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3 years ago

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slader A steel bar is 150 mm square and has a hot-rolled finish. It will be used in a fully reversed bending application. Sut fo

r the steel used in the bar is 600 MPa. (a) Using a 99.9% reliability factor, determine the endurance limit of the bar material. (b) How many cycles can it survive if alternating stress is 100 MPa

1 answer:

allochka39001 [22]3 years ago

6 0

Answer:

(a) 98.548 mPa

(b) N = 942346

9.42 X 10∧5 cycles

Explanation:

The solved solution is in the attach document.

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Learning Check: Ranking Elements

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Yes
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3 years ago

Explain how microorganisms are friend and foe.

Helga [31]

Answer:

Because they are beneficial

Explanation:

There are microorganisms in our large intestine that synthesis vitamins and allow them to be absorbed into the bloodstream. However a tiny minority are pathogens (disease-causing agents). These pathogens often called germs or bugs, are a threat to all life forms.

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A plane monchromatic radio wave (lambda = 0.3 m) travels in vacuum along the positive x-axis, with an intensity I = 45 W/m2. Sup

Harrizon [31]

Answer:

$-5.78414\times 10^{-6}\ T$

Explanation:

$\epsilon_0$ = Permittivity of free space = $8.85\times 10^{-12}\ F/m$

c = Speed of light = $3\times 10^8\ m/s$

$\lambda$ = Wavelength = 0.3 m

T = Time period

f = Frequency

$E_0$ = Electric field

Intensity of electric field is given by

$I=\dfrac{1}{2}c\epsilon_0E_0^2\\\Rightarrow E_0=\sqrt{\dfrac{2I}{c\epsilon_0}}\\\Rightarrow E_0=\sqrt{\dfrac{2\times 45}{3\times 10^{8}\times 8.85\times 10^{-12}}}\\\Rightarrow E_0=184.11492\ N/C$

Magnetic field is given by

$B_0=\dfrac{E_0}{c}\\\Rightarrow B_0=\dfrac{184.11492}{3\times 10^8}\\\Rightarrow B_0=6.13716\times 10^{-7}\ T$

$k=\dfrac{2\pi}{\lambda}\\\Rightarrow k=\dfrac{2\pi}{0.3}\\\Rightarrow k=20.94\ /m$

$f=\dfrac{c}{\lambda}\\\Rightarrow f=\dfrac{3\times 10^{8}}{0.3}\\\Rightarrow f=1\times 10^{9}\ Hz$

$T=\dfrac{1}{f}\\\Rightarrow T=10^{-9}$

$\omega=\dfrac{2\pi}{T}\\\Rightarrow \omega=\dfrac{2\pi}{10^{-9}}\\\Rightarrow \omega=6283185307.17958\ rad/s$

Magnetic field in the z direction is given by (x=0)

$B_z=B_0(kx-\omega t)\\\Rightarrow B_z=6.13716\times 10^{-7}\times (0-6283185307.17958\times 1.5\times 10^{-9})\\\Rightarrow B_z=-5.78414\times 10^{-6}\ T$

The magnetic field at the origin is $-5.78414\times 10^{-6}\ T$

4 0

3 years ago

Thomas the giant gorilla stood on a bridge 624 feet above the water below. He picked up a car threw it off the bridge with an in

Mila [183]

Answer:

The car will take approximately 4.865 seconds to splash into the water.

Explanation:

Let suppose that car moves initially downwards. We must see the kinematics of the car after being thrown off the bridge, it is quite certain that car experiment a free fall, in which it is accelerated uniformly by gravity. The time spent by the car to splash into the water is obtained from this equation of motion:

$y = y_{o}+v_{o}\cdot t +\frac{1}{2}\cdot g \cdot t^{2}$

Where:

$y$ - Current height, measured in feet.

$y_{o}$ - Initial height, measured in feet.

$v_{o}$ - Initial velocity, measured in feet per second.

$t$ - Time, measured in seconds.

$g$ - Gravitational acceleration, measured in feet per square second.

If we know that $y = 0\,ft$ , $y_{o} = 624\,ft$ , $v_{o} = -50\,\frac{ft}{s}$ and $g = -32.174\,\frac{ft}{s^{2}}$ , this quadratic function is obtained:

$-16.087\cdot t^{2}-50\cdot t +624 = 0$

Now we get the roots of the polynomial by Quadratic Formula:

$t_{1} \approx 4.865\,s$ , $t_{2} \approx -7.973\,s$

Only the first root is physically reasonable. In a nutshell, the car will take approximately 4.865 seconds to splash into the water.

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3 years ago

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A baseball is thrown at a speed of 30.5.if a baseball has a mass of 0.182.what is momentum?

Oliga [24]

Answer:

p = 5.55 kg-m/s

Explanation:

Given that,

The mass of baseball, m = 0.182 kg

The speed of a baseball, v = 30.5 m/s

We need to find its momentum. The formula for momentum is given by :

p = mv

So,

p = 0.182 kg × 30.5 m/s

p = 5.55 kg-m/s

So, the required momentum is 5.55 kg-m/s.

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3 years ago