Dimensional analysis

Dimensional Analysis

Answers

Answer 1

Answer:

On the LHS:

Frequency is measured in rad/s, or [tex]s^-^1[/tex];.

On the RHS: [tex]1/2\pi[/tex] is a-dimensional, forces are measured in newton, or [tex]kg\cdot m\cdot s^-^2[/tex]; masses are measured in kg, distances in m.

[tex][s^-1] = (\frac{[kg \cdot m\cdot s^-^2]}{ [kg \cdot m]}) ^\frac12 \\{[s^-^1]} = [s^-^1][/tex]


Related Questions

Which number replaces the question mark? 19 11 11 ? 12

Answers

Answer:

i think 12

Step-by-step explanation:

Answer:

4 + 3 + 2 = 9

Step-by-step explanation:

You have to add all the numbers in the cube.

These are the following ones.

19 = 4 + 8 + 7

11 = 2 + 8 + 1

11 = 5 + 5 + 1

4 + 3 + 2 = 9

12 = 2 + 7 + 3

0.94 written as a fraction in simplest form

Answers

Its simplest form in fraction is 47/50

7<2m-23 what is the answer if someone knows

Answers

Answer:

the answer is m > 15.

hope this helps!

there are 98 girls at Ross elementary there are 15 less boys then girls how many boys and girls are at Ross elementary​

Answers

Answer:

either 98 girls and 83 boys or 181 students in Ross elementary school

Step-by-step explanation:

98-15 is 83 so there are 98 girls and 83 boys there are also 181 students altogether.

A local hamburger shop sold a combined total of 387 hamburgers and cheeseburgers on Thursday. There were 63 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Thursday?

Answers

Answer:

350 hamburgers

Step-by-step explanation:

Let x = the number of hamburgers sold

Let x - 53 = the number of cheeseburgers sold

x + x - 53 = 647

2x = 700

x = 350 hamburgers

Steven walked 3 miles and drove 24 miles. Maureen walked 3 miles and drove
18 miles. Who has the greater ratio of miles walked/miles driven?

Answers

Maureen has the greatest ratio

a rectangle is made by joining two squares adjacent to each other as shown below. if one squared has an area of 144 squared centimeters what is the area of the rectangle?​

Answers

Answer:

Hello! After reading your question I have deduced that the correct answer is 288² cm.

Step-by-step explanation:

The way I came to this conclusion was as follows:

Firstly:

If said rectangle is two squares put side by side (adjacent), then a valid assumption is that both squares are the same size.

This is because all four sides of a square have to be equal.

Thus if the two squares are joined together on one side, then all the other sides of both the squares will be the same length.

Thus both of the squares are going to be the same size, so they will have the same area.

Secondly:

If the area of one square is 144² cm then the area of the other square should also be 144² cm.

Thus if you combine the areas of both the squares, that make up the rectangle, you are left with the area of the rectangle being 288² cm.

I hope this helped!

use the given circle. Find the length s to the nearest tenth A. 33.5 cm B. 8.4 cm C. 16.8 cm D. 5.3 cm​

Answers

Answer:

16.8

Step-by-step explanation:

s = ∅ × r

= 2π/3 × 8

= 16/3 * π

= 16.75516

= 16.8

Answer:

C.) 16.8 is your answer

Step-by-step explanation:

Surface integrals of vector fields Find the flux of the following vector fields across the given surface with the specified orientation . You may use either an explicit or parametric description of the surface across the slanted face of the tetrahedron x in the first octant ; normal vectors point upward . F= langle0,0,-1 rangle; z = 4-x - y

Answers

Step-by-step explanation:

Surface integrals of vector fields Find the flux of the following vector fields across the given surface with the specified orientation. You may use either an explicit or a parametric description of the surface. F =( 0,0,-1) across the slanted face of the tetrahedron Z=4-x-y in the first octant; normal vectors point upward

a patient is prescribed motrin 800mg, 1 tablet 3 times daily. What would the days supply be for 30 tablets?

Answers

Based on the number of tablets to be taken per day, the days supply for 30 tablets would be 10 days.

The patient is to take a tablet 3 times a day which means that they are to take:

= 1 x 3

= 3 tablets daily

If they have 30 tablets, this will last:

= Number of tablets / Tablets per day

= 30 / 3

= 10 days

In conclusion, it will take 10 days for the tablets to run out.

Find out more at https://brainly.com/question/13043215.

A rectangular garden is 5 ft longer than it is wide. Its area is 4550 ft. What are its dimensions?

Answers

Step-by-step explanation:

Area= lxb

L = 5+d

area= d(5+d)

4550=d²+5d

d²+5d-4550=0

d2+5d−4550=0

(d−65)(d+70)=0

d−65=0 or d+70=0

d=65 or d=−70

dimensions= 65, 70


Sue can ride her bike 14 km/hr faster than she can walk. It takes 17.5 min longer to walk 2.5 km
than to ride. Find Sue's walking speed.

Answers

Answer:

6 km/hr

Step-by-step explanation:

Sue can ride her bike 14 km/hr faster than she can walk. So for each step, add 14 km/hr.

Solve

[tex]-17.5r^2-245r+2100=0 \\\\r^2+14r-120=0 \\\\(r-6)(r+20)=0\\\\[/tex]

Therefore, it is 6.

Help help help help hep help help

Answers

Answer:

A' (-1,4)

B' (-4,3)

C' (-2,1)

Step-by-step explanation:

When reflecting a point across the y-axis, the x-coordinate changes signs, and the y-coordinate stays the same. The rule for a reflection across the y-axis is (x,y) -> (-x,y). For example, if we flip the coordinates (1,4) across the y-axis, new the coordinates are (-1,4).

Solve: y = -7(-13).

solve y

Answers

The negatives would cancel eachother out, so it would be y=7x13

Type that in a calculator it’s 91

Or you could do 7x10=70
7x3=21
21+70=91

Answer:

y = 91

Step-by-step explanation:

y = -7(-13)

=> y = 7(13)

=> y = 91

Question 11 (5 points)
22
Find the volume of the solid. Use
7
for II.
5 cm
1 cm
6 cm

Answers

Answer:

Volume of solid = 5 cm *  1 cm  * 6 cm = 30 cm³

Step-by-step explanation:

The formula for volume of solid = Length * Width * Height

pls help with 4 4/7 -

see attached pic​

Answers

We cannot see your picture but it should be 8/8

Solve 2 cot x = csc^2 x symbolically on the interval (0,2pi).

Answers

Answer:

x=pi/4, 5pi/4

Step-by-step explanation:

cot x = cos x / sin x, csc x = 1/sin x, so we have 2 cos x / sin x = 1/ sin^2 x. multiply both sides by sin^2 x to get 2 cos x * sin x = 1, divide both sides by 2 to get cos x sin x = 1/2, this would work for angles pi/4 and 5pi/4 (3pi/4 and 7pi/4 would make cos x sin x = -1/2) since cos x = sin x = sqrt(2)/2

What is the solution to (4 x 103) x (6 x 106), written in scientific notation?

Answers

Answer:

                       

Step-by-step explanation:

Answer is 2.4 x 10^10

What is the image of the point (-3, 4) after a rotation of 180° counterclockwise
about the origin?

Answers

Answer:

-3 ,-4

Step-by-step explanation:

Answer: ( 3 , -4)

Step-by-step explanation:

i got it wrong at first and it told me the right answer

The hypotenuse of a right triangle is three times the length of one of its legs. The length of the other leg is four feet. Find the lengths of the three sides of the triangle. For non-integer answer(s), round your answer(s) to the nearest tenth.
___ feet, ___ feet, ___ feet

Answers

Answer:

Step-by-step explanation:

Let the other leg = x

x^2 + 4^2 = (3x)^2

x^2 + 4^2 = 9x^2

4^2 = 9x^2 - x^2

16= 8x^2

16/8 = x^2

x^2 = 2

x = sqrt(2)

The lengths of the sides

x = sqrt(2)      

other side =4

hypotenuse = 3*sqrt(2)

x = 1.4

other side= 4

hypotenuse = 3*1.4142

hypotenuse = 4.2

plzz help its so confusing

Answers

espero que sea de tu agrado la tarea que te estoy enviando

soy de peru

brillith2022

There are 25 students in a class, and 6 of them will be chosen to go on a field
trip. How many ways can these students be chosen?

Answers

Answer: 150 ways.

Explanation: This question deals with a combination. To find the total number of ways these students may be arranged in a field trip, assuming that the combination does not repeat (there can only be one of each student in a given group of 6), one must simply multiply the number of students total, 25, by the number of students allowed in a group, which is 6. Therefore, 25 • 6 = 150, which gives us our answer.


6. Elena writes the equation 6x + 2y = 12. Write a new equation that has:
a. exactly one solution in common with Elena's equation
b. no solutions in common with Elena's equation
c. infinitely many solutions in common with Elena's equation

Answers

Answer:

2x ×2y=15. then solve for equation x and y

Help plz I don’t understand how to do this math below

Answers

1. [tex] \frac{1}{3} \times \frac{2}{5} \\ \frac{1 \times 2}{3 \times 5} = \frac{2}{15} [/tex]

2. [tex] \frac{2}{5} \div \frac{3}{5} \\ \frac{2}{5} \times \frac{5}{3} \\ = \frac{2}{3} [/tex]

- BRAINLIEST answerer

1. When multiplying fractions, multiply the numerators and multiply the denominators:

1/3 x 2/5 = (1 X 2) / (3 X 5) = 2/15

2. When dividing fractions multiply by the inverse of the second fraction.

2/5 / 3/5 = 2/5 x 5/3 = 10/15 = 2/3

Please solve these algebraic questions? THANKS

Answers

Step-by-step explanation:

Note: I'm only providing solutions for Problem 9.

9. Simplify the following by collecting like terms:

Combining like terms involve performing the required mathematical operations (using the PEMDAS rule).  The terms must have the same degree (or exponents).  

 

a) 3a + 7a  

Add the coefficients of both terms.  

3a + 7a  = 10a

b) 4n + 3n

Add the coefficients of both terms.  

4n + 3n = 7n

c) 12y - 4y

Subtract the coefficient of both terms.  

12y - 4y = 8y

d) 5x + 2x + 4x

Add the coefficients of all terms.  

5x + 2x + 4x = 11x  

e) 6ab - 2ab - ba

The last term, "ba," can be rewritten as, "ab."  Remember that with algebraic expressions such as "ab," it essentially involves multiplication of both variables within the same term. Thus, ab = a × b. The variables ab also have a numerical coefficient of 1:  1a × 1b.

Now, we can perform the subtraction on all terms:

6ab - 2ab - ab = 3ab.  

f) 7mn + 2mn - 2mn

Subtract 2mn from 2mn, which leaves you with 7mn:

7mn + 2mn - 2mn = 7mn  

g) 4y - 3y + 8

For this algebraic expression, you could only combine the terms with the same variable and degree. Therefore, you'll have to subtract 3y from 4y, leaving the constant, 8, unaffected.  

4y - 3y + 8 = y + 8

 

h) 7x + 5 - 4x

Similar to question g, only combine the terms with the same degree and variable, leaving the constant unaffected.

7x + 5 - 4x = 3x + 5

i) 6xy + xy + 4y

You could only combine the terms with the same set of variables and degree, which are the first two terms on this given question. You cannot combine the last term, 4y, into the other terms.  

6xy + xy + 4y = 7xy + 4y

j) 5ab + 3 + 7ba

Using the same reasoning as in question e: the last term, 7ba, can be rewritten as 7ab, for which you could combine with the first term, 5ab.

5ab + 3 + 7ba = 12ab + 3  

k) 2 - 5m - m  

Combine the like terms, which are the second and the last term.  

2 - 5m - m = 2 - 6m

l) 4 - 2x + x

Combine the like terms, which are the second and the last term.  

4 - 2x + x = 4 - x  

Precalc!! Please help

Answers

Answer:

Step-by-step explanation:

1

In this picture B,D, and F are midpoints. AC=50, CE=60, and BD=35
DF=[?]

Answers

Answer:

25

Step-by-step explanation:

AC=50  ∴BC=25

DF is the opposite of BC ( take it as a square BCDF)

Help help please last question please correct I’ll give points

Answers

Answer:

First is translation then dialation darlin

Step-by-step explanation:

i say this because of the size of grid

The equilateral triangle with side 12 has altitude

Answers

Step by step explanation

Expand 5(2x-4) please please

Answers

Answer:

10x - 20

Step-by-step explanation:

Distribute 5 to each of the terms within the parentheses to get 5(2x) - 5(4) = 10x - 20.

Other Questions
40% of the students in mr. Watsons class speak a second language. If 10 students speak a second language how many students are in mr. Watsons class If the principal is $3,200.00 and the rate of interest is 8%, what is the final account balance after 3 years Gemma made 106 beaded necklaces . Leah made 145 beaded necklaces. At a recent craft fair, Gemma sold each of her necklaces for $14. Leah sold each of her necklaces for $10 more. Who made more money at the craft fair? How much more? ( im using my brothers acc and he is 16) Seven times the sum of a number and three is equal to four times the number, decreased by eight. If X represents the number, which equation is correct A- 7(X + 3) = 4X - 8 B- 7(X + 3) = 4(X - 8)C- 7X + 3 = 4X - 8 Type the correct answer in the box. Spell all words correctly.Which document helps you pitch an idea to a financier?A summary of a screenplay, movie, or a TV show used as a marketing tool to sell or pitch an idea to a financier is a A sample of hydrogen sulfide, H2S, has a mass of 13.7513.75 g. Calculate the number of hydrogen sulfide molecules in the sample Yesterday, there were 96 problems assigned for math homework. Hanson got 72 out of 96 problems correct. What percentage did Hanson get correct? Type the missing digit in this number7,587_64 is divisible by 8. what does this story remind u of? explain 4 effects of war in the world A map was made with a scale in which 3 inches represents 450 miles. The actual distance between two cities is 1,350 miles. What is the distance between the same two cities on the map?6 inches What are the solutions to the equation sin(x+7pi/2)=-sqrt 3/2over the interval [0,2pi]? The process of using sunlight to convert carbon dioxide and water into sugar and oxygen is called? Ricardo wants to rent a personal watercraft for a beach party. Wavy Dave's charges $17.50 per hour plus a $20 fuel fee. Sun'N'Fun charges $15.00 per hour, plus a $30 fuel fee. After how many hours will Sun'N'Fun be cheaper than Wavy Dave's?A. Sun'N'Fun is cheaper than Wavy Dave's after 4 hours.B. Sun'N'Fun is cheaper than Wavy Dave's after 8 hours.C. Sun'N'Fun is never cheaper than Wavy Dave's.D. Sun'N'Fun is always cheaper than Wavy Dave's. Hemolysis is:O A) when a red blood cell is in a hypertonic solution and the cell rupturesO B) when a red blood cell is in a hypotonic solution and the cell rupturesO C) when a red blood cell is in a hypotonic solution and the cell shrinksO D) when a red blood cell is in a hypertonic solution and the cell shrinks n magical realist stories, what kind of tone do most authors use? Phillis wheatley is celebrated in american history as: What is the value of the rational expression 6-x/x+5 when x = 2?4/74/58/78/5 Read the passage.excerpt from the Conclusion section of Walden by Henry David ThoreauI left the woods for as good a reason as I went there. Perhaps it seemed to me that I had several more lives to live, and could not spare any more time for that one. It is remarkable how easily and insensibly we fall into a particular route, and make a beaten track for ourselves. I had not lived there a week before my feet wore a path from my door to the pond-side; and though it is five or six years since I trod it, it is still quite distinct. It is true, I fear, that others may have fallen into it, and so helped to keep it open. The surface of the earth is soft and impressible by the feet of men; and so with the paths which the mind travels. How worn and dusty, then, must be the highways of the world, how deep the ruts of tradition and conformity! I did not wish to take a cabin passage, but rather to go before the mast and on the deck of the world, for there I could best see the moonlight amid the mountains. I do not wish to go below now.After reading paragraphs 2-4, readers can infer that Thoreau believes people should make their own way in life rather than try to be like others.Which detail from the text best supports this inference?PLEASE HELP ONLY IF YOU KNOW THE CORRECT ANSWER ONLY!! PLEASE AND THANKYOU!! CORRECT ANSWERS ONLY!!A) "If a man does not keep pace with his companions, perhaps it is because he hears a different drummer."B) "I learned this, at least, by my experiment: that if one advances confidently in the direction of his dreams, and endeavors to live the life which he has imagined, he will meet with a success unexpected in common hours."C) "Shall we with pains erect a heaven of blue glass over ourselves, though when it is done we shall be sure to gaze still at the true ethereal heaven far above, as if the former were not?"D) "If the condition of things which we were made for is not yet, what were any reality which we can substitute?" Why isnt a dream made of matter?