Water flows at the rate of 2.77 kg/sthrough a hose with a diameter of 2.50 cm. (

Question

Water flows at the rate of 2.77 kg/sthrough a hose with a diameter of 2.50 cm. (a) What is the speed of water in thishose?
m/s
(b) If the hose is attached to a nozzle with a diameter of 0.750cm, what is the speed of water in the nozzle?
m/s
(c) Is the number of kilograms per second flowing through thenozzle greater than, less than, or equal to 2.77 kg/s?
(a) What is the speed of water in thishose?
m/s
(b) If the hose is attached to a nozzle with a diameter of 0.750cm, what is the speed of water in the nozzle?
m/s
(c) Is the number of kilograms per second flowing through thenozzle greater than, less than, or equal to 2.77 kg/s?

Explanation / Answer

(a)         m /t = A v       speed (v) =    m / t   * 1/ A                           =      m / t   * ( 4/ D2 )                           = 2.77 * ( 4 / 1000 * 3.14 * (0.025)2)                           = 5.645 m/ s (b)          We have:                       A1 v1 = A2 v2           In terms of Diameter :    v2 = (D1 / D2 )2 * v1                                                      = ( 2.50 / 0.750)2 * 5.645                                                      = 62.72 m /s (c)         It is Equal. Hope this helps u!

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