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 1.1
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.)
1. A house is 42.0 ft long and 38.0 ft wide and has 8.0-ft-high
ceilings. What is the volume of the interior of the house in cubic
meters and cubic centimeters?
_________ m^3
_________ cm^3
2. An auditorium measures 45.0 m ✕ 30.0 m ✕ 7.0 m. The density
of air is 1.20 kg/m3.
(a) What is the volume of the room in cubic feet?
_________ ft^3
(b) What is the weight of air in the room in pounds?
_________...
A trapezoidal tough is 10 ft long, 4 ft wide at the top, 2 ft
wide at the bottom and 2 ft deep. If water flows in the 10 ft^3/
min, find how fast the surface is rising, when the water is 6 in
deep. How fast the water surface is rising when the water is 1 foot
deep.
A rectangular swimming pool is 5 ft deep, 10 ft wide, and 15 ft
long. The pool is filled with water to 1 ft below the
top. If the weight density of water is 62.4 lb /
ft3 and if x = 0 corresponds to the bottom of
the tank, then which of the following represents the work done (in
ft-lb) in pumping all the water into a drain at the top edge of the
pool?
A square plot of land has a building 70 ft long and 60 ft wide
at one corner. The rest of the land outside the building forms a
parking lot. If the parking lot has area 10,200 ft2, what are the
dimensions of the entire plot of land?
A wire 370 in. long is cut into two pieces. One piece is formed
into a square and the other into a circle. If the two figures have
the same area, what...
If the slab is 21 ft wide x 36 ft long x 15 inches deep with the
total steel reinforcement of 20,000 ft of #5 bar. Find the quantity
of concrete required (in cubic yards). The capacity of concrete
truck is 9 cubic yards. Assume waste factor as 10%. Density of
steel is 490 lbs/cubic feet.
(a) Calculate Slab Volume:
(b)Calculate Steel Volume and Weight:
(c) Calculate concrete Volume:
Problem 2 : If the slab is 25 ft wide x 50 ft long x 18 inches
deep with the total steel reinforcement of 15,000 ft of #5 bar.
Find the quantity of concrete required (in cubic yards). The
capacity of concrete truck is 9 cubic yards. Assume waste factor as
10%. Density of steel is 490 lbs/cubic feet.
Problem 3 : If the slab is 75 ft wide x 100 ft long x 9 inches
deep with the total...
You are analyzing a 40 FT long simply supported beam (b = 10 IN,
d = 21.5 IN, h = 24 IN) in an existing building. The dead load on
this beam is 1.2 KLF and you are tasked with deciding whether a
load of 2 KLF of live load can be applied in addition. Based on the
original plans, you think that the compressive strength of the
concrete f’c = 3000 PSI and the yield strength of the rebar...
A swimming pool is 20ft wide and 40 feet long and its bottom is
an inclined plane, the shallow end having a depth of 3 ft and the
deep end 12 ft.
If the pool is full of water, find the hydrostatic force on (a)
the shallow end side, (b) the deep end side, (c) the side of the
pool, and (d) the bottom of the pool.
A 10 ft long double pipe heat exchanger consisting of a 1 in sch
40 (1.315 in OD, 1.029 in ID) inner pipe within a 4 in sch 40
(3.998 in ID) outer pipe uses chilled water to cool hot glycerin
(the water flows in the annulus and glycerin in the inner pipe).
The pipes are constructed of AISI 302 stainless steel. The mean
velocities of the water and glycerin are 4 ft/s and 1.3 ft/s,
respectively. If the average...