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Alex Wiseman
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Homework Statement
A garden hose is used to fill a large metal container which can hold 24.0 L of liquid. If the radius of the garden hose's nozzle is 1.2 cm, and the speed of the water at this point is 272.0 cm/s, how long (in seconds) would it take to fill the container with water, assuming that none of it splashes out?
Hint: Use the fact that 1 L = 1000 cm3
Placing all relevant data in SI;
24L = 24,000cm3
= 0.024m3
V = 272cm/s
= 2.72 m/s
Homework Equations
ΔV/Δt = Av
Δt = ΔV/Av
The Attempt at a Solution
ΔV(metal container) = 0.024m 3
Δt = ?
A(nozzle) = ∏(0.012)2 = 0.00045m2
v(water) = 2.72m/s
Δt = ΔV/Av
Δt = 0.024/(0.00045)*(2.72)
Δt = 19.6s
Now that I've figured it out, I suppose this doesn't really belong in advanced physics - even though it is part of my undergraduate.
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