Question

A large cylindrical tank of water of radius 12.0 m is filled to a depth of 3.00 m. A spigot on the tank is a 3.00 cm inner diameter pipe that is located 20.0 cm above the bottom of the tank. If the spigot is opened, what is the speed of the water leaving the spigot?
A 7.41 m/s
B 5.24 m/s
C 3.68 m/s
D 27.5 m/s
E 54.9 m/s

And please write down the working out

Answer 1

okay

Answer 2

draw a pic

Answer 3

That's the best I could do xD

Answer 4

lol

Answer 5

okay so

Answer 6

theres a couple forces to think about here

Answer 7

umm im assuming the tank top is closed so no ATM pressure there to think about

Answer 8

Yup

Answer 9

there is atm pressure at the nozzle to worry about

Answer 10

and then the force due to the depth of the water

Answer 11

the force the water is leaving the tank is going to be the force on the bottom due to the height of the water - the force of the atm at the nozzle which is P_atm * crosssectional area of that pipe

Answer 12

spigot*