How Long Does It Take to Fill a Tub Using a Hose with Different Diameter Ends?

[Alt+F4]

Help me with this fluid Problem ASAP Please :)

A long horizontal hose of diameter 3.2 cm is connected to a faucet. At the other end, there is a nozzle of diameter 1.8 cm. Water squirts from the nozzle at velocity 16 m/sec. Assume that the water has no viscosity or other form of energy dissipation.


Okay so How long will it take to fill a tub of volume 110 liters with the hose ?

I got the flow rate which is 16.277 liter, 110/162.77 = 6.75 why isn't this the asnwer

 

[Cyrus]

Can you show some work?

$$\dot {m} = \rho \dot{ V_{avg}} A_c$$

This is a steady state nozzle.

 

[Alt+F4]

o you what did was

((1.8)/ (100))^2 * 3.14 * 16 = .016277 M^3/S = Flow rate

I then converted it to Liters by multiplying 1000

 

[Cyrus]

Area of a cross section is $$\pi \frac{d^2}{4}$$

Why did the problem give you the initial diameter? Are you sure this is how the problem is worded?

 

[Alt+F4]

yep exactly, i copied and pasted from online HW, o you intial diameter was for another part i needed to find Velcotit which i did

 

[Cyrus]

What? You found the inital diameter in another part? Can you post the original problem. I have no clue what is what anymore .

 

[Alt+F4]

sorry one more problem,

A rectangular block of ice 14 m on each side and 0.5 m thick floats in seawater. The density of the seawater is 1025 kg/m3. The density of ice is 917 kg/m3.

a) How high does the top of the ice block float above the water level?

Okay so i know Fb=pgVdis

pwatergVdis = picegVdis

(1025)(9.8)(14*1.1*14)+ (x)(m*g) = 917*9.8*X



What Am i missing, thanks so much

 

[Alt+F4]

What? You found the inital diameter in another part? Can you post the original problem. I have no clue what is what anymore .

i got the problem, thanks a lot i guess i didnt know what the area of a cross section is since all it says on formula sheet is the area of circle.