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
pashok25 [27]
2 years ago
7

"The two equations below express conservation of energy and conservation of mass for water flowing from a circular hole of radiu

s 3 centimeters at the bottom of a cylindrical tank of radius 20 centimeters. In these equations, delta m is the mass that leaves the tank in time delta t, v is the velocity of the water flowing through the hole, and h is the height of the water in the tank at time t. g is the accelertion of gravity, which you should approximate as 1000 cm/s2
The first equation says that the gain in kinetic energy of the water leaving the tank equals the loss in potential energy of the water in the tank.
1/2 delta m v2 = delta m gh
The second equation says that the rate at which water leaves the tank equals the rate of decrease in the volume of water in the tank (which is conservation of mass because water has constant density)
pi 102^2 dh/dt = pi 3^2 v
Derive a differential equation for the height of water in the tank.
If the initial height of the water is 30 centimeters, find a formula or the solution.
According to the model, how long does it take to empty the tank?
Another way to solve this differential equation is to make the substitution w = underroot h. What is the differential equation that w satisfies?
Physics
1 answer:
Leno4ka [110]2 years ago
5 0

Answer:

The two equations below express conservation of energy and conservation of mass for water flowing from a circular hole of radius 3 centimeters at the bottom of a cylindrical tank of radius 10 centimeters. In these equations, delta m is the mass that leaves the tank in time delta t, v is the velocity of the water flowing through the hole, and h is the height of the water in the tank at time t. g is the acceleration of gravity, which you should approximate as 1000 cm/s2.

shdh

You might be interested in
The probability that a battery will last 10 hr or more is 0.8, and the probability that it will last 15 hr or more is 0.11. Give
podryga [215]
We are given with the data that says the probability that a battery will last 10 hr or more is 0.8 and the probability <span>that it will last 15 hr or more is 0.11. In this case, the probability that the battery lasts at least 10 hours and even 15 hrs more is 0.11 / 0.8 or equal to 13.75 percent.</span>
5 0
3 years ago
Write the answer:<br>physics ... i need help ​
Mariana [72]

Answer:

6 gallons

Explanation:

At 30 mph, the fuel mileage is 25 mpg.

After 5 hours, the distance traveled is:

30 mi/hr × 5 hr = 150 mi

The amount of gas used is:

150 mi × (1 gal / 25 mi) = 6 gal

7 0
3 years ago
The relationship that exists between gravity and distance and mass respectively.
ruslelena [56]

Answer:

D...............................

7 0
3 years ago
The force of gravitation between two spherical bodies is Gm1 m2 /r2, where r is separation between their dash
AnnZ [28]

Explanation:

F = Gm1m2/r^2

kya nikalna hai bhai isme

6 0
3 years ago
Read 2 more answers
People are constantly being barraged with low-level radiation. Which radiation source below contributes the most low-level radia
Sati [7]

I think the answer is C) Radond

3 0
3 years ago
Read 2 more answers
Other questions:
  • Transcranial magnetic stimulation (TMS) is a noninvasive technique used to stimulate regions of the human brain. A small coil is
    12·1 answer
  • a pebble is dropped down a well and hits the water 1.5 seconds later. using the equations for motion with constant acceleration,
    7·2 answers
  • PLEASE PLEASE HELP ME!
    9·1 answer
  • Which waves have wavelengths longer than those of visable light? Give an example
    15·1 answer
  • Asap PLEASE HELP!!!!<br> Match these vocabulary words with their definitions.
    15·1 answer
  • A bird has a kinetic energy of 3 J and a potential energy of 25 J. What is the mechanical energy of the bird?
    11·1 answer
  • What is the weight of a spring balance when the point is 30​
    8·1 answer
  • A record player has a velocity of 33.33 RPM. How fast is the record spinning in m/s at a distance of 0.085 m from the center?
    7·2 answers
  • 1) A bowling has a mass of 5 kg and a speed of 8 m/s. What is its momentum?
    13·1 answer
  • You hang a light in front of your house using an
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!