Question

A sump pump (used to drain water from the basement of houses
built below the water table) is draining a flooded basement at the
rate of 0.600 L/s, with an output pressure of 3.50 ✕ 10^{5}
N/m^{2}. You may neglect frictional losses in both parts of
this problem.

(a) The water enters a hose with a 3.00 cm inside diameter and
rises 3.00 m above the pump. What is its pressure (in
N/m^{2}) at this point?

_________ N/m^{2}

(b) The hose goes over the foundation wall, losing 1.30 m in
height, and widens to 4.00 cm diameter. What is the pressure now
(in N/m^{2})?

__________ N/m^{2}

Answer #1

a. Initially y = 0, Finally y = 3 m

velocity will remain constant since there is no change in cross section

therefore, we can calculate P' as

3.5 x 105 Pa = P' + (3*9.8 * 1000)

P' = 329600 Pa.

b.

we can calculate velocity of water

Cross Sectional Area of Pipe = pi * 1.5 * 1.5 = 7.07cm2

Flow Rate = 600 cm3/s

therefore velocity = 600/7.07 = 84.86 cm/s = 0.8486 m/s

final velocity = 0.9194 * (9/16) = 0.4773 m/s

so we get eqn as

329600 + (1/2 * 1000 * (0.84)^2) = P'' - (9.8 * 1000 * 1.3) + (1/2
* 1000 * (0.47)^2)

So we get P'' = 342582 Pa

60. A sump pump (used to drain water from the basement
of houses built below the water table) is draining a flooded
basement at the rate of 0.750 L/s, with an output pressure of
3.00×105N/m2.
(a) The water enters a hose with a 3.00-cm inside
diameter and rises 2.50 m above the pump. What is its pressure at
this point?
(b) The hose goes over the foundation wall, losing
0.500 m in height, and widens to 4.00 cm in diameter....

A sump pump (used to drain water from the basement of houses
built below the water table) is draining a flooded basement at the
rate of 0.65 L/s, with an output pressure of 3.15 × 105 Pa. The
water enters a hose with a 2.9 cm inside diameter and rises 2.1 m
above the pump. What is its pressure at this point, in pascals? You
may neglect frictional losses. The hose then goes over the
foundation wall, losing 0.65 m...

28
A sump pump (used to drain water from the basement of houses
built below the water table) is draining a flooded basement at the
rate of 0.610 L/s, with an output pressure of 2.80×105
N/m2. The water enters a hose with a 2.90–cm inside
diameter and rises 2.70 m above the pump. What is its pressure at
this point?
3.06*10^5 N/m^2
Incorrect.
Tries 2/40
Intentos Anteriores
The hose goes over the foundation wall, losing 0.550 m in
height, and...

(a) What is the pressure drop (in N/m2) due to the Bernoulli
effect as water goes into a 3.50 cm diameter nozzle from a 9.10 cm
diameter fire hose while carrying a flow of 34.0 L/s?
Answer is in unit N/m2
(b) To what maximum height (in m) above the nozzle can this
water rise? (The actual height will be significantly smaller due to
air resistance.)
Answer is in unit m

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