1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dafna1 [17]
3 years ago
11

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?

Mathematics
1 answer:
DENIUS [597]3 years ago
3 0

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

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

Where:

F - Axial force, measured in newtons.

D - Cross-section diameter, measured in meters.

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

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

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

\sigma \approx 2.546\times 10^{8}\,Pa

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

You might be interested in
Reduce to simplest form<br><br><br>negative 7/8 minus (negative 5/6)
Verdich [7]

Answer:

(-21/24) - (-20/24) = -1/24

<em>Simplest Form of the Equation</em>

(-7/8) - (-5/6) = 0.04166666666

8x6= 48,

-7x6=-42

6x8= 48,

-5x8=40

(-42/48) - (-40/48)

Divide both sides by 2

(-21/24) - (-20/24) = -1/24

3 0
3 years ago
7. After boiling, the 18 liters of water was reduced to 7 liters. How many water was
e-lub [12.9K]

Answer:

C

Step-by-step explanation:

Sorry if its wrong bro

4 0
2 years ago
A radio transmission tower is 190 feet tall. How long should a guy wire be if it is to be attached 13 feet from the top and is t
gladu [14]

Answer:

343.7 ft

Step-by-step explanation:

The wire is anchored 190 -13 = 177 ft from the ground. That distance is opposite the given angle (31°). The measure you want is the hypotenuse of the triangle with that side and angle measures.

The mnemonic SOH CAH TOA reminds you that the relation between the opposite side, hypotenuse, and angle is ...

Sin(angle) = Opposite/Hypotenuse

Filling in the given information, you have ...

sin(31°) = (177 ft)/hypotenuse

Solving for hypotenuse gives

hypotenuse = (177 ft)/sin(31°) ≈ 343.7 ft

The length of the guy wire should be 343.7 ft.

5 0
3 years ago
Suppose y varies inversely with x. Write an equation if y=-3 when x=17
vodka [1.7K]

Answer:

y = -51 ÷ x

Step-by-step explanation:

The standard format of a inversely proportional equation goes by the format of y = k ÷ x. The question asks us to write an equation if y = -3 when x = 17 and y varies inversely with x.

So we substitute the values y = -3 and x = 17 in the equation y = k ÷ x

K = constant, we have to work this out

-3 = k ÷ 17

-3 × 17 = k

k = -3 × 17

k = -51

k = -51 So then we put this back into the original y = k ÷ x to find our final equation which is y = -51 ÷ x

6 0
3 years ago
PLS HELP ME!!!
Elenna [48]

Answer:

Option B, random sample

That should be the answer

8 0
3 years ago
Other questions:
  • John haf 99 more stickers than Sally. Sally then gave John 36 more stickers. How many more stickers would John have than Sally i
    8·1 answer
  • you plan to save 600 a month for the next 30 years for retirement. What interest rate would you need to have for 1,000,000 at re
    13·1 answer
  • Simplify 4^3•4^5.<br> help asap !
    6·1 answer
  • Given the function f(x) = 4(2)x, Section A is from x = 1 to x = 2 and Section B is from x = 3 to x = 4.
    9·1 answer
  • Suppose that the log-ons to a computer network follow a Poisson process with an average of 3 counts per minute. (a) What is the
    15·1 answer
  • Please may someone help me with this I have been stuck on it for so long
    14·1 answer
  • Which list shows these numbers in order from least to greatest?
    14·1 answer
  • If I invest $1,000 at an 8.5% interest rate, how much money will I earn over 6 years?
    14·2 answers
  • The function H =f(t) gives the temperature, HF, of an object t minutes after it is taken out of the refrigerator and left to sit
    10·1 answer
  • Help! Give brainliest!
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!