document.write( "Question 608959: Could someone check my answer for this one-
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document.write( "The formula for measuring drag force on a car is Fd=1/2pv^2ACd where Fd is the drag force measured in Newtons, p is density, v is velocity, A is area and Cd is the drag coefficient. Assuming that all the factors are measured in SI units, what units should Cd have to make the formula dimensionally homogeneous?^\r
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document.write( "Fd=kgm/s^2
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document.write( "p=kg/m^3
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document.write( "v=m/s
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document.write( "A=m^2
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document.write( "Cd=?\r
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document.write( "Therefore kg*m/s^2 / 1/2*kg/m^3*m/s*m^2
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document.write( "Cancelling the kg and m^2 and m^3
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document.write( "Seem to leave m / s * 1/2
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document.write( "Does this mean Cd has no units or could I inverse 1/2 and 1/s to make m^s2
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Algebra.Com's Answer #383437 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! The formula for measuring drag force on a car is Fd=1/2pv^2ACd where Fd is the drag force measured in Newtons, p is density, v is velocity, A is area and Cd is the drag coefficient. Assuming that all the factors are measured in SI units, what units should Cd have to make the formula dimensionally homogeneous?^\r \n" ); document.write( "\n" ); document.write( "Fd=kgm/s^2 \n" ); document.write( "p=kg/m^3 \n" ); document.write( "v=m/s \n" ); document.write( "A=m^2 \n" ); document.write( "Cd=?\r \n" ); document.write( "\n" ); document.write( "Therefore kg*m/s^2 / (1/2*kg/m^3*m/s*m^2) *** It's v^2\r \n" ); document.write( "\n" ); document.write( "Cd = 2 no units \n" ); document.write( "----------------- \n" ); document.write( "Cancelling the kg and m^2 and m^3 \n" ); document.write( "Seem to leave m / s * 1/2 \n" ); document.write( "Does this mean Cd has no units or could I inverse 1/2 and 1/s to make m^s2 \n" ); document.write( " \n" ); document.write( " |