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joja
2 months ago
8

Can a 1½ " conduit, with a total area of 2.04 square inches, be filled with wires that total 0.93 square inches if the maximum f

ill for that conduit is 40%?
Engineering
1 answer:
Kisachek [356]2 months ago
4 0
It is not feasible to install the wires within the conduit. Explanation: The given dimensions show that the total area is 2.04 square inches while the wires occupy 0.93 square inches. The maximum allowable fill for the conduit is 40%. To determine if placement is possible, compute the conduit’s area at 40% which equates to 0.816 square inches, less than the required area of the wires.
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Given a 5x5 matrix for Playfair cipher a. How many possible keys does the Playfair cipher have? Ignore the fact that some keys m
alex41 [359]

Answer:

a. 25! = 2^{84}(Approximately)

b. 24!

Explanation:

a. In a Playfair cipher, there are 25 keys available because it is structured in a 5 * 4 grid. By using permutations to enumerate all potential configurations, we derive: 25! = 1.551121004×10²⁵ = 2^{84}

Although there are 26 letters available, in the Playfair cipher, the letters 'i' and 'j' are treated as a single letter.

b. Considering any configuration of 5x5, each of the four row shifts yields equivalent configurations, amounting to five total equivalencies. Similarly, for each of these five setups, any of the four column shifts also results in equivalent arrangements. Therefore, each configuration corresponds to 25 equivalent arrangements. Consequently, the total count of distinct keys can be expressed as:

25!/25 = 24! = 6.204484017×10²³

6 0
1 month ago
The rigid beam is supported by a pin at C and an A992 steel guy wire AB of length 6 ft. If the wire has a diameter of 0.2 in., d
Mrrafil [318]

Answer:

Change in length = 0.0913 in

Explanation:

Given data:

Length = 6 ft

Diameter = 0.2 in

Load w = 200 lb/ft

Solution:

We start by applying the equilibrium moment about point C, expressed as

∑M(c) = 0.............1

This can be used to find the force in AB.

10× 200 × ( 5) - (T cos(30)) × 10 = 0

Solving gives us

Tension in wire T(AB) = 1154.7 lb

We also know the modulus of elasticity for A992 is

E = 29000 ksi

And the area will be

Area = \frac{\pi }{4}\times 0.2^2

The change in length is expressed as

Change in length = \frac{PL}{AE}.........2

Substituting values results in

Change in length = \frac{1154.7 \times 6 \times 12}{\frac{\pi }{4}\times 0.2^2 \times 29000 \times 1000}

Change in length = 0.0913 in

8 0
2 months ago
The uniform dresser has a weight of 90 lb and rests on a tile floor for which the coefficient of static friction is 0.25. If the
Kisachek [356]

Answer:

a) F = 736.065\,lbf, b) \mu_{k} = 0.15

Explanation:

a) The uniform dresser can be modeled using specific equilibrium equations:

\Sigma F_{x} = F - \mu_{k}\cdot N = 0

\Sigma F_{y} = N-m\cdot g=0

Following some algebraic manipulations, the formulated equation is derived:

F = \mu_{k}\cdot m \cdot g

F = (0.25)\cdot (90\,lbm)\cdot (32.714\,\frac{ft}{s^{2}} )

F = 22.5\,lbf

b) Similarly, the man can be represented by a set of equilibrium equations:

\Sigma F_{x} = -F + \mu_{k}\cdot N = 0

\Sigma F_{y} = N-m\cdot g=0

After some algebraic changes, the expression for the coefficient of static friction comes out as:

\mu_{k} = \frac{F}{m\cdot g}

\mu_{k} = \frac{22.5\,lbf}{150\,lbf}

\mu_{k} = 0.15

3 0
2 months ago
1) Relative to electrons and electron states, what does each of the four quantum numbers specify?
Mrrafil [318]
Cite two significant refinements that emerged from the Wave-mechanical

atomic model.

4 0
1 month ago
The components of an electronic system dissipating 90 W are located in a 1-m-long circular horizontal duct of 15-cm diameter. Th
iogann1982 [368]

Answer:

Provided information

 an electronic system dissipating = 90 W

diameter = 15 cm

The duct has components cooled by forced air entering at 32°C with a flow rate of 0.65 m3 /min

85% of the generated heat is transferred to the air in the duct, and 15% is lost through the duct's outer surfaces.

See the attached images for the solution.

Explanation:

Consult the attached pictures for a thorough breakdown of the explanation.

4 0
2 months ago
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