Question

PLEASE HELP WITH A AND B!!? ill rate

A nozzle with a radius of .27 cm is attached to a garden hose with a radius of .85 cm that is pointed straight up. The flow rate through hose and nozzle is .35 l/s. calculate the maximum height to which water could be squirted with the hose is it emerges from the nozzle in meters

(1795) Problem 5: A nozzle with a radius of 0.77 cm is attached to a garden hose with a radius of 0.85 cm that is pointed straight up. The flow rate through hose and nozzle is 0.35L/s. Randomized Variables T= 0.27 cm =0.85 cm Q=0.35 Ls stus Weted Heted leted leted PA 50% Part (a) Calculate the maximum height to which water could be squirted with the hose if it emerges from the nozzle in m. Grade Summary Deductions Potential 100% sin() cos t an cotan a sino acoso atan acotan sinho sinh() Cosh() | tanh) | Coanh) Degrees Radians Submissions Attempts remaining: 2 (35 per attempt) detailed view 1 2 3 I give up! Hints: 0 deduction per hint. Hints remaining: 4 Feedback: 15 deduction per feedback. 50% Part (6) 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

Velocity, v = F/A = F/pi r^2

v = (0.35 x 1000)/(pi x 0.27^2) = 1528.24 cm/s = 15.28 m/s

A)

Using law of conservation of energy,

0.5 mv^2 = mgh

Height, h = v^2/2g

h = 15.28^2/(2 x 9.8) = 11.92 m

B)

v = (0.35 x 1000)/(pi x 0.85^2) = 1.54 m/s

h = 1.54^2/(2 x 9.8) = 0.12 m = 12.13 cm

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