A cylindrical tank with radius 5 m is being filled with water at a rate of 2 m3/min. How fast is the height of the water increasing?.

Answers

Answer 1

V(volume of cylinder) = A.h = πr².h

V = 25π.h m³

rate (Q) = V : t

[tex]\tt t=\dfrac{V}{Q}=\dfrac{25\pi h~m^3}{2~m^3/min}=12.5\pi h~min[/tex]


Related Questions

What phase in running is determined when the foot and leg serve as shock absorber, before the foot hits the ground, and the knee flexes ?

Answers

Answer:

it is the stance phase of running where the foot and leg serve as shock absorber

What type of mass movement moves the most material, averaged over the earth’s land and over long times?.

Answers

Answer:

the many, small events move the most material.

Explanation:

what is the relationship between wavelength and frequency ?

Answers

Answer: inverse relationship

Explanation: one increases and the other decreases

the 20 kg at angle of 53⁰ in an inclined plane is realsed from rest the coefficient of friction bn the block and the inclined plane are ųs=0.3 and ųk=0.2
A) would the block move
B) if it moves what is its speed after it has descended a distance of 5m down the plane​

Answers

Given :-

A 20kg block at an angle 53⁰ in an inclined plane is released from rest .[tex]\mu_s = 0.3 \ \& \ \mu_k = 0.2[/tex]

To Find :-

Would the block move ?If it moves what is its speed after it has descended a distance of 5m down the plane .

Solution :-

For figure refer to attachment .

So the block will move if the angle of the inclined plane is greater than the angle of repose . We can find it as ,

[tex]\longrightarrow \theta_{repose}= tan^{-1}(\mu_s)[/tex]

Substitute ,

[tex] \longrightarrow \theta_{repose}= tan^{-1}( 0.2)[/tex]

Solve ,

[tex]\longrightarrow\underline{\underline{\theta_{repose}= 16.6^o }}[/tex]

Hence ,

[tex]\longrightarrow\theta_{plane}>\theta_{repose}[/tex]

Hence the block will slide down .

Now assuming that block is released from the reset , it's initial velocity will be 0m/s .

And the net force will be ,

[tex]\longrightarrow F_n = mgsin53^o - \mu_k N [/tex]

Substitute, N = mgcos53⁰ ( see attachment)

[tex] \longrightarrow ma_n = mgsin53^o - \mu_k mgcos53^o [/tex]

Take m as common,

[tex] \longrightarrow\cancel{m }(a_n) = \cancel{m}( gsin53^o - \mu gcos53^o)[/tex]

Simplify ,

[tex] \longrightarrow a_n = gsin53^o - \mu_k g cos53^o[/tex]

Substitute the values of sin , cos and g ,

[tex] \longrightarrow a_n = 10( 0.79 - 0.2 (0.6)) [/tex]

Simplify ,

[tex] \longrightarrow a_n = 10 ( 0.79 - 0.12 ) \\\\ \longrightarrow a_n = 10 (0.67)\\\\ \longrightarrow \underline{\underline{a_n = 6.7 m/s^2}}[/tex]

Now using the Third equation of motion namely,

[tex] \longrightarrow2as = v^2-u^2[/tex]

Substituting the respective values,

[tex] \longrightarrow2(6.7)(5) = v^2-(0)^2 [/tex]

Simplify and solve for v ,

[tex] \longrightarrow v^2 = 67 m/s\\\\\longrightarrow v =\sqrt{67} m/s \\\\\longrightarrow\underline{\underline{ v = 8.18 m/s }} [/tex]

Hence the velocity after covering 5m is 8.18 m/s .

Salem walked 60 m in 5 seconds, his average speed is.

Answers

Answer:

12m/s

Explanation:

60/5=12

Answer:

Explanation:

Solution,

Distance(d)=60m

Time(t)=5sec

Now,

A.speed=d/t

A.speed=60/5=12m/s

2. Two spherical objects have masses of 1.5 x 109 kg and 8.5 x 10 kg. Their centers are
separated by a distance of 2500 m. Find the gravitational attraction between them.

Answers

music=life=love=GOD

GOD is MUSIC

Explanation:I hope this helps. Not with your mathematical issue. Maybe watch Good Will Hunting?

LOL

God Bless brother. I hope you get it. It takes hard work.

       b.

A periodic wave has a wavelength of 2m and has a speed of 45 m/s what is the frequency

Answers

Answer:

f = 22.5 Hz

Explanation:

speed of wave = v

frequency = f

wave length = l

v = lf → f = v/l → f = 45/2 → f = 22.5 Hz

if velocity is in m/s and time is in sec, what is the unit of acceleration?​

Answers

The unit of acceleration would be m/s² :)

how does lightening occur
Can you please tell me me by looking this book picture
Please fast ​

Answers

Answer:

lightening happens because light is reflectting the inner space of the imagination of dragons

Answer:

When the negative charge in the bottom of cloud are attracted to the positive charge in the ground.Like this lightening occurs.

brainlist nd 20 points

Answers

Answer:

I'm not sure but I think it's 35-39

How far is one light-year in kilometres? Answer to 2sf.

Answers

Answer:

9.461 trillion kilometers

if you are riding on a train that speed past another train moving in a same direction on an adjacent track ti appears that the other train is moving backward why?

Answers

Answer:

If you are traveling with a relativity constant velocity, then you will interpret your reference frame as being at rest. Since you are moving faster than the other train, the other train is moving backwards relative to you. Seeing the other train go past your window from front to rear makes it look like the train is going backwards

Explanation:

Determine the electric potential energy for the array of three charges in the drawing, relative to its value when the charges are infinitely far away and infinitely far apart.

Answers

Although we do not have the diagram needed to answer this question, we can provide general information in that electrical potential energy is calculated based on the charges and the distance between them.

How do we calculate electric potential energy?

This energy can be calculated using the value of the charges along with the distance between them with the formula Energy = [tex]k\frac{q1q2}{r}[/tex] in which q represents the charges whilst r represents the distance of separation. As we can see these values are inversely proportional to one another.

Therefore, we can confirm that we can calculate electric potential energy using the charges and the distance between them, which will be inversely proportional to one another.

To learn more about electrical energy visit:

https://brainly.com/question/863273?referrer=searchResults

A gravitational force of 2.54 x 10^-10 is exerted by two objects that are 0.25 m apart. If the first object has a mass of 0.35 kg, what is the mass of the second object?

Answers

Answer :

what is the answer options?

Explanation:

What type of main sequence star is most likely to become a black hole?.

Answers

an O type of star or A it’s between them

An object experiences a certain net force that causes a certain acceleration. If the net force on the object is
tripled, what happens to the acceleration of the object?

Answers

Answer:

it increases

Explanation:

equal to opposite force so it would return the amount applied on it

If an object experiences a certain net force that causes a certain acceleration. If the net force on the object is tripled , then the acceleration of the object would become tripled as well assuming the mass of the object is constant.

What is Newton's second law ?

Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.

As given in the problem if an object experiences a certain net force that causes a certain acceleration. If the net force on the object is

tripled,

If a specific net force acting on an item results in a specific acceleration. Assuming the mass of the item remains constant if the net force acting on it is tripled, the acceleration of the object would also be tripled.

Thus, the acceleration of the object would get tripled.

To learn more about Newton's second law, refer to the link ;

brainly.com/question/13447525

#SPJ5

A learner has a mixture of sand and water. The best method to separate this solution would be ?

Answers

Answer:

An filtration is the answer.

What is the relationship between the shock wave of an explosion and sound?

Answers

In particular, shock waves travel faster than sound, and their speed increases as the amplitude is raised; but the intensity of a shock wave also decreases faster than does that of a sound wave, because some of the energy of the shock wave is expended to heat the medium in which it travels.

In a diving team, you are the team leader and you have three orientation in a trip 1-the red sea (low density) , 2-Dead sea (high density), 3-Deep lake (Pure water),which place is the best to dive in with your team.explain your opinion.

Answers

Answer:

I choose red sea, because while diving, it will be more easier if the upward force is less(upthrust). since the upthrust increase with increase with density, it will be much difficult to dive in Dead sea than red sea.

1. since red sea has less density, it would have the minimum upthrust, which results in less resistance while diving.

it is also because, the pressure inside the liquid at same depth will be less in red sea, due to its density.

PLEASE MARK BRAINLIEST.

What is your Momentum traveling 4 m/s with a mass of 70 kg?

Answers

Answer:

280

Explanation:

I used the equation for momentum, p=mv

70 x 4 = 280

Davina accelerates a box across a smooth frictionless horizontal surface over a displacement of 18. 0 m with a constant 25. 0 n force angled at 23. 0° below the horizontal. How much work does she do on the box?.

Answers

work and force

w = f cos 23 . d

w = 25 cos 23° . 18

w = 414.23 J

The mass of a large car is 1000 kg. How much force would be required to accelerate the car at a rate of 3msec2

Answers

Answer:

3000 N

Explanation:

We have,

• Mass, m = 1000 kg

• Acceleration, a = 3 m/s²

We have to find force required, F.

[tex]\longrightarrow[/tex] F = ma

[tex]\longrightarrow[/tex] F = 1000 × 3 N

[tex]\longrightarrow[/tex] F = 3000 N (Answer)

If thermal energy is added to a liquid, what is the most likely thing that will happen to the substance?

Answers

Explanation:

When thermal energy is added to a substance, its temperature increases, which can change its state from solid to liquid (melting), liquid to gas (vaporization), or solid to gas (sublimation).

Do loud sounds travel faster than soft sounds?

Answers

Answer: No. Both travel at the same speed.

Explanation:

Answer: no, they all travel at the same speed

Explanation: the amplitude of a sound does not matter for all sound travels at the same speed

If the sum of all the forces acting on a car is zero, then the speed of the car?

Answers

Answer: If all forces acting on a car are zero, than the cars speed is zero since there are no forces to push or pull the car :)

Explanation:

Think of an example from real life that can be explained with Newton's Third Law.

Answers

Answer:

when you jump, your legs apply force on the ground that applies an equal and opposite reaction that make you jump

When an object has a electrical charge, electrons are? _____ when it comes in contact with other objects

Answers

Electrons are exchanged

name an object that contains all 7 energies, and where those energies are shown.

Answers

Answer:

I don't know what energy is there I think you need to check in you book or note dear

Explanation:

hope you will understand

[tex]kai6417[/tex]

What is the difference between kinematics and dynamics?.

Answers

Kinematics is the study of motion without regard for the cause. Dynamics: On the other hand, dynamics is the study of the causes of motion.

Which wire has the most total charge carriers flowing past a point in the wire during the specified time interval

Answers

The wire 2 has the most charge flowing in it at the given time interval.

Charge flowing in each wire

The total charge flowing in each wire is calculated using the following equation;

Q = It

where;

I is the currentt is the time of current flow

Charge in wire 1

The charge flowing in wire 1 is calculated as follows;

Q = 1 x 60 = 60 C

Charge in wire 2

The charge flowing in wire 2 is calculated as follows;

Q = 2 x 45 = 90 C

Charge in wire 3

The charge flowing in wire 3 is calculated as follows;

Q = 3 x 10 = 30 C

Thus, the wire 2 has the most charge flowing in it at the given time interval.

The complete question is below

The current across three identical current carrying wires is measured during a certain time interval. The reading is reported in the table

        Current (A)        Time Interval (S)

Wire 1          1                  60

Wire 2         2                 45

Wire 3         3                  10

Learn more about quantity of charge in a wire here: https://brainly.com/question/25922783

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