Given the steady, incompressible velocity distribution v = 3xi- Cyj+0k, where C is a constant, if conservation of mass is satisfied, what is the value of C? What is the corresponding acceleration?

Answers

Answer 1

The value of C is 3 and the corresponding acceleration is 0 m/s^2.

The value of C is 3, and the corresponding acceleration is 0 m/s^2.

The velocity field given can be written as v = 3xi - Cyj + 0k. Since the flow is steady and incompressible, conservation of mass must be satisfied. This means that the divergence of the velocity field must be zero:

div(v) = ∂(3x)/∂x + ∂(-Cy)/∂y + ∂(0)/∂z = 3 - C = 0

Solving for C, we get C = 3.

The acceleration can be found using the formula for the acceleration of a fluid particle:

a = dv/dt = (du/dt)i + (dv/dt)j + (dw/dt)k

Since the flow is steady, the acceleration is zero:

a = 0i + 0j + 0k = 0 m/s^2

Therefore, the value of C is 3 and the corresponding acceleration is 0 m/s^2.

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Related Questions

what do you observe about the form of the equation of any circle whose center is at the point of origin​

Answers

Ce clasă ești sa văd daca te pot ajuta

1.) 87.743
2.)123.789
3.) 3256.1254
4.) 102356.78
5.) 78.56
Round to whole number..​

Answers

Answer:

1.)88

2.)124

3.)3256

4.)102357

5.)79

Step-by-step explanation:

what would be the reminder of 20,000 divided by 24 ?

Answers

Answer:

I think 2500..not sure tho

Step-by-step explanation:

please help me on this will give you brainliest

Answers

Answer:

The answer is really simple. Add 33 and 67 then subtract it from 180 and the answer is 80.

Answer:

x=80 degrees

Step-by-step explanation:

upper right corner angle =67 degrees because it is a corresponding congruent angle.

The sum of all the inside angles of all triangles is 180 degrees.

180-33-67=x

x=80 degrees

A sum amount to $2400 at 15% simple interest per annum after 4 years. Find the sum

Answers

Answer:

1500

Step-by-step explanation:

We can required to find the sum which also means the value

Future value= value × [ 1 + rate×time]

2400= value × [1 + 15/100×4]

2400= value × [1 + 0.15×4]

2400= value × [1+0.6]

2400= value × 1.6

Value= 2400/1.6

= 1500

what is slope of (12.-18) and (-15.-18).​

Answers

Answer:

3

Step-by-step explanation:

The slope (m) is 0.
The formula you’ll use is y2-y1/x2-x1

plz solve it
all the 3 sub questions
chapter quadrilaterals
9 cbse ​

Answers

Answer:

I edited answer

hope it helped

2x x 5z x y
simplify the equation ​

Answers

Answer: The simplified form of 2x · 5z · y is 10xzy.

Step-by-step explanation:

Suppose f(x)=x^2 +1. Find the graph of 4 f(x).
Graph 1
Graph 2

Answers

Answer:

Graph 1.

Step-by-step explanation:

The graph of f(x) will be compressed by a factor 4 and the vertex will be 4 units up from the origin.

Can someone please help me!!! Ill mark brainliest!!

Answers

Answer: 252 ft

Find the area of the whole thing, then find the area of the green rectangle, then subtract to find the answer.

please help and be correct please :( have a explanation also

Answers

Answer:

Part A: 3 bowls    Part B: See Below

Step-by-step explanation:

Part A: If he uses 1/6 to make ONE bowl, 3/6 is one half so he can make THREE bowls.

Part B: Just draw the fact of 1/2 being equal to 3/6 there for making 3 bowls and you'll be good! :)

Hope this Helped! ^ - ^

Garrett needs 3 3 gallons of fruit juice to make punch. He already has 56 5 6 gallon of grape juice and 23 2 3 gallon of orange juice. Drag amounts of juice that he can add to the juice he already has to make exactly 3 3 gallons. Juice Garrett has. Grape juice is labeled five-sixths gallon. Orange juice is labeled two-thirds gallon. CLEAR CHECK Orange juice labeled one-third gallon. Green juice is labeled one-sixth gallon. Juice Needed

Answers

Answer:

no por que ella no te ama lo siento

How do you write 75% as a unreduced fraction

Answers

Answer:75/100

Step-by-step explanation:

75%=75/100

Answer:

75/100

Step-by-step explanation:

reduced fractions of this include but are not limited too: 3/4 6/8 12/16 24/32 48/64

Select all the statements that are true about rhombuses. Group of answer choices
Opposite angles are congruent.

Diagonals are congruent.

Diagonals bisect each angle.

Diagonals are perpendicular.

Opposite sides are parallel.

Answers

Step-by-step explanation:

By method of elimination;

- Opposite angles are congruent

Congruent means Equal

This is correct.

- Diagonals are congruent

This is incorrect.

- Diagonals bisect each angle.

This is correct.

- Diagonals are perpendicular.

This is correct.

- Opposite sides are parallel.

This is correct.

Answer:

- Opposite angles are congruent

- Diagonals bisect each angle.

- Diagonals are perpendicular.

- Opposite sides are parallel

Pepper has 7.5 bags to clear 12 yd squared to distribute evenly among the beds . About how many bags will she need to use for each square yard?

Answers

Answer:

5/8 bags

Step-by-step explanation:

Pepper ha 7.5 bags

These bags are needed to clear 12 yards squared equally

Therefore the number of bags required for each square yard can be calculated as follows

= 7.5/12

= 0.625

0.625 to fraction is 5/8

Hence 5/8 bags is needed for each square yard

Express two-thirds of age gap in terms of y if the age gap between a father and a daughter is y years

Answers

Answer:

(2/3)y

Step-by-step explanation:

Given that :

Age gap between father and daughter = y

2/3 of the difference in their ages expressed as in terms of y ;

2/ 3 * y

(2/3)y

A point P os equi distant from R(-2,4) and S(6,-4) and its x co ordinate is twice its Y co ordinate find co ordinates of P

Answers

Answer: [tex]P(-4,-2)[/tex]

Step-by-step explanation: Distance between two points is calculated as

[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

Equidistant means the same distance, i.e., the distance between points P and R is equal to the distance between points P and S.

Suppose P's y-coordinate is a. If its x-coordinate is double, then

(x,y) = (2a,a)

Thus

[tex]\sqrt{(2a+2)^{2}+(a-4)^{2}} =\sqrt{(2a-6)^{2}+(a+4)^{2}}[/tex]

Solving

[tex]4a^{2}+8a+4+a^{2}-8a+16=4a^{2}-24a+36+a^{2}+8a+16[/tex]

[tex]5a^{2}+20=5a^{2}-16a+52[/tex]

[tex]-16a=32[/tex]

[tex]a=-2[/tex]

y-coordinate is [tex]-2[/tex], then x-ccordinate is

2a = 2(-2) = [tex]-4[/tex]

Coordinates of point P equidistant for R and S is [tex](-4,-2)[/tex].

i really need help with this

Answers

Answer:

A+6+A = 20

A = 7

Step-by-step explanation:

J = number of problems Juana completed

A = number of problems Andy completed

J+A=20

J = A + 6

Replace J with A+6 in the first equation

A+6+A = 20

2A +6 = 20

Subtract 6 from each side

2A +6-6 = 20-6

2A =14

Divide by 2

2A/2 = 14/2

A = 7

Answer:

7

Step-by-step explanation:

set up your two equations.

j + a = 20. equation 1

j = a + 6. equation 2

since you know that j = a + 6, you can substitute a + 6 into the place of j. this is because you want to isolate a in order to find out how many problems andy completed.

j + a = 20

a + 6 + a = 20

now solve.

2a + 6 = 20

2a = 14

a = 7

andy has completed 7 problems. if juana completed 6 more than andy, then she has completed 13. 13 + 7 = 20.

You conduct a simulation regarding students scores on a physics test. Your null hypothesis is
that the mean score on the test is less than or equal to 80 points. Your alternative hypothesis is
that the mean score is greater than 80 points.
You determine that the results of your simulation have a p-value of 0.06. What does this mean?

Answers

Under the tested hypothesis, the outcome of the simulation has a probability of 6%. With a significance level of 5%, you should FAIL to reject the null hypothesis.

The p-value is the probability of getting true null hypothesis.

What is Null Hypothesis and Alternative Hypothesis?

Null hypothesis is a hypothesis of a test which assumes that there is no statistical relationship between two variables. This is the hypothesis which is being testes.

Alternative hypothesis assumes that there is a relationship between two variables.

Given that,

You conduct a simulation regarding students scores on a physics test.

Null hypothesis is that the mean score on the test is less than or equal to 80 points.

Alternative hypothesis is that the mean score is greater than 80 points.

p value = 0.06 = 6%

This means that there is only a 6% that the null hypothesis of yours is true.

So the p value tells you the probability of getting a true null hypothesis.

Hence the p value is the probability of getting true null hypothesis.

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Enter 2/5 and 1/3 as a pair of equivalent fractions with the least common denominator between the two fractions.

Answers

Answer:

2/5 = 6/15

1/3 = 5/15

Step-by-step explanation:

LCD of 5 and 3 is 15.

So 2/5 = 2*3/15 = 6/15

and

1/3 = 5*1 / 15 = 5/15

Drew has more than 4 times as many baseball cards as mark. Katie has fewer than half as many cards as mark. Mark has m baseball cards

Answers

Answer:

Cards with Mark = 30

Cards with Drew  = 120

Cards with Katie = 12

Step-by-step explanation:

The complete question is

Drew has 4 times as many baseball cards as Mark. Katie has 3 fewer than than half as many cards  as Mark. In all they have 162 baseball cards. How many does each have?

Solution -

Let the number of cards with Mark be "X"

Number of cards with Drew = 4 *X = 4X

Number of Cards with Katies = 0.5 X -3

Sum of all the cards is equal to 162

X+4X + 0.5 X -3 = 162

5.5 X = 165

X = 30

Cards with Mark = 30

Cards with Drew = 4 * 30 = 120

Cards with Katei = 15-3 = 12

What do these circles have in common?

Answers

They are all circles

Answer:

They are all circles? I dont really know how to explain it so that is all I got to say

Step-by-step explanation:

Which of the following answers would have
no solution?
X=3
5=3
2=2

Answers

Answer:

no entiendo me explican que significa por fa

The answer to the following would be because the others are possible 5=3

Find the value of 200 + 9 + 0.3 +0.001.​

Answers

Answer:

209.301

Step-by-step explanation:

(help) Evaluate the expression 9y - 4(4) + y3 when y = 2.

Answers

Answer:

9y - 4(4) + y³= 18-16+8=10

HELPPP. i need help with this i have trouble with ordered pairs

Answers

the second one i got (0,-2) first one i got (0,9)

What number goes in the blank? (-3)(?)=36 *

Answers

Answer:

-12

Step-by-step explanation:

-3x=36

x=36/-3

x=-12

Answer:

-12

Because (-3)(-12)=36

any negative number multiplied by another = positive number :3

Han's family got a solar panel. Each month they get a credit to their account for the electricity that is generated by the solar panel. The credit they receive varies based on how sunny it is. In January they used $83.56 worth of electricity and generated $6.75 worth of electricity. Here is their electricity bill from January. Current charges: $83.56 Solar Credit: -$6.75 Amount due: $76.81 1) In July they were traveling away from home and only used $19.24 worth of electricity. Their solar panel generated $22.75 worth of electricity. What was their amount due in July?

Answers

Answer:

-$3.51

Step-by-step explanation:

Given that :

Current charges:

$83.56 Solar Credit: -$6.75

Amount due: $76.81

July they were traveling away from home and only used $19.24 worth of electricity. Their solar panel generated $22.75 worth of electricity. What was their amount due in July

Worth of electricity used in July = $19.24

Worth of electricity generated by solar = - $22.75

Electricity used in July + solar credit charge

$19.24 - $22.75

= -$3.51

Geometry help, please!!!
provide the missing reasons for the proof.
Given: Prove: ΔABC ~ ΔDBE
_____________________________________________
picture provided below

Answers

Answer:

1: Given

2: Verical angles are always congruent

3: Angle Angle theorem

Which table and graph represent the equation y = 3X?
—————————
a.table B and graph A
b.table B and Graph B
c.table A and graph B
d.table A and graph A

Answers

Answer:

d. table A and graph A

Step-by-step explanation:

y=3x

y = 3X is represented by graph B .

y = 3X is represented by table A .

Hence option C is correct .

Given, Equation : y = 3X

Now, to get the values of y substitute x.

Firstly table A:

y = 3X

x = 1 : y = 3

x = 2 : y = 6

x = 3 : y = 9

Thus table A represents the equation .

Next graph B :

Starting point of graph B is origin.

Coordinates of origin : (0,0)

Equation of graph B : y = 3X

Thus graph B represents the equation .

Therefore option C is correct .

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