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| Grade Summary Submissions A nozzle with a radius of 0.28 cm is attached to a g

ID: 1402186 • Letter: #

Question

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Grade Summary

Submissions

A nozzle with a radius of 0.28 cm is attached to a garden hose with a radius of 0.89 cm. The flow rate through hose and nozzle is 0.5 L/s.

Randomized Variablesrn = 0.28 cm
rh = 0.89 cm
Q = 0.5 L/s 50% Part (a) Calculate the maximum height to which water could be squirted with the hose if it emerges from the nozzle in m. h2 =

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Grade Summary

Deductions 0% Potential 100%

Submissions

Attempts remaining: 5(0% per attempt) detailed view Hints: 1% deduction per hint. Hints remaining: 4 Feedback: 1% deduction per feedback. 50% Part (b) Calculate the maximum height (in cm) to which water could be squirted with the hose if it emerges with the nozzle removed, assuming the same flow rate.

Explanation / Answer

a) Flow rate = cross section area * water speed

0.5 x 10^-3 m^3 / s = pi x (0.28 x 10^-2 )^2 x u

u = 20.30 m/s

Using

v^2 - u ^2 = 2aH

0^2 - 20.30^2 =2 x -9.81 x H

H = 21 m

b) Flow rate = cross section area * water speed

0.5 x 10^-3 m^3 / s = pi x (0.89 x 10^-2 )^2 x u

u = 2 m/s

Using

v^2 - u ^2 = 2aH

0^2 - 2^2 =2 x -9.81 x H

H = 0.204 m