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10) Water flowing through a garden hose of diameter 2.79 cm fills a 24.0-L bucke

ID: 1619056 • Letter: 1

Question

10) Water flowing through a garden hose of diameter 2.79 cm fills a 24.0-L bucket in 1.15 min.

(a) What is the speed of the water leaving the end of the hose?
  m/s
(b) A nozzle is now attached to the end of the hose. If the nozzle diameter is one-third the diameter of the hose, what is the speed of the water leaving the nozzle?
m/s

(a) Calculate the smaller section's flow speed. (Enter your answer to at least two decimal places.)

m/s

(b) Calculate the smaller section's pressure.
Pa

(a) Calculate the change in volume of 1.00 m3 of water carried from the surface to the bottom of the Pacific.

Explanation / Answer

(10)

formula for flow rate is

Q= A hose v hose

v hose = Q/A hose

= V/ t pi ( D/2)^2

= 24000 /1.15 (60) (pi ( 2.79/2 )^2

=56.92 cm/s

= 0.5692 m/s

(b)

Apply equation of continuity

A1 v1 = A2 v2

pi ( d/3)^2 v2 = pi d^2 ( 0.5692)

v2 = 0.5692 ( 9)

=5.12 m/s

As per guide lines I worked first question, please post remaining questions in the next post