Question

In: Math

A water trough is 8 m long and has a cross-section in the shape of an...

A water trough is 8 m long and has a cross-section in the shape of an isosceles trapezoid that is 30 cm wide at the bottom, 70 cm wide at the top, and has height 40 cm. If the trough is being filled with water at the rate of 0.3 m3/min how fast is the water level rising when the water is 20 cm deep?

Solutions

Expert Solution

We know formula

Area of trapezium =

(1/2) * ( sum of parallel sides) * height

milcah answered 2 years ago
Next > < Previous

Related Solutions

A water trough is 8 m long and has a cross-section in the shape of an...
A water trough is 8 m long and has a cross-section in the shape of an isosceles trapezoid that is 30 cm wide at the bottom, 80 cm wide at the top, and has height 50 cm. If the trough is being filled with water at the rate of 0.1 m3/min how fast is the water level rising when the water is 40 cm deep?
A trough is 11m long, 5m wide, and 3m deep. The vertical cross-section of the trough...
A trough is 11m long, 5m wide, and 3m deep. The vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 3m, and base, on top, of length 5m). The trough is full of water (density 1000kg/m3 and g=9.8m/s2 is the acceleration due to gravity). a) Find the amount of work in joules required to empty the trough by pumping the water over the top. b) Find the amount of work in joules...
An 8-m-long, uninsulated square duct of cross section 0.2 m X 0.2 m and relative roughness...
An 8-m-long, uninsulated square duct of cross section 0.2 m X 0.2 m and relative roughness 10-3 passes through the attic space of a house. Hot air enters the duct at 1 atm and 91oC at a volume flow rate of 0.15 m3/s. The duct surface is nearly isothermal at 60oC. Determine the rate of heat loss from the duct to the attic space and the pressure difference between the inlet and outlet sections of the duct. Evaluate air properties...
An aluminum rod with a square cross section is 1.2 m long and 5.0 mm on...
An aluminum rod with a square cross section is 1.2 m long and 5.0 mm on edge. (a) What is the resistance between its ends? (b) What must be the diameter of a cylindrical copper rod of length 1.2 m if its resistance is to be the same as that of the aluminum rod? The resistivity of aluminum is 2.75 × 10-8 Ω·m and the resistivity of copper is 1.69 × 10-8 Ω·m.
A beam with a cross-section of 0.3 m x 0.7 m has an effective depth of...
A beam with a cross-section of 0.3 m x 0.7 m has an effective depth of 0.638 m and a span of 4.30 m. Use the following data below to determine (a) the steel requirement due to flexure, (b) ultimate threshold torsion, and (c) spacing of stirrup due to combined shear and torsion: Mu = 322 KN-m Vu = 317 KN Tu = 42 KN-m f'c =28 MPa fyt = 414 MPa 12 mm stirrup diameter cover of 0.04 m
The​ cross-section of a nuclear power​ plant's cooling tower is in the shape of a hyperbola....
The​ cross-section of a nuclear power​ plant's cooling tower is in the shape of a hyperbola. Suppose the tower has a base diameter of 156 meters and the diameter at its narrowest​ point, 48 meters above the​ ground, is 52 meters. If the diameter at the top of the tower is 104 ​meters, how tall is the​ tower? The tower is about ___ meters tall.
For three shapes of cross-section, A, B and C, such that the respective shape factors are...
For three shapes of cross-section, A, B and C, such that the respective shape factors are kA > kB > kC, identify which statement is true for moment capacity: Select one: Shape C is most efficient Shape A is most efficient None All three shapes are equally efficient
A long conducting pipe has a rectangular cross section with sides of lengths a and b....
A long conducting pipe has a rectangular cross section with sides of lengths a and b. One face of the pipe is maintained at a constant potential V = V0 while the other 3 faces are grounded (V = 0). Using separation of variables, find the potential for points inside the pipe V (x,y).
A 4-m-high and 6-m-wide wall consists of a long 18x30 cm2 cross section of horizontal bricks...
A 4-m-high and 6-m-wide wall consists of a long 18x30 cm2 cross section of horizontal bricks (K=0.72W/mC) separated by 3-cm-thick plaster layer (K=0.22W/mC). There are also 2-cm-thick plaster layers on each side of the wall, and a 2-cm-thick rigid form (K=0.026W/mC) on the inner side of the wall. The indoor and outdoor temperatures are 22C and -4 C, and the combined convection and radiation heat transfer coefficients on the inner and outer walls are 10W/m2C and 20W/m2C, respectively. Determine the...
A cowboy at a dude ranch fills a horse trough that is 1.5 m long, 70...
A cowboy at a dude ranch fills a horse trough that is 1.5 m long, 70 cm wide, and 35 cm deep. He uses a 2.1 cm diameter hose from which water emerges at 1.6 m/s. How long does it take him to fill the trough?
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT