ); document.write( "c = circumference \n" ); document.write( "r = radius \n" ); document.write( "d = diameter \n" ); document.write( "c = 2*pi*r \n" ); document.write( "c = pi*d \n" ); document.write( "c = 3.1415*27 \n" ); document.write( "c = 84.8230016469 inches \n" ); document.write( "note that one revolution = c arc length along the road \n" ); document.write( "--- \n" ); document.write( "angular speed of wheel (rate of turn): \n" ); document.write( "rpm = s/c \n" ); document.write( "rpm = (21120 inches/minute) / (84.8230016469 inches) \n" ); document.write( "rpm = 248.989066526 \n" ); document.write( "--- \n" ); document.write( "answer: \n" ); document.write( "249 rev/minute \n" ); document.write( "--- \n" ); document.write( "Free algebra tutoring live chat: \n" ); document.write( "https://sooeet.com/chat.php?gn=algebra \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 with quadratic formula: \n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve systems of linear equations up to 6-equations 6-variables: \n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( "--- \n" ); document.write( " |