Question

A trough is 10 meters long, 3 meters wide, and 4 meters deep. The vertical cross-section of the trough parallel to an end is shaped like an isosceles triangle (with height 4 meters, and base, on top, of length 3 meters). The trough is full of water (density 1000kg/m^3). Find the amount of work in joules required to empty the trough by pumping the water over the top. (Note: Use g=9.8ms^2 as the acceleration due to gravity.)

Answer #1

A trough is 9 meters long, 2 meters wide, and 3 meters deep.
The vertical cross-section of the trough parallel to an end is
shaped like an isoceles triangle (with height 3 meters, and base,
on top, of length 2 meters). The trough is full of water (density
1000
kg
m
3
1000
kg
m
3
). Find the amount of work in joules required to empty the
trough by pumping the water over the top. (Note: Use
g
=...

a trough 9 m long, 2 m wide, 1m deep. vertical crosssection of
the parallele to end is shaped like an isoceles triangle( height
1m, base and top, of lenght 2m) the trough denity 1000kg/m^3. Find
work in joules require to empty out the trough by pumping the water
over the top. g=9.8

(1 point) A trough is 6 feet long and 1 foot high. The vertical
cross-section of the trough parallel to an end is shaped like the
graph of ?=?6y=x6 from ?=−1x=−1 to ?=1x=1 . The trough is full of
water. Find the amount of work in foot-pounds required to empty the
trough by pumping the water over the top. Note: The weight of water
is 6262 pounds per cubic foot.

A water trough is 10 m long and has a cross-section in the shape
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wide at the top, and has height 60 cm. If the trough is being
filled with water at the rate of 0.2 m3/min how fast is
the water level rising when the water is 30 cm deep?

A water trough is 9 feet long, and its cross section is an
equilateral triangle with sides 4 feet long. Water is pumped into
the trough at a rate of 2 cubic feet per second. How fast is the
water level rising when the depth of the water is 1/2 foot?
( Hint: First, what is the height h of an equilateral
triangle of side length s? Next, what is the area of an equilateral
triangle in terms of the...

i. A trough is 12 ft long and its ends have the shape of
isosceles triangles that are 3 ft across at the top and have a
height of 1 ft. If the trough is being filled with water at a rate
of 8 ft3/min, how fast is the water level rising when
the water is 5 inches deep?
ii. y = 5x3+2x, dx/dt = 4, find dy/dt
when x = 2

1. A trough in the shape of a box holds water, with base
dimensions 10 feet long by 4 feet wide. The water level starts 7
feet high in this box, and there is a circular hole in the bottom
of the box with radius 2 inches. Assume that time, t, represents
seconds from when it was filled to exactly 7 feet high, and let y
represent the current height of the water in the trough.
a. What is the...

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 triangular plate with base 6 m and height 2 m is submerged
vertically in water such that the highest vertex of the plate is 4
meters below the surface and the base is horizontal to the
surface.
4 m ( from water surface to top of triangle )
6 m ( triangle width )
2 m (triangle height )
Express the hydrostatic force against one side of the plate as
an integral and evaluate it. (Round your answer to...

A swimming pool is 20 ft wide, 40 ft long, 3 ft deep at the
shallow end, and 9 ft deep at is deepest point. A cross-section is
shown in the figure. If the pool is being filled at a rate of 0.8
ft3/min, how fast is the water level rising when the depth at the
deepest point is 5 ft? (Round your answer to five decimal
places.)

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