What is the Speed of Water Supplied from a Tank to a Main?

[fysics4fun]

Homework Statement

A very large open water tank has a 50 cm diameter output pipe connected 10 m above the water main which is 6 cm in diameter. If the gauge pressure in the water main reads 9.8 E4 Pa what is the speed at whic the water is supplied?

Homework Equations

Bernoulli's equation and maybe flow rate Av = constant

The Attempt at a Solution

When I use these two equations in combination, I never get the answer I'm supposed to get, 0.5 m/s

 

[iRaid]

I think you can use P₁ + \rhoVg + \frac{1}{2}\rhoV₁² = P₂ + \rhoVg + \frac{1}{2}\rhoV₂²Also this isn't "advanced" :p

 

[fysics4fun]

I didn't think it was advanced either, until I couldn't get the right answer. ..I thought there was an "advanced" answer to what seemed like a simple question :P

Sorry to waste your time.

But I already knew which equation to use, so this doesn't help. Can someone please tell me the actual numbers to plug in? For example, if I use Av constant to put v1 in terms of v2 and solve for v2, it doesn't give me the desired answer of 0.5 m/s. I can't see what I'm doing wrong and I need a fresh perspective.