a part made of 2024-t6 aluminum is subjected to a cyclic stress at a frequency of 10hz. if the part must last at least 280 hours before failing, what is the maximum stress amplitude allowed for the cyclic stress?

The number of X is 33 inches.

A perimeter became the closed path that encompasses, surrounds, or outlines each a two-dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is known as its circumference. Calculating the perimeter has numerous practical applications. The perimeter moreover says the length of the definition of a shape. To find out the edge of a rectangle or square you want to add the lengths of all four sides.

To determine the amount of X, we will use the method below:

X + X + X + X = 132 or 4x = 132.

Then we will discover the result for X with the step below:

4x = 132

Divide both side by 4

Hence

x = 132 : 4 = 33

x = 33

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To solve this problem, the person needs to first calculate the total sum of all array elements using a loop that iterates over the length of the array. Once the sum is calculated, the person needs to check whether the sum is a single digit or not. If the sum is a single digit, the person can simply return the sum as the final output.

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The unknown capacitor in arm CD must have a value of 330 microfarads, and the unknown resistor must have a value of 100 kilo-ohms.

To solve the problem, use the following formula:
Cseries = C1 x C2 / (C1 + C2)

Where C1 is the value of the capacitor in arm AB (47 microfarads) and C2 is the value of the capacitor in arm BC (330 microfarads).

Therefore, Cseries = 330 microfarads.

Also, the total resistance of arms CD is the sum of the resistance of the resistor (R) and the reciprocal of the capacitive reactance of the capacitor (1/Xc).

Using the following formula:
Rtotal = R + 1/Xc

Where Xc = 1/2πfC,

f is the frequency and C is the capacitance.

For this problem,

Xc = 1/2π(50)(330 x 10-6)

=> 100 kilo-ohm.

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The flux density is 0.75 T (Tesla) when the total flux emerging from the pole is 150 Wb (Weber) and the pole face dimensions are 200mm by 100mm.

Flux density (B) is the ratio of the total flux (Φ) to the area (A) through which the flux passes. In this case, the total flux emerging from the pole is given as 150 Wb (Weber). The area of the rectangular pole face is calculated by multiplying its length (200 mm) by its width (100 mm), resulting in an area of 20,000 mm^2 or 0.02 m^2. Dividing the total flux by the area, we get the flux density: B = Φ / A = 150 Wb / 0.02 m^2 = 7,500 T / 10^4 m^2 = 0.75 T (Tesla). Therefore, the flux density is 0.75 T.

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Answer:

Reflection

Explanation:

The specific behavior of light that will be essential to ensure the success of your design is "Reflection". This is because light maze makes use of a mirror and it's the light that is reflected that we see with our eyes. Also, the manner in which light is reflected off objects will affect the colors that are reflected as well.

This question is incomplete, the complete question is;

A pool of contaminated water is lined with a 40 cm thick containment barrier. The contaminant in the pit has a concentration of 1.5 mol/L, while the groundwater circulating around the pit flows fast enough that the contaminate concentration remains 0. There is initially no contaminant in the barrier material at the time of installation. The governing second order, partial differential equation for diffusion of the contaminant through the barrier is:

dC/dt = D( d²C / dz²)

where c(z,t) represent the concentration of containment of any depth into the barrier at anytime and D is the diffusion coefficient (a constant) for the containment in the barrier material.

a) write all boundary and initial conditions needed to solve this equation for C(z, t)

b) Find the steady  state solution (infinite time) for C(z)

Answer:

a) At t = 0, z= 0, c = 1.5 mol/L

at t =0, z = 0.4m, c = 0 mol/L

b) C(z) = z² - 4.15z + 1.5

Explanation:

a)

The boundary and initial conditions are as follows

At t = 0, z= 0, c = 1.5 mol/L

at t =0, z = 0.4m, c = 0 mol/L

b)

The governing second order, partial differential equation for diffusion of the contaminant through the barrier is :

(dC/dt) = D*(d²C/dz²) ..............equ(1)

For steady state, above equation becomes,

(d²C/dz²) =0

Integrating above equation,

(dC/dz) = Z + C1  { where C1 is integration constant) }

again integrating above equation,

C = z² + C1*z + C2    ...................equ(2)

applying boundary condition : at t =0, z= 0, c = 1.5 mol/L, to above equation

 C = z² + C1*z + C2

1.5 = 0 + 0*0 + c2

C2 = 1.5

applying boundary condition : at t =0, z= 0.4m, c = 0 mol/L, to equation (2) ,

0 = 0.4² + C1*0.4 +  1.5

0 = 0.16 + 0.4C1 + 1.5

0.4C1 = - 1.66

C1 = -1.66/0.4

C1 = -4.15

So, the steady state solution for C(z) is:

C(z) = z² - 4.15z + 1.5

This question is incomplete, The missing image is uploaded along this answer below;

Answer:

the maximum stress in the cylinder is 3.23 ksi

Explanation:

Given the data in the question and the diagram below;

First we determine the initial Kinetic Energy;

T = \(\frac{1}{2}\)mv²

we substitute

⇒ T = \(\frac{1}{2}\) × (550/32.2) × (2)²

T = 34.16149 lb.ft

T =  ( 34.16149 × 12 ) lb.in  

T = 409.93788 lb.in

Now, the volume will be;

V = \(\frac{\pi }{4}\)d²L

from the diagram; d = 0.5 ft and L = 1.5 ft

so we substitute

V =  \(\frac{\pi }{4}\) × ( 0.5 × 12 in )² × ( 1.5 × 12 in )

V = 508.938 in³

So by conservation of energy;

Initial energy per unit volume = Strain energy per volume

⇒ T/V = σ²/2E

from the image; E = 6.48(10⁶) kip

so we substitute

⇒ 409.93788 / 508.938 = σ²/2[6.48(10⁶)]

508.938σ² =  5,312,794,924.8

σ² = 10,438,982.5967  

σ = √10,438,982.5967

σ = 3230.9414  

σ = 3.2309 ksi  ≈ 3.23 ksi    { three significant figures }

Therefore, the maximum stress in the cylinder is 3.23 ksi

Answer: All the options given regarding the hazard communication standard are correct except option D "prepare and post a list of employees who handle hazardous and toxic substances in the workplace".

The main requirements of employers that use hazardous chemicals are:

• ensure that chemicals are properly labelled.

• provide safety data sheets.

• train employees.

• create a written hazard communication program.

It should be noted that preparing and posting a list of employees who handle hazardous and toxic substances in the workplace is incorrect.

Therefore, the correct option is D.

Explanation: YW!!! please mark branlest! =^.^=

Answer:

:)

Explanation:

The correlation between a factor and an outcome could be a coincidence, or it could be caused by a completely different factor. For example, as ice cream sales increase, sales of meat for barbecues also increase.

Answer:

Explanation:

Temperature of atmospheric air To = 25°C = 298 K

Free  stream velocity of air Vo = 25 m/s

Length and width of plate = 1m

Temperature of plate Tp = 125°C = 398 K

We know for air, Prandtl number Pr = 1

And for air, thermal conductivity K = 24.1×10?³ W/mK

Here, charectorestic dimension D = 1m

Given value of Reynolds number Re = 105

For laminar boundary layer flow over flat plate

= 3.402

Therefore, hx = 0.08199 W/m²K

So, heat transfer rate q = hx×A×(Tp – To)

                                          = 0.08199×1×(398 – 298)

Answer:

We well know that water is a conductor of charges. So, when it is between capacitor plates, the charges flow from positive plate to negative plate hence discharge occurs

Explanation:

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Answer: Group A: 28.5 g, 28.4 g, 28.5 g

Explanation: They are repeated measurements that give values that are very close together.

Answer:

Explanation:

The process that Piaget called "adding another example to an existing scheme" is called assimilation. Assimilation refers to the cognitive process of incorporating new information or experiences into existing mental schemas or frameworks. In this case, Tammy assimilates the new example of a golf ball into her existing "ball" scheme, expanding her understanding of what falls under the category of a ball.

Answer:

International Building Code (IBC)

Explanation:

The critical precrack size that would reduce the failure strength (σf) to below the yield strength (σy) is 0.25 mm.

Given data, Stiffness = E = 200 GPa

Strength = σf = 400 MPa

Toughness = KIC = 80 MP\(a.m^{1/2}\)

Critical pre-crack size is to be calculated, which reduces the failure strength (σf) to below the yield strength (σy)We know that when a crack length of a component is greater than the critical crack length, the component will fail when subjected to a certain stress level. So, the fracture strength of the material with pre-crack can be calculated as:

σf = Y * [KIC / \(a^{1/2}\)]        ---- (1) where, a is the crack siz eY = 1 (As given)

Using Young's modulus, E = σf / εf and σy = σf/2, we get: εf = σf / Eσy = σf / 2        ---- (2)

Now, we will substitute Equation (2) in Equation (1)

σy = Y * [KIC / \(a^{1/2}\)]

σy / Y = KIC / \(a^{1/2}\))

σy^2 / \(Y^{2}\) = KIC / aσ\(y^{2}\) * a = KIC * \(Y^{2}\)a = KIC * \(Y^{2}\)/ σ\(y^{2}\)a = (80 * \(10^{2}\) * \(1^{2}\)) / (400 * \(10^{6}\))^2a = 0.00000025 m = 0.25 mm

Therefore, the critical precrack size that would reduce the failure strength (σf) to below the yield strength (σy) is 0.25 mm.

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Note that possessing an ASE Certification is crucial because; " Leads to better employment opportunities." (Option D)

ASE certification, commonly known as Automobile Service Excellence, is given to an automotive mechanic who has finished the necessary training and acquired their Automotive Service Excellence Certified Master Technicians criteria.

There are 58 ASE certification examinations available, covering nearly every facet of the automobile repair and service sector.

The National Institute for Automotive Service Excellence (ASE) offers four levels of certification. They are:

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An example of blocking is repressurizing valves. The correct option is a.

Blocking means stopping something from coming or going somewhere.  Controlling the pressure and flow within a piping system. Regulating the flow's direction within a piping system. Reducing the flow rates in a system of pipes. Enhancing security by reducing vacuum or pressure in a pipe system.

Valves have a wide range of applications, including controlling water flow for irrigation, industrial process control, and residential uses like on/off and pressure control for dishwashers, washers, and faucets.

Therefore, the correct option is a. Repressurizing valves.

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Answer: b fixed and sliding

Explanation:

Answer:

Explanation:

Given that:

diameter = 100 mm

initial temperature = 500 ° C

Conventional coefficient = 500 W/m^2 K

length  = 1 m

We obtain the following data from the tables A-1;

For the stainless steel of the rod \(\overline T = 548 \ K\)

\(\rho = 7900 \ kg/m^3\)

\(K = 19.0 \ W/mk \\ \\ C_p = 545 \ J/kg.K\)

\(\alpha = 4.40 \times 10^{-6} \ m^2/s \\ \\ B_i = \dfrac{h(\rho/4)}{K} \\ \\ =0.657\)

Here, we can't apply the lumped capacitance method, since Bi > 0.1

\(\theta_o = \dfrac{T_o-T_{\infty}}{T_i -T_\infty}} \\ \\ \theta_o = \dfrac{50-30}{500 -30}} \\ \\ \theta_o = 0.0426\\\)

\(0.0426 = c_1 \ exp (- E^2_1 F_o_)\\ \\ \\ 0.0426 = 1.1382 \ exp (-10.9287)^2 \ f_o \\ \\ = f_o = \dfrac{In(0.0374)}{0.863} \\ \\ f_o = 3.81\)

\(t_f = \dfrac{f_o r^2}{\alpha} \\ \\ t_f = \dfrac{3.81 \times (0.05)^2}{4.40 \times 10^{-6}} \\ \\ t_f= 2162.5 \\ \\ t_f = 36 mins\)

However, on a single rod, the energy extracted is:

\(\theta = pcv (T_i - T_{\infty} )(1 - \dfrac{2 \theta}{c} J_1 (\zeta) ) \\ \\ = 7900 \\times 546 \times 0.007854 \times (500 -300) (1 - \dfrac{2 \times 0.0426}{1.3643}) \\ \\ \theta = 1.54 \times 10^7 \ J\)

Hence, for centerline temperature at 50 °C;

The surface temperature is:

\(T(r_o,t) = T_{\infty} +(T_1 -T_{\infty}) \theta_o \ J_o(\zeta_1) \\ \\ = 30 + (500-30) \times 0.0426 \times 0.5386 \\ \\ \mathbf{T(r_o,t) = 41.69 ^0 \ C}\)

A line drawn from the leading edge to the trailing edge of an airfoil and equidistant at all points from the upper and lower contours is called the mean camber line.

The mean camber line is a very important concept in aerodynamics as it defines the overall shape of an airfoil and plays a key role in determining its aerodynamic characteristics, such as lift and drag. It is used to calculate the maximum thickness, maximum camber, and location of the maximum camber of an airfoil.

The mean camber line is typically used as a reference line when designing airfoils, and different shapes can be created by modifying it with specific curves and angles.

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The coding guideline that gives examples for the use of the external approach is the CPT® Surgery Guidelines.

This guideline provides instructions for coding surgical procedures performed using an external approach. The external approach refers to a surgical procedure that is performed through the skin or mucous membrane, as opposed to an internal or endoscopic approach. The CPT® Surgery Guidelines include examples of procedures that may be performed using an external approach, such as a biopsy of the skin or removal of a foreign body from the ear. These examples help to ensure that coders accurately code procedures performed using the external approach.

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Answer: hello your question is poorly written below is the complete question

Ethanol blended with gasoline can be used to power a flex-fueled car. One particular blend that is gaining in popularity is E85 , which is 85% ethanol and 15% gasoline. E85 is 80% cleaner burning than gasoline alone, and it reduces our dependency on foreign oil. But a flex-fueled car costs $1,000 more than a conventional gasoline-fueled car. Additionally, E85 fuel gets 10% less miles per gallon than a conventional automobile. Consider a 100% gasoline -fueled car that averages 30 miles per gallon. The E85-fueled car will average about 27 miles per gallon. If either car will be driven 81000 miles before being traded in, how much will the E85 fuel have to cost (per gallon) to make the flex-fueled car as economically attractive as a conventional gasoline-fueled car? Gasoline costs $3.89 per gallon. Work this problem without considering the time value of money

answer :

$3.17

Explanation:

Determine how much E85 fuel have to cost

Fuel needed by 100% gasoline fueled car

= 81,000 miles / 30 = 2700 gallons

Fueled needed by E85 car

= 81,000 miles / 27 = 3000 gallons

next step : use the relation below

[ (Additional cost of flex fuel car) + (flex fuel consumption * cost of flex fuel per gallon( x ) )  ]   = [ Gasoline consumption * cost of gasoline per gallon ]

= 1000 + 3000x = 2700 * 3.89

= 1000 + 3000x = 10503

∴ x = 9503 / 3000 = $3.17 per gallon

i] The density of the pellet is 0.977 g/cm^{3}. ii] The macropore volume in cm^{3}/g is 0.205 cm^{3}/g. iii] The macropore void fraction in the pellet is 25.1%.iv] The micropore void fraction in the pellet is 49.0%. v] The solid fraction of the pellet is 25.9%. vi] The density of the particles is 1.222 g/cm^{3}.

i] To determine the density of the pellet, we can use the formula:

Density = Mass / Volume

Given that the mass of the pellet is 3.15 g and the volume is 3.22cm^{3}, we can calculate the density as follows:

Density = 3.15 g / 3.22 cm^{3}≈ 0.977 \(g/cm^{3\)

ii] The macropore volume in cm3/g can be calculated by dividing the macropore volume of the pellet (0.645 cm3) by the mass of the pellet (3.15 g):

Macropore volume = 0.645 cm^{3} / 3.15 g ≈ 0.205 \(cm^{3} /g\)

iii] The macropore void fraction in the pellet can be calculated using the formula:

Macropore void fraction = Macropore volume / Total volume of the pellet

Total volume of the pellet = Volume - Macropore volume = 3.22 cm^{3}- 0.645 cm^{3} = 2.575 cm^{3}

Macropore void fraction = 0.645 cm^{3} / 2.575 \(cm^{3}\)≈ 0.251 or 25.1%

iv] The micropore void fraction in the pellet can be calculated using the given micropore volume of the particles (0.40 cm^{3} /g) and the mass of the pellet (3.15 g):

Micropore volume in the pellet = Micropore volume/g x Mass

Micropore volume in the pellet = 0.40 \(cm^{3} /g\) x 3.15 g = 1.26 cm3

Micropore void fraction = Micropore volume in the pellet / Total volume of the pellet

Micropore void fraction = 1.26 \(cm^{3}\) / 2.575 \(cm^{3}\) ≈ 0.490 or 49.0%

v] The solid fraction of the pellet can be calculated by subtracting the sum of macropore and micropore void fractions from 1:

Solid fraction = 1 - (Macropore void fraction + Micropore void fraction)

Solid fraction = 1 - (0.251 + 0.490) ≈ 0.259 or 25.9%

vi] The density of the particles can be determined using the mass of the pellet (3.15 g) and the total volume of the particles:

Total volume of the particles = Volume - Macropore volume = 3.22 \(cm^{3}\)- 0.645 \(cm^{3}\) = 2.575\(cm^{3}\)

Density of the particles = Mass / Total volume of the particles

Density of the particles = 3.15 g / 2.575\(cm^{3}\) ≈ 1.222 \(g/cm^{3}\)

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Answer:

$151094

Explanation:

Solution

Recall that:

Acme Chemical in 2002 purchased a large pump worth of = 112,000

The estimation for the pump to the industrial pump index is =100

The index in 2002= 212

The current index is = 286

k = is the  reference year for which cost or price is known.

n =  the year for which cost or price is to be estimated (n>k).

Cn = the estimated cost or price of item in year n.

Ck =  the cost or price of item in reference year k.

Cn = Ck * (In / Ik )

Now,

We find the estimated cost of the new pump which is stated as follows:

Cn = (112,000 * 286) /212

=32032000/212

=$151094

Therefore, the estimated cost of the new pump is $151094

The data type which would be continuous is: B. The amount of snow that fell last night.

In Computer technology, a continuous data can be defined as a data set that has infinitely many possible values and those values cannot be counted, which simply means that they are uncountable.

Generally speaking, quantities such as height, volume, speed, distance, weight, density, length, pressure, temperature, and time are generally a continuous data.

In this context, we can reasonably infer and logically deduce that "The amount of snow that fell last night." would be categorized as a continuous data because it can assume any value in an interval.

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Answer:

wat?

Explanation:

The question should be labeled in the psychology section, but what I assume the question means is some sort of paradoxical reverse psychology method of braincell loss. Even photosynthesis doesn't understand what it means. The question probably is what is the question, not that there's no help.

Hope this helps (a little)!

Answer:

drugs

Explanation: