Question

A trough is filled with a liquid of density 885 kg/m3. The ends of the trough are equilateral triangles with sides 6 m long and vertex at the bottom. Find the hydrostatic force on one end of the trough. (Use 9.8 m/s2 for the acceleration due to gravity.)

Answer #1

The ends of a trough are isoceles trapezoids. The top of the
trough is 5m across and the bottom is 1m; it is 2m deep. If the
trough is filled to 1m with water, what is the hydrostatic force
due to the water pressure on one end of the trough?

A tank is 6 m long, 4 m wide, 4 m high, and contains kerosene
with density 820 kg/m3 to a depth of 3.5 m. (Use 9.8 m/s2 for the
acceleration due to gravity.)
(c) Find the hydrostatic force on one end of the tank.

A tank is filled with liquid of density 1000 [kg/m3 ]. Its shape
is obtained by rotating the curve y =√x, 0 ≤ x ≤ 4, around the
y-axis. Find the work that is required to pump all the liquid out
of the tank, from the top of the tank. All the lengths are in units
of meter [m]. Do not forget to use gravitational constant g =
9.8[m/s2 ].

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 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 vertical dam has a semicircular gate as shown in the figure.
The total depth d of the figure is 42 m, the height
h of air above the water level is 6 m, and the width
w of the gate is 8 m. Find the hydrostatic force against
the gate. (Round your answer to the nearest whole number. Use 9.8
m/s2 for the acceleration due to gravity. Recall that
the weight density of water is 1000 kg/m3.)

A liquid of density 1394 kg/m3 flows with speed 2.48 m/s into a
pipe of diameter 0.21 m . The diameter of the pipe decreases to
0.05 m at its exit end. The exit end of the pipe is 5.43 m lower
than the entrance of the pipe, and the pressure at the exit of the
pipe is 1.5 atm. Applying Bernoulli’s principle, what is the
pressure P1 at the entrance end of the pipe? Assume the viscosity
of the...

Determine the gravitational potential energy, in kJ, of 3
m3 of liquid water at an elevation of 30 m above the
surface of Earth. The acceleration of gravity is constant at 9.7
m/s2 and the density of the water is uniform at 1000
kg/m3. Determine the change in gravitational potential
energy if the elevation decreases by 15 m.
A. Determine the gravitational potential energy, in kJ, of 3
m3 of liquid water at an elevation of 30 m above the...

An object made of a metal alloy with a density of 7850 kg / m^3
feels 300 N lighter when lifted in water. Use a water density value
of 1000 kg / m3 and an acceleration due to the gravity of 9.8 m /
s^2.
a. What is the volume of the object in m3?
b. What is the weight of the object in air in N?

A uniform, wooden cube with length d = 3.0 cm on each
side has a density r = 500 kg/m3 and floats
motionlessly in water (density 1000 kg/m3). (Take the
acceleration due to gravity to be 9.8 m/s2.) When
pressed down by a small amount, and released, what is the
approximate frequency of the resulting up-and-down
oscillations?

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