Question

Problem 3: A nozzle with a radius of 0.16 cm is attached to a garden hose with a radius of 0.91 cm that is pointed straight up. The flow rate through hose and nozzle is 0.55 L / s.

Randomized Variables

rn=0.16 cm

rh=0.91 cm

Q=0.55 L / s

Part (a) Calculate the maximum height to which water could be squirted with the hose if it emerges from the nozzle in m.

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.

Answer 1

flow rate = 0.558 103 mis flow rate = AX Velocity Velocity at hole = 9 Area Area = T (0.91x10272 59.54 X10 4 V = 0.55x10-3 2.54 xlor 20 17 ms Vi= h = V² = 0.24 m Velocity at nozzle = - Area Area = AX (0.168 1622 = 8.04 x 10-6 Velocity in 66.90 mis hi 23 8.75m 1 h = 0.29