The modulus of elasticity for a ceramic material having 4.7 vol% porosity is 317 GPa. (a) Calculate the modulus of elasticity (in GPa) for the nonporous material.

Answers

Answer 1

Answer:

The answer is below

Explanation:

a) Given that the modulus of elasticity (E) = 317 GPa, to find the modulus of elasticity (in GPa) for the nonporous material ([tex]E_o[/tex]), we use the formula:

[tex]E_0=\frac{E}{1-1.9P+0.9P^2}\\\\where\ P=4.7\%=0.047,hence:\\\\ E_0=\frac{317}{1-1.9(0.047)+0.9(0.047)^2}\\\\E_0=347.3\ GPa[/tex]

b) If the porosity P = 11.1%, then the modulus of elasticity is:

[tex]E=E_0(1-1.9P+0.9P^2)=347.3(1-1.9(0.111)+0.9(0.111)^2)=278\ GPa[/tex]


Related Questions

PLEASE HELP QUICKLY THANKS

Answers

Answer: the answer is d

Explanation:

Help !! I hate science

Answers

Answer:

iron nail rusting

Explanation:

A) Iron nail rusting

A trip is taken that passes through the following points in order

Point A 0 m

Point B 15.0 m

Point C -30.0 m

Point D -20.0 m

Point E 10.0 m

Point F 5.0 m

What is the distance from Point C to Point F?

Answers

Answer:

35, I got you bro, i got you

A baseball is thrown at an angle of 25 degrees relative to the ground at a speed of 23 m/s. If the ball was caught 42 m from the thrower:

What is the initial vertical velocity?

What is the initial horizontal velocity?

How long was it in the air?

How high did the ball travel before being caught?

Answers

Answer:

a) [tex] v_{0y} = 9.72 m/s [/tex]

b) [tex] v_{0x} = 20.85 m/s [/tex]

c) [tex] t = 2.01 s [/tex]

d) [tex] h_{max} = 4.82 m [/tex]

Explanation:

a) The initial vertical velocity is given by:

[tex] v_{0y} = v*sin(\theta) [/tex]

Where:

θ: 25°

v: is the magnitude of the speed = 23 m/s

[tex] v_{0y} = 23 m/s*sin(25) = 9.72 m/s [/tex]

b) The initial horizontal velocity can be calculated as follows:

[tex] v_{0x} = v*cos(\theta) = 23 m/s*cos(25) = 20.85 m/s [/tex]

c) The flight time can be calculated using the following equation:

[tex] v_{0x} = \frac{x}{t} [/tex]

Where:

x: is the total distance = 42 m

[tex] t = \frac{x}{v_{0x}} = \frac{42 m}{20.85 m/s} = 2.01 s [/tex]

d) The maximum height is given by:

[tex] v_{fy}^{2} = v_{0y}^{2} - 2gh_{max} [/tex]

Where:

[tex] v_{fy}[/tex]: is the final vertical velocity =0 (at the maximum heigth)

g: is the gravity = 9.81 m/s²

[tex]h_{max} = \frac{v_{0y}^{2}}{2g} = \frac{(9.72 m/s)^{2}}{2*9.81 m/s^{2}} = 4.82 m[/tex]

I hope it helps you!                                  

Calculate the ideal mechanical advantage of a pair of scissors where the length of the blade is 5 cm and the length of the handle is 2.5 cm.

Answers

Answer:

m = 0.5

Explanation:

Given that,

The length of the blade of scissors = 5 cm

The length of the handle = 2.5 cm

Here, effort arm is 2.5 cm and load arm is 5 cm. The mechanical advantage is the ratio of effort arm to the load arm as follows :

[tex]m=\dfrac{2.5}{5}\\\\m=0.5[/tex]

So, the ideal mechanical advantage of a pair of scissors is 0.5.

How does temperature effect density and the flow of convection currents?

Answers

Answer:

Convection

Explanation:

Convection is heat transfer due to a density differential within a fluid. As water's temperature increases in the presence of a heat source, it will become less dense and rise. As it moves up and away from the heat source, it cools and becomes more dense and sinks.

Which chemicals are major contributors to ozone layer destruction? Select two answer choices.

Answers

Answer:

what are the answers to select? or do you just say them

Explanation:

???

Answer:

c and d

Explanation:

30 points! to who helps me out

Answers

The three forces are:
Push force from dog = 20 N (sideways)
Weight of cart = 98 N (downwards)
Normal force = 98 N (upwards)

With this stroke, your hand will be turned about a quarter circle counter-clockwise on the handle of your racquet. Which is the right answer?

A. Half volley

B. Volley

C. Backhand stroke

D.forehand stroke

Answers

Answer:

C. backhand stroke

Explanation:

Your hand will be rotated counterclockwise about a fourth of the racquet handle during this stroke. The correct response is to backhand stroke. Option C is correct.

What is a backhand stroke?

When playing tennis, a backhand is a stroke in which the player's torso is crossed and the ball is struck with the palm towards the opponent's chest and the back of the hand traveling toward them.

A backhand in tennis can be made with one or both hands.

With this stroke, your hand will be turned about a quarter circle counter-clockwise on the handle of your racquet. Backhand stroke is the right answer.

Hence. option C is correct.

To learn more about the backhand stroke refer;

https://brainly.com/question/16095645

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a golf ball with a velocity 40 at an angle 45 degree speed of bthe ball after 2 sec

Answers

Answer:

Vertical velocity = 8.28 m/s

Horizontal velocity = 28.3 m/s

__________________________________________________________

We are Given:

Initial velocity of the ball = 40 m/s

Angle of elevation of the ball = 45°

Time interval = 2 seconds

__________________________________________________________

Vertical and Horizontal Components:

Vertical Component:

The vertical component of the ball can also be written as:

40*Sin(45°)

40*(1/√2)                                                          [since Sin(45°) = 1/√2]

40/√2 m/s

Horizontal Component:

The horizontal component of the ball can also be written as:

40*Cos(45°)

40*(1/√2)                                               [Since Cos(45°) = 1/√2]

40/√2 m/s

__________________________________________________________

Speed of the Ball after 2 seconds:

Horizontal Velocity:

Since the horizontal velocity is not affected by any force during the flight, the horizontal velocity after 2 seconds will also be 40/√2 m/s

Since √2 = 1.41:

Horizontal velocity = 28.3 m/s

Vertical Velocity:

v = u + at                            [First equation of motion]

v = 40/√2 + (-10)(2)          

[g is negative because it is acting against the direction of motion]

v = 40/√2 - 20

v = [tex]\frac{40-20\sqrt{2} }{\sqrt{2} }[/tex]                          [taking the LCM]

v = 8.28 m/s                    [√2 = 1.41]

When are zeros significant when found in front of (to the left) of the decimal point?

Answers

Answer:

If a zero is found between important digits, it is important. Zeros are also used as (not salient) holders to the left of digits if the number is in fact a decimal. Example from www.rpi.edu: , a mass of 42 g has two significant digits. Expressed in kilograms, the mass of 0.042kg should still have two significant digits.

Explanation:

Zeros are also used as (not salient) holders to the left of digits if the number is in fact a decimal. Example from www.rpi.edu: "A mass of 42 g has two significant digits. Expressed in kilograms, the mass of 0.042kg should still have two significant digits."

Hope this comes in handy, have a great day!

Which sequence shows electromagnetic waves arranged in a decreasing order of their wavelengths?

Answers

Answer: Gamma rays, x-rays, ultraviolet rays, visible light, and infrared rays.

Answer:

C) radio → infrared → ultraviolet → gamma

Explanation:

It Increases left to right therefore it decreases right to left

How does cold water affect the speed of dissolving?

A. Cold water slows down dissolving

B. Cold water speeds up dissolving

C. Cold water has no effect on dissolving

D. Cold water completely stops dissolving

Answers

Answer:

Cold water slows down dissolving

Cold water slows down dissolving. Hence, option (A) is correct.

What is  the relationship between the solubility and the temperature?

The basic relationship between solubility and temperature is as follows: A solid will dissolve more readily at higher temperatures.

Likewise, a solid element dissolves more slowly at lower temperatures. This is all due to the solvent becoming more and more excited by the heat, making it easier for it to split or break apart entirely.

for while in gases The solubility of gases decreases more rapidly as temperature rises. A gas is more soluble in water when the temperature is lower.

Henry's law, which states that the gas becomes more soluble as the pressure above the liquid solution increases, summarizes another characteristic of gas solutes.

Learn more about solubility  here:

https://brainly.com/question/29661360

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5. The most dangerous place to use electrical equipment is?
A) indoors
B) outdoors
near water
D
near other electrical equipment

Answers

C) because you could get hurt if certain items fall in it and you are in water

Answer:

c near water

Explanation:

because well let's say you were out in the rain or ur at an outdoor pool swimming and all of a sudden lighting strikes the water while ur in it...... then you would barely be living bc electric touched water

Do someone know the answer

Answers

Speed x time = distance
Distance divided by time = speed
500 divided by 5
Speed = 100
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