Question

(17%) Problem 5: Ano le with a radius of 0.27 cm is attached to a garden hose with a radius of 0.94 cm that is pointed straight up. The flow rate through hose and nozzle is 0.45 L/s. Randomized Variables 0.27 cm = 0.94 cm Q=0.45 LIS TI 50% Part (a) Calculate the maximum height to which water could be squirted with the hose if it emerges from the nozzle in m. h = 19.65 ✓ Correct! 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. h2= Grade Summary cm Deductions 39 Potential 978 HOME sino cos cotano asino atan acotan cosho tanho Degrees t ano acos) E sinh cotanho Radians ( 7 8 4 5 1 2 + - 0 VO BACKSTAGE 9 6 3 . Submissions Attempts remaining: 6 (35 per attempt) detailed view 39 AND Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: deduction per feedback.

Answer 1

velocity of water exiting from nozzle = Q/A

Q = 0.45*10^-3 m^3/s

An = PI*Rn^2 = 2.29*10^-5 m^2

Vn = Q/An = 20.085 m/s

(b) Height achieved by water jet is calculated using kinematic equation V^2 = 2*g*h

h = V^2/2g = 19.67m

if only hose used

Ah = PI*Rh^2 = 2.77*10^-4 m^2

Vh = Q/Ah = 1.621 m/s

Height achieved by water jet is calculated using kinematic equation V^2 = 2*g*h

h = V^2/2g = 0.134 m = 13.4cm