A man weighing 800 N is hanging from a 2 mm diameter titanium wire with a cross-section of 3 x 10^-6 m^2. Will the wire break?

Answers

Answer 1

Answer:

Since stress is greater than ultimate strength, the wire will break.

Step-by-step explanation:

The titanium wire is experimenting an axial load. Ultimate strength equals [tex]2.20\times 10^{8}\,Pa[/tex]. The wire shall break if and only if stress is at least equal to ultimate strength. The equation for axial stress ([tex]\sigma[/tex]), measured in pascals, in the wire with circular cross-section is:

[tex]\sigma = \frac{4\cdot F}{\pi\cdot D^{2}}[/tex] (1)

Where:

[tex]F[/tex] - Axial force, measured in newtons.

[tex]D[/tex] - Cross-section diameter, measured in meters.

Please notice that axial force is the weight of the man hanging from wire.

If we know that [tex]F = 800\,N[/tex] and [tex]D = 0.002\,m[/tex], then the axial stress experimented by the titanium wire is:

[tex]\sigma = \frac{4\cdot (800\,N)}{\pi\cdot (0.002\,m)^{2}}[/tex]

[tex]\sigma \approx 2.546\times 10^{8}\,Pa[/tex]

Since stress is greater than ultimate strength, the wire will break.


Related Questions

Solve for r in terms s, t, u, v.
su=rtv

Answers

Answer:

r = su/tv

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Step-by-step explanation:

Step 1: Define

su = rtv

Step 2: Solve for r

[Division Property of Equality] Divide tv on both sides:                               su/tv = rRewrite/Rearrange:                                                                                         r = su/tv
Making r subject of formula, we get:

r = su/tv

Joe borrowed $6,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 3 years?

Answers

Answer:

$19,260

Step-by-step explanation:

6,000 * 7% = 420

6,000 + 420 = 6,420

6,420 * 3 = 19,260

easy

Answer:

$1,260

Step-by-step explanation:

So first of all you want to start by finding what P, r and t would be.

P = Principal amount ($$)

r = interest rate (%)

t = time (years)

Once I found all of those I put them into the equation (l = Prt) and solved (by putting it into a calculator obviously). That is how I came up with my answer. Check the screenshot provided to see what P, r and t would be and to see all my work! :)

Hope this helps! :)

Have a great day!

Hey. Could you help?

Answers

Answer:

C

Step-by-step explanation:

sorry, I dont have time for a full explanation. maybe wait for the next person's answer too. just to verify mine.

hope this helps <3

select the correct answer from each dropdown menu. in the figure, the radius of the partial circle with center A is 4 feet.
The perimeter of the figure is A.____ feet, and the area of the figure is B.____ square feet. Assume =3.14, and round your answers to the nearest hundredth.​
A.- 18.84 - 24.50 - 26.84 - 75.36
B.- 11.42 - 22.84 - 45.68 - 53.68

Answers

Answer:

Step-by-step explanation:

Part A: 24.50 feet, Part B: 46.68 square feet, I just took the test and got this right!

The perimeter of the figure is [tex]24.50[/tex] and area of the figure is [tex]45.68[/tex] square feet.

What is Area of Circle?

In geometry, the area enclosed by a circle of radius r is πr². Here the Greek letter π represents the constant ratio of the circumference of any circle to its diameter, approximately equal to 3.14159

According to question, the radius of the partial circle with center A is 4 feet.

We have to find the perimeter and area of the figure.

Perimeter of the figure=2πr×[tex]\frac{3}{4}[/tex] +[tex]4\sqrt{2}[/tex]

=2×[tex]3.14[/tex]×[tex]4[/tex]×[tex]0.75+4[/tex]×[tex]1.414[/tex]

[tex]=24.50[/tex]

Area of figure=[tex]\frac{3}{4}[/tex] πr²+[tex]r^{2}[/tex]×[tex]\frac{1}{2}[/tex]

=[tex]0.75[/tex]×[tex]3.14[/tex]×[tex]16[/tex][tex]+16[/tex]×[tex]0.5[/tex]

[tex]=37.68+8[/tex]

[tex]=45.68[/tex]

Hence, we can conclude that the perimeter of the figure is [tex]24.50[/tex] and area of the figure is [tex]45.68[/tex] square feet.

Learn more about area of circle  here:

https://brainly.com/question/23328170?referrer=searchResults

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Will give, Branliest for anyone who answers.​

Answers

4,6,20

150,75
70,35
120,60
110,56

5/2

10/4

15/6

50/20

300 G  150 G 75 G

140 G 70 G 35 G

420 G 210 G 105 G

220 G 110 G 55 G

The least common multiple of two numbers is 60, and one of the numbers is 7 less than the other number. What are the numbers? Explain your answer.

Answers

Answer:

Two numbers (integer only): 5 , 12

Step-by-step explanation:

Suppose two numbers are integers: ax and ay, a is common factor and x,y no more common factor

axy = 60   a: 1,2,3,4,6,10,12,30

ax - ay = a(x-y) = 7

after test , I exclude 3,4,6,10,12,30

if a=1    xy=60    (x,y): (3,10) (4,15) (5,12)

(5,12): LCM: 5*12=60     12-5=7

if a=2       xy=30  (x,y): (2,15) (3,10) (5,6)  No solution in this combination

Donkey Kong is rolling cylindrical barrels
of different sizes at Mario.

The DIAMETER of the barrel is 16.5.

What is the circumference of the barrel?

If your answer is correct Mario will clear the barrel.

Answers

You must half the diameter to get the radius
Then you can use
2times pie times radius to get the circumference.

2 ×3.141592653589793×8.25=
51.83627878423158

Circumference of the barrel is 51.81 unit

Circumference of the circle:

Given that;

Diameter of barrel = 16.5 unit

Find:

Circumference of the barrel

Computation:

Radius of barrel = 16.5/2 unit

Radius of barrel = 8.25 unit

Circumference of the barrel = Circumference of the circle

Circumference of the barrel = 2πr

Circumference of the barrel = 2(3.14)(8.25)

Circumference of the barrel = 51.81 unit

Find out more information about 'Circumference'.

https://brainly.com/question/4268218?referrer=searchResults

Mr. Seoul left $48,000 to his family when he passed. If he left 66 2/3% to his wife, how much did she receive?

Answers

Answer:

The answer is $32000.

Step-by-step explanation:

What is the measure of Y? 4·9=36=36/4

Answers

Answer:

Figure or Diagram Mandatory

GOOD LUCK FOR THE FUTURE! :)

There are 84 groups in a bag. For friends are sharing the grapes. Write an equation that can be used to find out how many grapes G each friend will yeah if each friend gets the same number of groups

Answers

84 / 4 = G

I’m not too sure if you meant four friends ?

will give brainliest

Answers

Answer:

The answer is B

Step-by-step explanation:

Solve the multi-step equation and place the steps in the correct order.
(Pls)

Answers

Answer:

1. 3x -6 + 4 = -20

2. 3x - 2 = -20

3. 3x = -18

4. × = -6

Answer:

The first one is 3x-2=-20. So the - 2 will cross the equal sign making it positive so it will be 3x = -20+2 given you 3x = - 18. You will divide it by 3 given u - 6. So all of them x= - 6

Help I need to turn this in today:)

Answers

Total surface area

=2 ×(area of triangle) +( area of rectangle 1) + (area of rectangle 2) + (area of rectangle 3)

2×(1/2 × 16 ×12) + (10×12)+(16×10)+(20×10)

=672 cm²

Can someone please Classify the angles ? I don’t need a conclusion ....

Answers

Answer:

Right triangle

Step-by-step explanation:

A right triangle is a triangle in which one angle is a right angle.

It took Jenny 2 hours to knit 1/3 of a scarf.
How many hours will it take for her to make
one scarf?

Answers

Answer:

6 hours

Step-by-step explanation:

Bc 2hours for 1/3 so and 4 more hours and u get 6. Hope this helps u have a good day. Sorry if wrong

Answer:

6 hours

Step-by-step explanation:

Evaluate the expression when a=1/4
and b = 6.
-8ab=

Answers

Answer:

-12

Step-by-step explanation:

-8(1/4)(6)

-8/4=-2

-2*6=-12

what is the common ratio of the geometric sequence below? –2, 4, –8, 16, –32, ...

Answers

Answer:

The common ratio of the geometric sequence is:

[tex]r=-2[/tex]

Step-by-step explanation:

A geometric sequence has a constant ratio 'r' and is defined by

[tex]a_n=a_1\cdot r^{n-1}[/tex]

where

aₙ is the nth terma₁ is the first termr is the common ratio

Given the sequence

[tex]-2,\:4,-8,\:16,\:-32,\:...[/tex]

Compute the ratios of all the adjacent terms:  [tex]r=\frac{a_n+1}{a_n}[/tex]

[tex]\frac{4}{-2}=-2,\:\quad \frac{-8}{4}=-2,\:\quad \frac{16}{-8}=-2,\:\quad \frac{-32}{16}=-2[/tex]

The ratio of all the adjacent terms is the same and equal to

[tex]r=-2[/tex]

Therefore, the common ratio of the geometric sequence is:

[tex]r=-2[/tex]

Please help. its not hard

Answers

Answer:

Tbh Im not sure

Step-by-step explanation:

Answer:

I think the answer is 1/2 (x^2 + 11x + 30) but see the discussion below.

Step-by-step explanation:

I can hardly read the signs between the dimensions. This is my best guess.

Area Shaded = Area Rectangle - Area Triangle

Area Rectangle = (x + 5)(x + 6)

Area Triangle = 1/2 (x + 5 ) ( x + 6)

Area shaded = (x + 5)(x+6) - 1/2 (x + 5)(x + 6)

Area shaded = 1/2 (x + 5)(x + 6)

Area Shaded = 1/2 (x^2 + 11x + 30)

If the second factor (x + 6) is really x - 6 then the area of the shaded area is 1/2  (x+5)(x - 6)

Area Shaded = 1/2 * (x^2 - x - 30)

In quadrilateral PQRS below, sides PS and QR are parallel for what value of x ?





158


132


120


110


70

Answers

Answer:

ps and qr is parellel so the 70°and x is co interior angles.

so, our equation will be look like .

70°+x=180°

x=180°-70°

x=110°

The sides PS and QR are parallel for x = 110°

Option 4 is correct.

What are consecutive-interior angles?

The pair of non-adjacent interior angles that are on the same side of the transversal are referred to as consecutive internal angles.The term "consecutive" describes events that take place side by side.

As per the given data:

PQRS is a quadrilateral with sides PS and QR parallel.

∠P = 70°

∠Q = x°

∠S = 112°

For sides PS and QR to be parallel:

∠Q + ∠P = 180° {Co-interior angles on the same side of the transversal}

x° + 70° = 180°

x = 110°

Hence, sides PS and QR are parallel for x = 110°

To lean more about consecutive-interior angles, click:

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THIS IS DUE REALLY SOON CAN SOMEONE HELP PLEASE???

find the # of tiles in stages 0-4, then write an expression that represents the pattern.

Answers

Answer:

# = number of tiles + 2

Step-by-step explanation:

So It would be 3,5,7 but your would add 2 to each number of tiles increased.

There were 0 tiles in step 0

Answer:

It can be observed that there is a pattern

Step 1

2 + 1 = 2 + 1²

Step 2

2 + 4 = 2 + 2²

Step 3

2 + 9 = 2 + 3²

Step 4

2 + 4²

Step n

2 + n²

can you help me please ​

Answers

Given:

The figure of a triangle.

To find:

The value of x.

Solution:

According to the triangle proportionality theorem, if a line segment divides the two sides of a triangle and parallel to the third side of the triangle, the it divides the two inclined sides proportionally.

Using triangle proportionality theorem, we get

[tex]\dfrac{2x}{80}=\dfrac{27}{60}[/tex]

[tex]\dfrac{x}{40}=\dfrac{9}{20}[/tex]

Multiply both sides by 40.

[tex]x=\dfrac{9}{20}\times 40[/tex]

[tex]x=9\times 2[/tex]

[tex]x=18[/tex]

Therefore, the value of x is 18.

Please help me with this math problem.

Answers

(X+4)(x-4)

Explanation

Since both terms are perfect squares, factor using the difference of squares formula,
Hello

help me out with this pls (multiple choice)

Answers

Answer:

C

Step-by-step explanation:

In a 45-45-90 triangle, two of the sides are congruent because the angles are congruent. Choice C is the only answer in which the sides are congruent.

3x^2+ 7x +2, can I get help with this one also ?

Answers

Answer:

(3x + 1)(2x + 1)

Step-by-step explanation:

Remark

This thing really does factor.

Both the first and last coefficients are prime, so if it factors easily 1 and 3 and 1 and 2 must be there somewhere.

(3x + 1)(x + 2)    would be the logical guess. That turns out to be correct.

Ratnam hired a car from a car renting agency which charges a flat amount of Rs x for travelling up to 40 kilometres and Rs. y per km for every kilometre travelled thereafter. How much should Ratnam pay the agency for a journey of 50 kilometres in Rs. ?

Answers

Answer:

Rs. X + Rs. 10y

Step-by-step explanation:

Charge for 40 km travel = Rs. x per km

Charge for every additional km traveled = Rs. y

Amount paid for 50 km

Fixed charge for 40km = Rs. X

Additional km = 50 - 40 = 10 kilometer

Total charge :

Rs. X + Rs. 10y

Quadrilateral FGHI is similar to quadrilateral JKLM. Find the measure of side KL. Round your answer to the nearest tenth.

Answers

Answer:

The answer is "31.888".

Step-by-step explanation:

When their respective angles were congruent or their side lengths have a constant relation, they know that two quadrilaterals are similar

FGHI is similar to JKLM because of quadrilateral

[tex]\to \frac{FG}{JK} =\frac{GH}{KL}=\frac{HI}{LM}=\frac{FI}{JM}\\\\\to \frac{GH}{KL} =\frac{HI}{LM}\\\\\to \frac{7}{KL}= \frac{9}{41}\\\\\to KL=\frac{7 \times 41}{9}=31.888\\\\[/tex]

Answer:

12.3

Step-by-step explanation:

Trust me I got it wrong

please help me on this will give you brainliest!!

Answers

36!!
18/2= 9
45/5= 9
9 x 4 = 36

Answer:

AC = 36

Step-by-step explanation:

since these triangles are similar, we can use the triangle similitary theorem. This means that the sides are proportional to each other.

ef/bc = 5/45 (1/9) = ed/ba =  2/18 (1/9)

we can see the sides are in a ratio of 1:9, and plug it in the proportion

df/ac = 1/9

4/ac = 1/9

cross multiply and we get that ac = 36

6n – 7n – 4 + n
Terms:
Like terms:
Coefficient:
Constants:
HELP PLSSS

Answers

Answer:

-4

Step-by-step explanation:

Which interval on the graph could be described as linear increasing?

A

B

C

D

Answers

The right answer is B.

Last year, Maya opened an investment account with 8,800. At the end of the year, the amount in the account had decreased by 26.5%. How much is this decrease in dollars? How much money was in her account at the end of last year?

Answers

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Initial investment= $8,800

Percentage decrease= 26.5%

To calculate the money Maya lost, we need to use the following formula:

Decrease on dollars= 8,800*0.265

Decrease in dollars= $2,332

At the end of the years she has:

Money left= 8,800 - 2,332

Money left= $6,468

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