Final unit of measurement in a calculation?

Question

Can someone please advise me the correct final unit of measurement should be in the following simple calculation?

Velocity = volume per unit time/cross sectional area.

Volume per unit time = 10.08 litres per minute = 10080 millilitres per minute. 10080/60 = 168 millilitres per second.

Cross sectional area = pi radius sqared. (pi is rounded to 3 for simplicity) = 3 x 1cm sqaured = 3 cm sqared.

Velocity therefore = 168 millilitres per second (or cubic cm per second)/3 cm squared = 56..... but 56 what? 56 cm per second?

Answer 1

yes...cm / sec is correct !!!

fluid flow rate could be calculated by using the [ volume / unit time ] = ( cm^3 ) /min , or ( cm^3) / sec ....

I think your volume conversion to cm^3 are correct....and your time conversion is correct ...

Then divide by the cross sectional area it travels thru in , cm^2

thus ( cm^3 / sec ) / ( cm^2) = cm /sec

Answer 2

What you are calling velocity looks more like a term referred to as "flux". For example, you could measure the flow of water through a pipe in these terms.

So in 1 second, you would have 10,080 millilitres per minute divided by 60 seconds per minute flowing through a cross sectional area of 3cm^2.

Flux is then [10,080 ml/min / 60 (s/min)] / 3 cm^2

Flux = [10,080/(3*60)] ml/s / cm^2

Flux = 56 ml per s per cm^2 or ml*cm^2/s

Or in words, the flow is 56 millilitres through every cm^2 of cross sectional area each second.

Does this make more sense?

Answer 3

Volume is distance ^3
Area is distance ^2

velocity = [distance ^3/time]/(distance ^2)

velocity = distance/time

for your problem

velocity=168cm^3/s / 3cm^2

velocity = 56 cm/s

Answer 4

Hi. Sorry but none of your expressions make mathematical sense.