# Conservation of angular momentum essay

Magnesium is an important microelement, and this is important for the growth of the plants as well as in curing the deficiency diseases in the plants. There are several reasons due to which availability of the magnesium in the soil depends, these are as the following.

The rock material from which the soil is formed.

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Conservation of angular momentum essay
Just from $10/Page The climatic condition of that particular place. The agricultural process practiced in that area. The number of salts and water present in the soil. The age, pH and cation exchange capacity of soil. When there is lack of the magnesium in the soil where most of the plants are grown, the plants are provided with the magnesium manually. Some of the salts which are high in magnesium are Epsom salt, these can be given directly to the growing plants. Some other examples of the magnesium rich salts are dolomitic limestone and sulfate of potash magnesia. Uptake of magnesium by plants The amount of magnesium taken by the plants and the plantlets is dependent on the amount of the element magnesium found in the earth or the soil where the plant grows. Magnesium in soil solution-The solution form of magnesium has ions in it, the ions of the magnesium is absorbed by the plant. The dissolved magnesium present in soil is taken by the plants in its ionic form (MgâºÂ²). The magnesium uptake by plants occurs in two ways- Passive uptake-It through the transpiration process. Diffusion- Magnesium ions (MgâºÂ²) transfer from their higher concentration to lower concentration. If the pH of soil is low then solubility of magnesium is also low. Magnesium leaching becomes heavily acidic and its pH goes very low in certain climatic conditions like in winters and the autumn seasons along with the high rain fall such as manganese and aluminum also decreases the magnesium uptake by plants as these elements are more soluble than magnesium. When some other positive-charged ions such as potassium and ammonium are present in the soil, the magnesium uptake by plants and its transfer from roots to upper parts of the plants decreases. The sandy soil is very loose, so it cannot hold the elements for long time, therefore plants growing on this become deficient to element magnesium. The soil having high cation exchange capacity has more magnesium. ## Get Professional Assignment Help Cheaply Are you busy and do not have time to handle your assignment? Are you scared that your paper will not make the grade? Do you have responsibilities that may hinder you from turning in your assignment on time? Are you tired and can barely handle your assignment? Are your grades inconsistent? Whichever your reason is, it is valid! You can get professional academic help from our service at affordable rates. 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PLACE THIS ORDER OR A SIMILAR ORDER WITH US TODAY AND GET A PERFECT SCORE!!! Published # Conservation Of Angular Momentum Essay When a body moves along a straight line, then the product of the mass m and the linear velocity v of the body is known as its linear momentum. Similarly, in rotational motion, the quantity analogous to linear momentum is known as its angular momentum. If a rigid body is rotating around an axis, then the sum of the moments of the linear momenta of all the particles about the given axis gives the magnitude of the angular momentum. In a more simplified way, angular momentum is a vector quantity that describes the circular motion of a body whose magnitude is equal to the total angular momentum of the body and its direction is perpendicular to the plane of the circular motion of the body. It is represented by L. Right-Hand Thumb Rule The direction of angular momentum is given by the right-hand thumb rule which states that: Don't use plagiarized sources. 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If one positions his right hand in such a way that the fingers are placed in the direction of r and curls the fingers around the palm in such a way that they point in the direction of linear momentum, then the outspread thumb gives the direction of angular momentum.

Right-hand thumb rule for determining the direction of angular momentum.

The Relation Between Torque and the Rate of Change of Angular Momentum
Suppose a body is rotating about an axis under the influence of torque and its angular acceleration is \alphaÎ±, then

\tau =I\alphaÏ„=IÎ±
Where, I is the moment of inertia of the body about the axis of rotation. Now, \alpha =\frac{d\omega }{dt}Î±=
dt
dÏ‰
â€‹
(rate of change of angular velocity).

Therefore \tau =I\frac{d\omega }{dt}\,\,\,\,\,\,\,\,\,…\left( 1 \right)Ï„=I
dt
dÏ‰
â€‹
…(1)
The angular momentum of the body about the axis of rotation is L=I\omegaL=IÏ‰.

The rate at which the angular momentum changes is given by

\frac{dL}{dt}=I\frac{d\omega }{dt}
dt
dL
â€‹
=I
dt
dÏ‰
â€‹

Hence, from equation (1)

\frac{dL}{dt}=\tau \left[ \because I\text{ is constant} \right]
dt
dL
â€‹
=Ï„[âˆµI is constant]
Thus, the rate of angular momentum of the body is equal to the external torque acting on the body.

(This formula is similar to the rate of change of momentum \frac{dp}{dt}=F
dt
dp
â€‹
=F for linear motion.)

Conservation of Angular Momentum
The conservation of angular momentum of a body states that the angular momentum remains conserved if there is no external force acting on the body rotating about an axis, then

L=I\omega =\text{Constant}L=IÏ‰=Constant
This is known as the law of conservation of angular momentum. If II decreases, \omegaÏ‰ increases, and vice versa.

\frac{dL}{dt}=\tau
dt
dL
â€‹
=Ï„
If external torque is zero, then:

\frac{dL}{dt}=0
dt
dL
â€‹
=0
dL=0dL=0
L=\text{Constant}L=Constant
This is the law of conservation of angular momentum.

Some important examples related to the law of conservation of angular momentum are:

1. Suppose a ball is tied at one end of a cord whose other end passes through a vertical hollow tube. The tube is held in one hand with the cord in the other. The ball is set into rotational motion in a horizontal circle. If the cord is pulled down, shortening the radius of the circular path of the ball, then the ball rotates faster than before. The reason is that, by shortening the radius of the circular path, the moment of inertia of the ball about the axis of rotation decreases. Hence, by the law of conservation of angular momentum, the angular velocity of the ball increases about the axis of rotation.

2. When a diver from a certain height jumps into a water body, he does not keep his body straight rather pulls in his legs and arms towards the center of his body. Upon doing so, the moment of inertia II of his body decreases and as the angular momentum I\omegaIÏ‰ remains constant, his angular velocity \omegaÏ‰ increases correspondingly.

3. A man with his arm outstretched and holding heavy weights in each hand is standing at the center of a rotating table. When the man pulls in his arms, the speed of the rotation of the table increases. The reason is that, on pulling in the arms, the distance R of the weights from the axis of rotation decreases and so, the moment of inertia of the man decreases.

Therefore, by the conservation of angular momentum, the angular velocity increases.

In the same way, an ice skater and a ballet dancer increases or decreases the angular velocity of the spin about a vertical axis by pulling in or extending out their limbs.

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### Finance

Do you struggle with finance? No need to torture yourself if finance is not your cup of tea. You can order your finance paper from our academic writing service and get 100% original work from competent finance experts.

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Computer science is a tough subject. Fortunately, our computer science experts are up to the match. No need to stress and have sleepless nights. Our academic writers will tackle all your computer science assignments and deliver them on time. Let us handle all your python, java, ruby, JavaScript, php , C+ assignments!

### Psychology

While psychology may be an interesting subject, you may lack sufficient time to handle your assignments. Don’t despair; by using our academic writing service, you can be assured of perfect grades. Moreover, your grades will be consistent.

### Engineering

Engineering is quite a demanding subject. Students face a lot of pressure and barely have enough time to do what they love to do. Our academic writing service got you covered! Our engineering specialists follow the paper instructions and ensure timely delivery of the paper.

### Nursing

In the nursing course, you may have difficulties with literature reviews, annotated bibliographies, critical essays, and other assignments. Our nursing assignment writers will offer you professional nursing paper help at low prices.

### Sociology

Truth be told, sociology papers can be quite exhausting. Our academic writing service relieves you of fatigue, pressure, and stress. You can relax and have peace of mind as our academic writers handle your sociology assignment.

We take pride in having some of the best business writers in the industry. Our business writers have a lot of experience in the field. They are reliable, and you can be assured of a high-grade paper. They are able to handle business papers of any subject, length, deadline, and difficulty!

### Statistics

We boast of having some of the most experienced statistics experts in the industry. Our statistics experts have diverse skills, expertise, and knowledge to handle any kind of assignment. They have access to all kinds of software to get your assignment done.

### Law

Writing a law essay may prove to be an insurmountable obstacle, especially when you need to know the peculiarities of the legislative framework. Take advantage of our top-notch law specialists and get superb grades and 100% satisfaction.

## What discipline/subjects do you deal in?

We have highlighted some of the most popular subjects we handle above. Those are just a tip of the iceberg. We deal in all academic disciplines since our writers are as diverse. They have been drawn from across all disciplines, and orders are assigned to those writers believed to be the best in the field. In a nutshell, there is no task we cannot handle; all you need to do is place your order with us. As long as your instructions are clear, just trust we shall deliver irrespective of the discipline.

## Are your writers competent enough to handle my paper?

Our essay writers are graduates with bachelor's, masters, Ph.D., and doctorate degrees in various subjects. The minimum requirement to be an essay writer with our essay writing service is to have a college degree. All our academic writers have a minimum of two years of academic writing. We have a stringent recruitment process to ensure that we get only the most competent essay writers in the industry. We also ensure that the writers are handsomely compensated for their value. The majority of our writers are native English speakers. As such, the fluency of language and grammar is impeccable.

## What if I don’t like the paper?

There is a very low likelihood that you won’t like the paper.

### Reasons being:

• When assigning your order, we match the paper’s discipline with the writer’s field/specialization. Since all our writers are graduates, we match the paper’s subject with the field the writer studied. For instance, if it’s a nursing paper, only a nursing graduate and writer will handle it. Furthermore, all our writers have academic writing experience and top-notch research skills.
• We have a quality assurance that reviews the paper before it gets to you. As such, we ensure that you get a paper that meets the required standard and will most definitely make the grade.

### In the event that you don’t like your paper:

• The writer will revise the paper up to your pleasing. You have unlimited revisions. You simply need to highlight what specifically you don’t like about the paper, and the writer will make the amendments. The paper will be revised until you are satisfied. Revisions are free of charge
• We will have a different writer write the paper from scratch.
• Last resort, if the above does not work, we will refund your money.

## Will the professor find out I didn’t write the paper myself?

Not at all. All papers are written from scratch. There is no way your tutor or instructor will realize that you did not write the paper yourself. In fact, we recommend using our assignment help services for consistent results.

## What if the paper is plagiarized?

We check all papers for plagiarism before we submit them. We use powerful plagiarism checking software such as SafeAssign, LopesWrite, and Turnitin. We also upload the plagiarism report so that you can review it. We understand that plagiarism is academic suicide. We would not take the risk of submitting plagiarized work and jeopardize your academic journey. Furthermore, we do not sell or use prewritten papers, and each paper is written from scratch.

## When will I get my paper?

You determine when you get the paper by setting the deadline when placing the order. All papers are delivered within the deadline. We are well aware that we operate in a time-sensitive industry. As such, we have laid out strategies to ensure that the client receives the paper on time and they never miss the deadline. We understand that papers that are submitted late have some points deducted. We do not want you to miss any points due to late submission. We work on beating deadlines by huge margins in order to ensure that you have ample time to review the paper before you submit it.

We have a privacy and confidentiality policy that guides our work. We NEVER share any customer information with third parties. Noone will ever know that you used our assignment help services. It’s only between you and us. We are bound by our policies to protect the customer’s identity and information. All your information, such as your names, phone number, email, order information, and so on, are protected. We have robust security systems that ensure that your data is protected. Hacking our systems is close to impossible, and it has never happened.

## How our Assignment  Help Service Works

#### 1.      Place an order

You fill all the paper instructions in the order form. Make sure you include all the helpful materials so that our academic writers can deliver the perfect paper. It will also help to eliminate unnecessary revisions.

#### 2.      Pay for the order

Proceed to pay for the paper so that it can be assigned to one of our expert academic writers. The paper subject is matched with the writer’s area of specialization.

#### 3.      Track the progress

You communicate with the writer and know about the progress of the paper. The client can ask the writer for drafts of the paper. The client can upload extra material and include additional instructions from the lecturer. Receive a paper.

The paper is sent to your email and uploaded to your personal account. You also get a plagiarism report attached to your paper.

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