Question 203930
(1 m3/4 min)(100 cm x 100 cm x 100 cm/m3)(1 min/60 sec)
which equals
(1 m3/4 min)(10^6 cm3/m3)(1 min/60 sec)
note that min cancel and m3 cancel, so for units,
I'm left with (cm3/sec)
Doing the math:
{{{(1/4)*10^6 *(1/60) = 10^6/240}}}
{{{10^6/240 = 4166.667}}}
Now the question to ask is: what length of pipe in cm of
radius 1.5 cm passes this volume of water in 1 sec?
The cross-sectional area of the pipe is:
{{{pi*1.5^2 = 7.0686}}}
Let {{{l}}}= length of pipe needed
{{{7.0686*l = 4166.667}}}
{{{l = 589.461}}}
The speed of the water through the pipe is 589.461 cm/s
(unless I goofed)