Question

Water flowing through a 1.3 cm -diameter pipe can fill a 300 L bathtub in 5.6 min . Part A What is the speed of the water in the pipe? show work please.

The gauge pressure at the bottom of a cylinder of liquid is 0.30 atm . The liquid is poured into another cylinder with twice the radius of the first cylinder.

What is the gauge pressure at the bottom of the second cylinder? answer with 2 sig figs.

Answer 1

cross sectional area = (pi/4) * ( 1.3 /100)² = 1.33 * 10^-4 m²

volume = 300 * 0.001 = 0.30 m³

time = 5.6 * 60 = 336 sec

volume / time = cross sectional area * velocity

0.30 / 336 = 1.33 * 10^-4 * v

v = 6.71 m/s

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The volume of a cylinder = area * h

The base area = pi r²

pi * (2 r)² = 4 pi r²

volume of a cylinder = pi r² * h = 4 pi r² * h/4

If height = 1/4, pressure = 1/4

Guage pressure = 0.3 atm / 4

= 0.075 atm