The FM radio station KAMB broadcast from an antennae atop a 150 meter tall radio tower at a frequency of 90 MHz with a total radiated power of 40 kilowatts. Neighbors have complained about problems they attribute to excessive radiation from the tower, but the city engineer who measured the radiation level near the base of the tower found it to be well below the accepted standard. You have been hired by the HOA to assess the engineer's report. You know a few things about electromagnetic radiation and therefore conclude that we must find the optimum place on the ground to measure the maximum radiation emitted from the antennae. From your extensive knowledge in physics, you know that the intensity of radiation, I, is given by the formula:
I=12/32π*Psin2(θ)/r^2
where P is the power output, r is the distance from the top of the tower to the point on the ground, and θ is the angle measured from the tower to r.
Find the distance R from the base of the tower to the optimum location for taking the radiation reading. (m)
What is the maximum radiation reading from the ground in kw/m^2
If the city code requires that electromagnetic radiation be under 200 microwatts per square meter, is this antenna operating within city code? Yes or No
Answers
Answer: 150 m, 5.305*10^-5 kW/m^2, No
Step-by-step explanation:
See attachment, hope this helps
Using the radiation intensity formula we will have to:
a) [tex]150 m[/tex]
b) [tex]5.305*10^{-5} kW/m^2[/tex]
c)No
From the data informed, we have:
[tex]h=150m\\P=40KW[/tex]
Using the given formula and performing some mathematical operations:
[tex]I=\frac{12Psin^2(\theta)}{32(\pi)r^2} \\I= \frac{12(40)(R/r)^2}{32(\pi)r^2} \\= \frac{15R^2}{r^2\pi } \\= \frac{15R^2}{(R^2+150^2)^2\pi} \\[/tex]
deriving the given equation, we will have:
[tex]=\frac{(R^2+150^2)^22R-R^2(2(R^2+150^2))2R}{(R^2+150^2)^2}[/tex]
So from this equation we have that the answer of the letter A corresponds:
[tex]R=150[/tex]
For letter B we will have to develop this equation:
[tex]I= 5.30X10^{-5}[/tex]
As for the letter C, when converting the value found, it should give 200 microwatts, which is false.
Learn more: brainly.com/question/10148635
Related Questions
An electronics store had a special sale on two different models of calculators. The more high-tech model sold for $33.02 and
the older model sold for $18.55. All together, 28 calculators were sold. Total sales came out to $736.45. Which system of
equations can be used to determine how many high-tech models were sold, x, and how many older models were sold, y?
Answers
Answer:
$736.45/$33.02 = 22.30 high tech
x($33.02) = $736.45
$736.45/$18.55 = 39.70 older models
y($18.55) = $736.45
What is the slope of the line that passes through (0, 7) and (3, 10)?
Answers
Answer:
slope = 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (3, 10 )
m = [tex]\frac{10-7}{3-0}[/tex] = [tex]\frac{3}{3}[/tex] = 1
Will give brainliest!
Answers
Answer:
1[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
17/20 + 7/20
17+7=24
24/20 =1.2
1 [tex]\frac{4}{20}[/tex]
can simplify to be 1[tex]\frac{1}{5}[/tex]
Answer:
1 1/5
Step-by-step explanation:
17/20 + 7/20 is equal to 24/20. Because the denominater (20 in this case) is the same we can leave it there and just add the numerator.
Now to simplify into a proper fraction. We know that only 1, 20 goes into 24 because if there was 2, 20's it would be 40 which is greater than 24. So 24 - 20 is 4. Therefore the answer is 1 4/20 which can be simplified to 1 1/5
Please help me!!
Find the absoutle value
7) /-5.5/
9) /14 1/3/ *1/3 is a fraction next to the the whole number 14*
6) /5 3/4 *3/4 is a fraction next to the whole number 5*
10) /-7.75/
14) 135.41
PLS WILL MARK BRAINLIST
Answers
7) 5.5
9) 4.6666666666666666… 7
6) 3.75
10) 7.75
14) 135.41
Evaluate [tex]\frac{15}{k}[/tex] when k =3
Answers
Damon drove 120 miles in 2 hours and Ashley drove 135 miles in 2.3 hours Ashley insists that she was traveling at a faster rate than Damon Is she accurate?
Answers
Ashley is incorrect, they’re traveling at the same rate. hope this helped
Help very quick ! thank youuuuuuuuuuuuuu
Answers
hope this helps
She spent 2 hours and 45 minutes.
PLS HELP ASAP ILL GIVE BRAINLKEST I PROMISE ITS DUE IN A FEW HOUR
Answers
question 1. is 2
question 2 -13
Answer: Question 2 answer is 4 Question 3 answer is 12
Step-by-step explanation:
Question 2: 42*4=168
43*5=210
MATHS MIDDLE SCHOOL ANSWER ASAP PLEASE
Answers
Answer:
A. 1
B. -1
C. 5
Step-by-step explanation:
A. Using the Formula, we get u sub 2 = 9-9+1, which is just 1
B. Using the Formula, we get u sub 3 = 1-3+1, which is equal to -1
C. Using the Formula, we get u sub 4 = 1-(-3)+1, which is just 1+3+1 = 5
Determine whether the statement is always, sometimes, or never true.
If △JKL ≅ △MNP, then m∠L = m∠N.
Complete the explanation of your reasoning.
The statement is always/ sometimes/ never true.
∠L corresponds to ∠P.
By [CPCTC/ Triangle Sum Theorem/ SAS Triangle Congruence Theorem], ∠L ≅∠P.
If ∠P ≅∠N, then ∠L [≅/≇ ] ∠N by [CPCTC/ Triangle Sum Theorem/ SAS Triangle Congruence Theorem], ∠L ≅∠P.
and m∠L [≅/≇ ] m∠N.
Please help this is on HMH I will give Brainliest if it's right! :)
Answers
Answer:
I am pretty sure the correct answer is never true
Step-by-step explanation:
This is because when,
Δ JKL ≅ Δ MNP
Then, ∠J ≅ ∠M
∠K ≅ ∠N
∠L ≅ ∠P
so ∠L ≠ ∠N
i hope this is right haha
One cup of coffee needs 2 spoons of milk. If one bottle of milk has 50 spoons, write an inequality representing the possible cups of coffee one bottle of milk can make.
Answers
Cups of coffee = c
b less than or equal to 25c
Where can Anne be found in the video?
This is the only known video of Anna frank. Answer using a single word,and lower case letter
Answers
Answer:
Step-by-step explanation:
An instant best-seller and eventually translated into more than 70 languages, The Diary of Anne Frank has served as a literary testament to the nearly six million Jews, including Anne herself, who were silenced in the Holocaust. The Frank family’s hideaway at Prinsengracht 263 in Amsterdam opened as a museum in 1960
srry i dont know but here
Please help!
.
.
.
.
.
Answers
Answer:
9
Step-by-step explanation:
To calculate the value of x we must first understand the total value of all angles in a triangle.
Sum of all angles in a triangle = 180 degrees
That said, we need to write an equation for the total number of degrees in the triangle and solve for x
This will be as follows:
(13x+2)+(5x-7)+(3x-4)=180
The we combine the like terms. This will be as follows:
(13x+5x+3x)+(2-7-4)=180
Simplify further to get
21x-9=180
Simplify further by collecting all like terms on one side of the equal. This will entail the addition of 9 on each side of the equal sign as follows:
21x-9+9=180+9
you will find 21x=189
Simplify further by dividing both sides of the equal sign by 21 to solve for x
21x/21=189/21
Therefore x=9
Reindeers eat 62 apples an hour, there is 24 hours in a day, how many do they eat
Answers
multiply the numbers and that will be your answer.
How to do matrix multiplication.
Answers
Answer:
A Matrix is an array of numbers:
2x3 Matrix
A Matrix
(This one has 2 Rows and 3 Columns)
To multiply a matrix by a single number is easy:
Matrix Multiply Constant
These are the calculations:
2×4=8 2×0=0
2×1=2 2×-9=-18
We call the number ("2" in this case) a scalar, so this is called "scalar multiplication".
Please help me solve this problem ASAP !
Answers
can someone pls help me
Answers
Answer:
The independent variable is the week's, the dependent variable is the height in inches.
Step-by-step explanation:
The independent variable is the variable that when changed, something changes because of it. So for example, for plant A, in 2 weeks (independent) thevplant will grow 2 inches (dependent). The dependent variable is the variable that changes because of the independent.
Extra Information is below
Y-intercept: The y-intercept is when the line crosses with the line when the x-axis is 0. For example, plant B is by 0 weeks, it was 4 inches. The y-intercept will be 4 inches because that is where the plant started before any change in the independent variable.
Slope: Y = mx + b. To get the answer for this equation, you first need to find out the constant, the constant if we're using plant A, is 6. The constant is also the y-intercept. The equation will look like Y = mx + 6. The m is the number that when multiplied with the independent variable, then added with the constant, you get y. The m for plant A is 1, the equation should look like y = 1x + 6. Now change the x with the independent variable in the table. The independent variable is 2, so y = 1(2) + 6, y = 2 + 6, y = 8.
What is the slope of this line?
A - 1/5
B 5
C -5
D 1/5
Answers
Answer:
It is 1/5
Step-by-step explanation:
rise/run and it rises by one and runs by 5.
Tim needs a total of $499 to buy an ipad. He has $187. How much more money does he need to save to buy the Ipad?
Answers
Answer:
312
Step-by-step explanation:
499-187
Answer: Tim needs to save $312 more.
Step-by-step explanation: To find the answer, subtract. $499 minus $187 equals $312. Hope this helps! :>
Question 7 of 10
If P(A) = 3/4, P(B)=1/2 , and P(AUB)=11/12 what is P(A n B)?
A. 1/3
B. 3/4
C. 3/8
D. 1/12
Answers
P(A n B) = P(A U B) - P(A) - P(B)
= 11/12 - 3/4 - 1/2
= (11 - 9 - 6)/12
= 4/12
= ⅓
find the slope and y intercept.
Answers
Answer:
slope= -2/5
y intercept b= (0,2)
How to find displacement from velocity.
Answers
Answer:
The average velocity of the object is multiplied by the time traveled to find the displacement. The equation x = ½( v + u)t can be manipulated, as shown below, to find any one of the four values if the other three are known.
cahahahahhddbsbshshsjs 98 +_=366
Answers
Answer:
268
Step-by-step explanation:
366 minus 98= 268
CAN I GET BRAINLIEST
You get the final amount given minus that by the first number given you will get the answer for this case it would be.
366-98 that would be 268
Help me please!!!!!!!!!!!!!!!!!!
Answers
Answer:
d.
took the test
Step-by-step explanation:
HELPPPP!!! please answer the question in the picture below
Answers
=================================================
Solution:[tex] \rightarrow [/tex]Formula: Amount = P x (1 + R x T)
[tex] \rightarrow [/tex] = 1,400 x (1 + 3.4% x 4)
[tex] \rightarrow [/tex] = 1, 400 x (1 + 0.034 x 4)
[tex] \rightarrow [/tex] = 1,400 x (1 + 0.136)
[tex] \rightarrow [/tex] = 1,400 x 1.136
[tex] \rightarrow [/tex] = 1,590.4
Please solve: 7x - 4 = 2
Answers
add four on both sides
7x = 6 ⬇️
divide both sides by seven to isolate X
x = 6/7
converted to decimal form: 0.85714285714...
You exercised 24 hours each month for a year. How many hours did you exercise by the end of the year
Answers
Answer:
24 x 12 = 288 hours
Step-by-step explanation:
What is 1+1?
I really need this answer i dont know it
Answers
Answer:
2
Step-by-step explanation:
What is the slope of the line?
Answers
Answer:
[tex]m=\frac{2}{3}[/tex]
Step-by-step explanation:
We can see that some of the points that are plotted we can tell what those plots are (-2, 0) (1, 2) (4, 4)
We use the slope formula [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] for any of the two plots that are shown on the line
Answer:
2/3
Step-by-step explanation:
HELP WOULD BE APPRECIATED
Answers
Answer:
For the second one would be 36°