document.write( "Question 456179: A special vehicle for traveling on glacial ice has tires that are 4.8 ft in diameter. If the vehicle travels at 3.5 mi/h, what is the angular velocity (in r/min) of the tire? \n" ); document.write( "
Algebra.Com's Answer #313571 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! A special vehicle for traveling on glacial ice has tires that are 4.8 ft in diameter. If the vehicle travels at 3.5 mi/h, what is the angular velocity (in r/min) of the tire? \n" ); document.write( ".. \n" ); document.write( "Using quantitative analysis method:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(3.5 mi/hr)*(rev/4.8π ft)*(2π rad/rev*(5280 ft/mi)*(hr/60min) \n" ); document.write( "all units and π cancel out except rad/min \n" ); document.write( "=(3.5*2*5280)/(4.8*60) rad/min \n" ); document.write( "=128.33 rad/min (ans) \n" ); document.write( ".. \n" ); document.write( "factors (ratios) used: \n" ); document.write( "rev/circumference=rev/π*diameter=rev/4.8π ft \n" ); document.write( "2π rad/rev \n" ); document.write( "5280 ft/mi \n" ); document.write( "hr/60 min \n" ); document.write( " |