Hose Nozzle
Hose Nozzle
physics help please! cannot figure out this question about the speed of water through nozzle on hose.?
A garden hose of inner diameter 2.2 cm carries water at 2.5 m/s. The nozzle at the end has diameter 0.41 cm. How fast does the water move through the nozzle?
The volume rate of water passing through the nozzle must equal the volume rate of water passing through the hose.
For the hose:
dV/dt = pi*R^2*v
v = 2.5 m/s = 250 cm/s
r = d/2 = 2.2/2 = 1.1
dV/dt = pi*(1.1)^2*250 = 950 cm^3/s
For the nozzle:
r = d/2 = 0.41/2 = 0.205
dV/dt = pi*(0.205)^2*v =
Equate the two.
950 = 0.132*v
v = 7198 cm/s = 71.98 m/s
The water moves through the nozzle at a speed of 71.98 m/s
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Hose Nozzle
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