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A pool is to be filled with 60 m3 water from a garden hose of 2.5 cm diameter flowing water at 2 m/s. Find the mass flow rate of water and the time it takes to fill the pool

Respuesta :

samuelonum1

Answer:

Time= 6.12*10^4s

mass flow rate m=0.98kg/s

Explanation:

Given

Volume= 60m^3

diamter= 2.5cm= 0.025m

radius= 0.0125m

area A= πr^2

area A= 3.142*0.0125^2

area A= 4.9*10^-4m^2

the velocity of the flow 2m/s

volume flow rate

V=vA

V=2* 4.9*10^-4

V=9.82*10^-4 m^3/s

Time taken to fill the pool

time= volume/volume flow rate

time= 60/9.82*10^-4

time= 6.12*10^4s

Mass flow rate

m= density *volume flow rate

Assuming the density of water to be 997kg/m^3

m= 997*9.82*10^-4

m=0.98kg/s

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