Question

Calculate the work (in joules) required to pump all of the water out of a full tank. The density of water is 1000 kilograms per cubic meter. Assume the tank

(b) is shaped like a horizontal cylinder of radius R and height H where the spout is connected directly to the top of the tank.

Answer #1

Calculate the work (in joules) required to pump all of the water
out of a full tank. The density of water is 1000 kilograms per
cubic meter. Assume the tank
(a) is shaped like an inverted cone of radius 5 meters and
height 10 meters where the spout is connected to a 2 meter tube
extending vertically above the tank.
(b) is shaped like a horizontal cylinder of radius R and height
H where the spout is connected directly to...

A tank is full of water. Find the work required to pump the
water out of the spout. Use the fact that water weighs 62.5
lb/ft3. (Assume a = 6 ft, b = 9 ft,
and c = 10 ft.)

A triangular tank with height 3 meters, width 4 meters and
length 8 meters is full of water. How much
work is required to pump the water out through a spout 2.5 meter
above the top of the tank? (The
density of water is approximately 1000 kg m3 .)

. A conical tank of with radius 5 m and height 10 m is filled
with water. Calculate the work against gravity required to pump
water (with density 1000 kg/m3 ) through a spout of 1 meter in
height located at the top of the tank.

A tank, shaped like a cone has height 99 meter and base radius
11 meter. It is placed so that the circular part is upward. It is
full of water, and we have to pump it all out by a pipe that is
always leveled at the surface of the water. Assume that a cubic
meter of water weighs 10000N, i.e. the density of water is
10000Nm^3. How much work does it require to pump all water out of
the...

Consider a hemispherical tank with a radius of 3 meters that is
resting upright on its curved side. Using 9.8 m/s^2 for the
acceleration due to gravity and 1,000 kg/m^3 as the density of
water, Set up the integral for the work required to pump the water
out of the tank if:
(a) the tank is full of water and it is being pumped out of a
1-meter long vertical spout at the top of the tank.
(b) the tank...

A hemispherical tank of water (radius 10 ft) is being pumped
out. Find the work done in lowering the water level from 2 feet
below the top of the tank to 4 feet below the tank given that the
pump is placed a) at the top of the tank and b) the pump is placed
3 feet above the top of the tank. Clearly indicate how force and
distance are represented and indicate where the 0 position is on
the...

A tank shaped like a cone pointing downward has height 9 feet
and base radius 3 feet, and is full of water. The weight density of
water is 62.4 lb/ft^3. Find the work required to pump all of the
water out over the top of the tank.

A spherical tank of radius 10 meters is completely full of
liquefied petroleum gas. All the petroleum must be used emptied out
of the tank and converted to alkylate. Compute the work needed to
push all the petroleum out of the tank and out a 4 meter spout out
of the top of the sphere. Liquefied petroleum gas has density 495
kg/m^3

(Integration Application) A water tank is shaped like an
inverted cone with a height 2 meters and top radius 6 meters is
full of water. Set up a Riemann Sum and an Integral to model the
work that is required to pump the water to the level of the top of
the tank? No need to integrate here. (Note that density of water is
1000 kg/m3 ).
RIEMANN SUM ______________________________________________
INTEGRAL____________________________________________________
Provide an explanation as to the difference of the...

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