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
aleksley [76]
2 years ago
11

Spherical water tank of radius R = 5m is emptied through a small circular hole of radius r = 0.03 m at the bottom. The top of th

e tank is open to the atmosphere. The instantaneous water level h in the tank (measured from the bottom of the tank, at the drain) can be determined from the solution of the following ODE:
dh /dt =r²(2gh)^0.5/ 2hR-h²
where g = 9.81 m/s². If the initial (t = 0) water level is h=6.5 m, compute the time required to drain the tank to a level of h= 0.5m. Use the fourth-order Runge-Kutta method.
Mathematics
1 answer:
tatuchka [14]2 years ago
7 0

Answer:

water level is h=6.5 m, compute the time required to drain the tank to a level of h= 0.5m. Use the fourth-order Runge-Kutta method.

Step-by-step explanation:

water level is h=6.5 m, compute the time required to drain the tank to a level of h= 0.5m. Use the fourth-order Runge-Kutta method.

You might be interested in
To go on the class trip, chang needs at least $125. he has saved $45, and he makes $7 an hour at his job. what is the minimum nu
Murljashka [212]
The total amount that Chang will received from his wages is the product of his hourly wage times the number of hours he has worked (n). His total savings should not be less than $125. The equation that best describes the situation is, 
                                    45 + 7n ≥ 125
Solving for n in the inequality gives an answer of n≥11.42 hours. Thus, he needs to work for at least 12 hours.
6 0
3 years ago
Read 2 more answers
RRudy will buy three at ivory silk fully lack trees or two per oak trees he wants to buy the trees the cost less what trees or h
puteri [66]
Could you word this better? Would love to help you out, but I'm not sure what the details for the question are.
3 0
3 years ago
PLZ ANSWER I WILL GIVE BRAINLIEST AND 100 POINTS!!!!!!!!!!!1
erma4kov [3.2K]

Answer:

9

Step-by-step explanation:

f(-6) means you plug -6 into x.

f(x)= −2/3x + 5

f(-6)= −2/3(-6) + 5

f(-6)= 4 + 5

f(-6)= 9

6 0
3 years ago
Read 2 more answers
A circular cylindrical container, open at the top, and having a capacity of 24pi cubic inches, is to be manufactured. If the cos
otez555 [7]

Answer: radius r = 2 inches

height h = 6 inches

Step-by-step explanation:

Given;

Volume V = 24πin3

Volume of a cylinder is given by

V = πr^2h

h = V/πr^2. ....1

Where, h = height and r = radius of cylinder

For the surface area of the cylinder with open top. we have,

S = 2πrh + πr^2

For the cost of materials used, let k represent the cost of materials used for the body of the cylinder.

Then, for the bottom will be 3k

Total cost will be represented by C, which gives

C = 2πrhk + 3πr^2k. .....2

Substituting eqn 1 to 2, we have;

C = 2πrVk/πr^2 + 3πr^2k

C = 2Vk/r + 3πr^2k

The material cost is minimum at dC/dr = 0

dC/dr = -2Vk/r^2 + 6πrk =0

6πrk = 2Vk/r^2

r^3 = 2V/6π

r = (2×24π/6π)^-3

r = (8)^-3

r = 2

Substituting r = 2 into eqn1

h = 24π/π(2^2)

h = 24/4 = 6

h = 6

5 0
3 years ago
Vectors and scalars (are/arenot) the same
dangina [55]
There not the same
vectors have magnitude and direction scalars on the other hand only have magnitude
6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the length of segment BC? (4 points) A coordinate plane is shown. Point B is located at negative 3, negative 2, and poin
    12·1 answer
  • Sarah is testing different types of planting soil to determine which type is most effective in growing blueberry bushes. She pur
    10·2 answers
  • Minossoo is training for cross country in the fall. He ran 5 miles east. Then he turned around and ran 4 miles west. Draw and la
    15·1 answer
  • Idk how to answer this
    12·1 answer
  • james has a card collection with 64 basketball cards, 32 football cards, and 24 baseball cards. he wants to arrange the cards in
    10·1 answer
  • Find the measure of angle x in the figure attached<br><br> A) 35°<br> B) 48°<br> C) 69°<br> D) 78°
    8·1 answer
  • Find the value<br> 100cm-10mm
    7·2 answers
  • First choose the appropriate inequality symbol and then drag and drop numbers into the
    6·1 answer
  • How many kg in 5003400 mg
    9·2 answers
  • A department manager recently launched a new initiative so the members of her department can more easily present innovative idea
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!