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
Roman55 [17]
3 years ago
10

Fiber-optic cables are used widely for internet wiring, data transmission, and surgeries. When light passes through a fiber-opti

c cable, its intensity decreases with the increase in the length of the cable. If 1500 lumens of light enters the cable, the intensity of light decreases by 3.4% per meter of the cable. Write a function f(x) to represent the intensity of light, in lumens, when it has passed through x meters of the cable.
Physics
1 answer:
Gwar [14]3 years ago
5 0
After one meter, 3.4% of the light is gone ... either soaked up in the fiber
material or escaped from it.  So only  (100 - 3.4) = 96.6% of the light
remains, to go on to the next meter.

After the second meter,  96.6%  of what entered it emerges from it, and
that's  96.6%  of  96.6%  of the original signal that entered the beginning
of the fiber.

==>  After 2 meters, the intensity has dwindled to  (0.966)² of its original level.
It's that exponent of ' 2 ' that corresponds to the number of meters that the light
has traveled through.

==>  After  'x'  meters of fiber, the remaininglight intensity is (0.966) ^x-power
of its original value.

If you shine 1,500 lumens into the front of the fiber, then after 'x' meters of
cable, you'll have
                                                     <em>(1,500) · (0.966)^x</em>
lumens of light remaining.
 
=========================================

The genius engineers in the fiber design industry would not handle it this way.
When they look up the 'attenuation' of the cable in the fiber manufacturer's
catalog, it would say  "15dB per 100 meters".

What does that mean ?    Break it down:  15dB in 100 meters is <u>0.15dB per meter</u>.
Now, watch this:

Up at the top, the problem told us that the loss in 1 meter is  3.4% .  We applied
super high mathematics to that and calculated that  96.6% remains, or  0.966.

Look at this  ==>      10 log(0.966) =  <em><u>-0.15</u>  </em>  <==  loss per meter, in dB .

Armed with this information, the engineer ... calculating the loss in  'x'  meters of
fiber cable, doesn't have to mess with raising numbers to powers.  All he has to
do is say ...

--  0.15 dB loss per meter

--  'x' meters of cable

--  0.15x dB of loss.

If  'x' happens to be, say,  72 meters, then the loss is  (72) (0.15) = 10.8 dB .

and  10 ^ (-10.8/10) = 10 ^ -1.08 = 0.083  =  <em>8.3%</em>  <== <u>That's</u> how much light
he'll have left after 72 meters, and all he had to do was a simple multiplication.

Sorry. Didn't mean to ramble on. But I do stuff like this every day.
You might be interested in
Antimony is like a nonmetal in that it is a brittle, crystalline solid, has poor electrical and heat conductivity, and has a low
Reil [10]

Answer is B. It is a metalloid.

Metalloid is a chemical element that has characteristics of both metals and non- metals.

Antimony is brittle,is a poor conductor of heat and electricity,has a low boiling point and is a crystalline solid. These are some of the characteristics which a non-mechanical has.

It can also be classified as a metal due to its ability to form alloys easily and due to it's shiny silver appearance.Antimony alloys are used in batteries.


8 0
4 years ago
You place an 8 kg ball on the top of your 2 cm^2 finger tip. Calculate the
Rashid [163]

Answer:

the pressure exerted by the object is 392,000 N/m²

Explanation:

Given;

mass of the object, m = 8 kg

area of your finger, A = 2 cm² = 2.0 x 10⁻⁴ m²

acceleration due to gravity, g = 9.8 m/s²

The pressure exerted by the object is calculated as;

Pressure = \frac{F}{A} = \frac{mg}{A} = \frac{8 \times 9.8}{2\times 10^{-4}} = 392,000 \ N/m^2

Therefore, the pressure exerted by the object is 392,000 N/m²

7 0
3 years ago
Explain thermodynamics?
Maurinko [17]

Explanation:

the branch of physical science that deals with the relations between heat and other forms of energy (such as mechanical, electrical, or chemical energy), and, by extension, of the relationships between all forms of energy

7 0
4 years ago
Read 2 more answers
What is one of the drawbacks to the use of solar energy for generating electricity?
-Dominant- [34]
Solar energy is one of the renewable energy sources that is invested around the world because of its large potential. the sun as a free source can sometimes bring a drawback. one of the drawbacks is that it cannot be harnessed when storms or rains are present in the weather. it is also expensive and young.
7 0
3 years ago
Suppose that the centripetal force acting on an object in circular motion were doubled to a new value, and the object remained i
Lilit [14]

Explanation:

Centripetal force is mass times centripetal acceleration:

F = m v² / r

If force is doubled while mass and radius are held constant, then velocity will increase.

2F = m u² / r

2 m v² / r = m u² / r

2 v² = u²

u = v√2

So the velocity increases by a factor of √2.

6 0
4 years ago
Other questions:
  • Find the final price of a 10-speed bike whose original price was $150.00 with a 10% discount and a 6% sales tax.
    5·1 answer
  • An object accelerated from rest with a constant acceleration of 5.2 m/s^2, what will its velocity be after 3 s
    13·1 answer
  • What is a translucent object?​
    8·2 answers
  • Witch of the statements about water is true?
    7·1 answer
  • A 0.145-kg baseball pitched horizontally at 35.0 m/s strikes a bat and is popped straight up to a height of 40.0m. If the contac
    8·1 answer
  • A charged comb picking up bits of paper is an example of electrical conduction.
    9·1 answer
  • In February 2004, scientists at Purdue University used a highly sensitive technique to measure the mass of a vaccinia virus (the
    6·1 answer
  • A macro element that is a component of ATP
    13·2 answers
  • If bullets are fired from an airplane in the forward direction of its motion, the momentum of the airplane will be:_______
    13·1 answer
  • 28. unbalanced forces cause an object to
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!