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GATE Exam » GATE Study Materials » Chemical Engineering » Equation of Motion
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Equation of Motion

In the equation of motion, the numerical formula describes the positioning acceleration and velocity of the body which is relative to the mentioned frame of the equation of motion.

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In chemical engineering, the equation of motion is an equation which eventually describes the behavior of any physical system in terms of its functioning and in terms of its motion related to time. The equation of motion describes the physical system through a set of numerical functions which have dynamic variables related to it. These variables are also types of coordinates and time and can also include various components of momentum. The second equation of motion gives distance covered through the object which is moving at a very uniform acceleration altogether. Following that the third equation of motion is the relation between the final velocity and the initial velocity which is constant through the acceleration where the calculation of the displacement of the particles during a particular S is being done through the equation of motion.

Equation of motion

The equation of motion is related to the physical quantities which are time distance initial velocity and the final velocity with the acceleration also facilitates the calculation about the uniform acceleration motion. The equation of motion can be gradually defined through respect to its components where the object moves through a straight line and at uniform acceleration the distance traveled through a particular time also sets an equation to it. Equation of motion by the graphical method is one of the most important ways of putting the equation which relates the velocity and the time of the object along a straight line and is shown graphically. Equation of motion by graphical manner  includes time taken by the object, the initial velocity, the final velocity and the acceleration of the motion. The first equation of the motion is gradually known as velocity, the second equation of motion is known as the relation of time while the third equation of motion is known as the positioning of the velocity and relation.

The second equation of motion

The second equation of motion gradually expresses the distance which is covered by the moving objects through a uniform acceleration altogether. The second equation of motion gives the displacement of an overall object which can be constant to its acceleration. The second equation of motion is –

X =  X0+ v 0 t + 1 /2 a t 2

This second equation of motion describes the fundamental concepts of an object regarding its motion where the equation governs the motion for an object of three dimensions. They can also be very easily calculated through their expressions and positioning whether the velocity and acceleration of the object have various times attached to it.

Third equation of motion

The third equation of motion is the relationship between the final velocity and the initial velocity which is constant towards the acceleration and the displacement of its particles there can also be calculated as the displacement of these particles during a proper s which is the equation of the motion is derived to. The third equation of motion is –

V2 = U2 + 2as

Where V stands for the final velocity U stands for the initial velocity A is the constant acceleration while S is the displacement of the particle. The first equation of motion describes the relationship between velocity and time. The second equation of motion shows the relationship between displacement and time. While on the other hand, the third equation of motion shows the velocity and displacement relationship. equation of motion by graphical method shows every relationship of the equation of motion.

Conclusion

The equation of motion can be concluded as a numerical formula which is describing the velocity positioning and the displacement of any moving body which can be related to a proper framework. The relationship between the quantities is known as the equation of motion where it is derived that the components like time velocity acceleration and displacement can be applied as the constant motion where the movement is performed through a straight line. Equation of motion can be easily shown through a graphical method and equation of motion by graphical method is one of the easiest ways of handling the equations.

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What is the equation of motion?

Ans. Equation of motion is the numerical formula that describes the position and acceleration of the body of ...Read full

How many types of the equation of motion are there?

Ans. Generally, there are three types of the equation of motion which are the first equation of motion, se...Read full

What is the second equation of motion?

Ans. The second equation of motion shows the relationship between the t...Read full

What is the third equation of motion?

Ans. The third equation of motion on the other hand shows the relations...Read full

What is the equation of motion by graphical method?

Ans. Equation of motion by graphical method is the method of showing th...Read full

Ans. Equation of motion is the numerical formula that describes the position and acceleration of the body of velocity which has a related framework of the equation of motion. In chemical engineering the equation of motion is the equation that describes the physical behavior and the functioning of the motion related to time, velocity, and displacement.

Ans. Generally, there are three types of the equation of motion which are the first equation of motion, second equation of motion, and third equation of motion. Here, the first equation of motion shows the relationship between time and velocity, the second equation of motion shows the relationship between time and displacement while the third equation of motion shows the relationship between displacement and velocity.

Ans. The second equation of motion shows the relationship between the time and displacement of the motion. The second equation of motion is –

X =  X0+ v 0 t + 1 /2 a t 2

This second equation of motion describes the fundamental concepts of an object regarding its motion where the equation governs the motion for an object of three dimensions.

Ans. The third equation of motion on the other hand shows the relationship between displacement and velocity and the third equation of motion eventually is –

V2 = U2 + 2as

Where V stands for the final velocity U stands for the initial velocity A is the constant acceleration while S is the displacement of the particle.

Ans. Equation of motion by graphical method is the method of showing the equation of motion through a form of graph and the graph shows every equation of motion in a very wide manner.

 

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