Water flow speed through a pipe

[Capncanada]

Homework Statement

Water flows through a 1.3 cm diameter pipe into a 295 L bathtub, which it fills in 5 min.

What is the speed of the water in the pipe?

Homework Equations

V_in=v_L*t*A_L (Equation I got in my class lecture, I think its a variation of bernoulli's.)

The Attempt at a Solution

Solved for v_L in that equation, but that's not correct.

 

[SteamKing]

Did you check your units? You are given liters, cm, and minutes. What units are used for velocity?

 

[zgozvrm]

Clearly, the speed of the water in the pipe was
$$\frac{295\ \ell}{5\ min} = 59\ \ell/min$$

But, I'm guessing you're looking for linear speed, not volumetric speed? (something along the line of 5 cm/sec, for instance).

 

[RTW69]

Actually 59 l/min is the volumetric flow rate which will equal velocity * cross sectional area of pipe. To make the units turn out correctly you will need to convert liters to cubic meters