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kinetic energy Calculator

Kinetic Energy Calculator

Note: Please enter any two fields to know the third!

Kinetic Energy

Mass

Velocity

Kinetic Energy

Moment of Inertia

Angular Velocity

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This kinetic energy calculator allows you to calculate kinetic energy of any moving object by the help of kinetic energy formula. All you need to enter few parameters to get your instant results of (KE). Well, we help you to know how to calculate kinetic energy, study about work and kinetic energy, and much more. So, let us start with the basic (KE) or kinetic energy definition.

What is Kinetic Energy (KE)?

The energy that is possessed due to motion or movement of any object is the kinetic energy. If the object is at rest and we apply some force on it while pushing,it will start moving. This movement will bring kinetic energy. Therefore, it can be defined as the work required to move a body of a given mass from rest to its stated velocity. Now to bring the body in the state of rest from motion, some work will be needed again. In conclusion, we can say that KE is the property of moving objects and depends on motion and mass of the particular object.

Let’s take an example. If you put an engine into a truck and a car, the speed will not be the same because of different masses of car and lorry. Calculating kinetic energy may seem challenging but you can easily find it out by using the KE calculator.

Kinetic Energy Formula:

The formula for kinetic energy describes the association between the mass of an object and its velocity. The kinetic energy equation is:

KE = 0.5 * m * v² or K.E. = ½ * m * v²

where:

  • m is repressing the mass of any object
  • v is representing the velocity of the object.

With the help of this formula, it can be estimated how much energy will be needed to move the object of a particular mass. The same amount of energy will be required to decelerate or stop the object, but keep in mind that velocity is squared. It means that even a minor increase in speed has the capacity to bring a relatively high amount of changes in the KE.

Kinetic Energy Formula Derivation

Let’s study the example of an object of “m” which is at a state of rest on a table. A force “F” will be applied to move it through a distance “S”.

  • The work done=F x S
  • W=F x S

Work done on the object results in a change in velocity from u to V. Additionally, one must let “a” be the acceleration.

According to the third equation of motion:

  • V²-u²=2as
  • s=V²-u²/2a

now apply Newton’s Second law:

  • F=ma

Combine the equations:

  • W=ma*(V²-u²/2a) \= (1/2) m(V²-u²)

As the object in a state of rest, u=0

  • W= (1/2) mV²

Likewise, the kinetic energy of an object that is moving with a definite velocity is equivalent to work done on the object. This work is for the determination of obtaining that velocity from the condition of rest.

Therefore, the kinetic energy equation can be written as:

  • KE =1/2 mV²

Example:

Let’s consider that:

  • the mass is “m’ and m = 10 kg
  • the velocity is “v” and v = 10 km/h.

Now, the kinetic energy equation: Ek = 1/2 mv2
Put the values:

  • KE = 1/2 (10 kg) (10km/h)
  • KE = 50 Joules
  • The kinetic energy = 50 Joules.

Kinetic Energy Units:

The kinetic energy units is the same as for any other type of energy. Some most common units are described below:

  • Joule (J), equivalent to kg * m² / s² – SI unit,
  • Foot-pound (ft•lb) – imperial unit,
  • Electronvolt (eV),
  • Calorie (cal),
  • Watt-hour (Wh).

They can be converted into one another easily with the following ratios:

1 J = 0.7376 ft•lb = 6.242•10¹⁸ eV = 0.239 cal = 2.778•10⁻⁴ Wh.

If you are using a kinetic energy calculator; you can select the unit of your choice according to present conditions by clicking on the units, and the value will be instantly transformed.

About Kinetic Energy Calculator:

This kinetic energy calculator is a tool that provides assistance to calculate the linear and rotational kinetic energy of a moving object. Its working procedure is created on the base of the kinetic energy formulas. If the object is moving straight its linear kinetic energy can be calculated by entering the mass and velocity in the calculator. For the circular motion of an object, it’s rotational KE calculation needs values for moment of inertia and angular velocity. Just put any two known variables in the tool to find the unknown one. It supports metric and imperial measurement units. it delivers output in Joules (J, kJ, MJ), Watt-hours (Wh, kWh), calories (Cal, kCal), and foot-pounds (ft-lbs). The above tool is 100% free to use.

How to Find Kinetic Energy With This Kinetic Energy Calculator?

This KE calculator is designed to find the missing values in the equation for Kinetic Energy when two of the variables or values are known:

KE=1/2*mv2

Enter any two of the values i.e. mass and velocity for calculating kinetic energy. Click on the Calculate button. Furthermore, to make the concept simple have a look at the following procedure of the calculator:

To Calculate Linear Kinetic Energy:

Chose the option “linear” from the drop-down menu of the calculator. It follows the following equation:

Linear KE: = 1/2 (M * (V * V))

Input

  • First of all, enter the value of mass
  • Very next enter the value of the velocity
  • Hit the calculate button

Output

  • The very first output will be the value of KE in joules
  • Mass will be delivered the same as the input with a standard unit that is kg
  • Velocity will be delivered the same as the input with a standard unit that m/s
  • To make another calculation just hit the recalculate button
To Calculate Mass:

If you have the value of KE and velocity, then mass can be calculated as follow:

M = KE / (V * V)

Input

  • First of all, enter the value of KE
  • Very next enter the value of the velocity
  • Hit the calculate button

Output

  • The very first output will be the value of KE in joules the same as the input.
  • Mass will be delivered as the second output with a standard unit that is kg
  • Velocity will be delivered the same as the input with a standard unit that m/s
  • To make another calculation just hit the recalculate button
To Calculate Velocity

If you have the value of KE and mass, then velocity can be calculated by this tool as follow:

V = KE / (1/2 * M)

Input

  • First of all, enter the value of KE.
  • Very next enter the value of mass.
  • Hit the calculate button

Output

  • The very first output will be the value of KE in joules the same as the input.
  • Mass will be delivered the same as the input with a standard unit that is kg
  • Velocity will be delivered as the last output with a standard unit that m/s
  • To make another calculation just hit the recalculate button

To Calculate Rotational Kinetic Energy:

From drop-down menu chose “rotational”. This calculator follows the following formula of rotational KE:

KE(rotational)=1/2Iω2

Input

  • Very first you have to Enter the value of the moment of inertia
  • Now Enter the value of the angular velocity
  • Hit the calculate button

Output

  • You will get the value for rotational KE in joules as a standard unit.
  • Moment of inertia will be delivered the same as the input in kg.m² as a standard unit.
  • Value of angular velocity will be delivered same as the input in rad/s as a standard unit.
  • To make another calculation just hit the recalculate button.
To Calculate The Moment of Inertia:

If you have the values for rotational KE and angular velocity the moment of inertia can be computed as follows:

Input

  • Enter the rotational KE
  • Enter the angular velocity
  • Hit the calculate button

Output

  • You will have a value of rotational KE same as the input in joules.
  • You will have the value of the moment of inertia as a required output in kg.m².
  • You will have the value of angular velocity same as the input in rad/s.
  • To make another calculation just hit the recalculate button.
To Calculate The Angular Velocity:

If vales of rotational KE and moment of inertia is known, then angular velocity can find out as follow:

Input

  • Enter the value of rotational KE
  • Enter the value of the moment of inertia
  • Hit the calculate button

Output

  • You will have a value of KE same as the input in joules.
  • You will have a moment of inertia the same as the input in kg.m².
  • You will have a value of angular velocity as the desired output in rad/s.
  • To make another calculation hit the recalculate button

Change in Kinetic Energy (Interpretation):

Kinetic energy is the energy of the object that is present because of the motion. Any change in the velocity of the object will bring change in kinetic energy. Subtraction of The KE of the moving object before applying force or work from the KE after applying force or work can give the value of change in KE. it can be calculated with the ease of the formula:

  • Change in kinetic energy formula: W = KEf – Kei.

Where’s

  • W = work done.
  • KEf = kinetic energy after work done.
  • Kei = kinetic energy before work done.

How to Calculate Kinetic Energy?

kinetic energy formula (KE = 0.5 x mv2) can help us to calculate the KE value by following simple steps:

  • let’s suppose the mass of the object is 55 kg and velocity is 3.87m/s
  • enter the values in kinetic energy equation: (KE = 0.5 x mv2) = 0.5*55*3.872 = 411.675 J.
    KE = 411.675 J.
  • Manual calculations can be frustrating. To avoid unsatisfying calculations, the best option is to use kinetic energy calculator for the reliable outcomes.

Kinetic Energy (KE) and Potential Energy (PE):

There is some basic difference between these two types of energy as follows:

KE = Kinetic Energy:

  • The energy that is present because of the movement of the object is known as KE.
  • It can be transferred from one object to another.
  • It has a relation with the environment of the object.
  • Its formula is: KE = 0.5 x mv2

PE = Potential Energy:

  • It is the form of energy that is present due to the position of the object.
  • It cannot be transferred.
  • It has no relation to the environment of the object.
  • Its formula is : PE = mgh.

Work and Kinetic Energy (The Work-Energy Theorem):

Work and kinetic energy are strictly connected. It means that an increase or decrease in the amount of work will cause a change in the KE. This relationship can be explained with the help of a work-energy theorem. It states that the work done by all outer forces is transformed into a change of kinetic energy:

W = ΔKE = KE₂ – KE₁

  • The network “W” is the work done by the external force on an object.
  • This Work done will transfers energy to the object.
  • The kinetic energy of an object of mass m moving at speed v is KE=1/2mv2
  • According to a work-energy theorem the network Wnet on a system changes its kinetic energy:

Wnet= ΔKE = KE₂ – KE₁

Wnet = 1/2mv2₂ – 1/2mv2₁

FAQ’s:

How do you find joules of kinetic energy?

Kinetic energy = 1/2 * mass * velocity ^2,

  • where Kinetic energy is in joules,
  • mass is in kilograms,
  • and velocity is in meters per second m s⁻¹.

Consider the moving object enter the values in the equation. You will have a value of KE in joules as it is a standard unit to represent the energy.

What does kinetic energy depend on?

KE depends on two variables:

  • the mass (m) of the object
  • the speed (v) of the object.
  • The following equation is accounted to represent the kinetic energy (KE) of an object: KE = 1/2MV2

What will happen to your kinetic energy if you triple your speed?

If the speed of any object will triplicates the kinetic energy will be nine times more than the initial kinetic energy.

What is the relationship between kinetic energy and speed?

It can be assumed that speed and velocity are the same things. So, the kinetic energy of an object is related to the square of its velocity (speed). In other words, if there is a dual upsurge in speed, the kinetic energy will rise by a factor of four.

What are some examples of kinetic energy?

  • Moving Car. Moving cars has kinetic energy because of its motion.
  • A Bullet from a gun has very high kinetic energy, and, so, it can easily enter any object.
  • Flying Airplane possesses a high amount of KE.
  • Walking & Running activates.
  • Process of Cycling
  • A Cricket Ball in the playground.

How do you find the kinetic energy of a gas?

The kinetic energy of an ideal gas can be calculated just by multiplying the formula for the average linear kinetic energy by the total number of molecules present in the gas sample.

What three things does potential energy depend on?

PE energy depends on following three factors:

  • The total mass of the object.
  • height from the ground,
  • strength of gravity.

What happens when kinetic energy decreases?

The change in kinetic energy is said to equal to the change in potential energy. Both kinds of energies are negatively correlated with each other. It means that any decrease in KE will lead towards an increase in the PE, and vice-versa.

What does ke 1 2mv 2 mean?

According to The equation KE=1/2mv^2; the kinetic energy is equivalent to half of the mass of the object and two times of the object’s velocity.

What has kinetic energy in a house?

According to the definition of Kinetic energy, it is possessed by a body because of its motion. Therefore, every moving thing in the house has KE:

  • Running the fan on ceiling,
  • running water from the tap,
  • children running in the room

What does kinetic energy include?

  • Kinetic energy is the vitality of mass or an object that is moving.
  • The KE will increase with the moving speed of the object.
  • Any object that is in motion state has kinetic energy.
  • Any moving object that has energy because of its motion.

Takeaway:

This kinetic energy calculator is an efficient tool that offers its assistance to calculate the KE energy of every object in motion. Its working procedure is based on the standardized kinetic energy formulas, that are applicable to every object in a vertical or horizontal motion.

References:

From Wikipedia, the free encyclopedia – In physics, the kinetic energy (KE) – History and etymology –Overview – Newtonian kinetic energy – Rotating bodies – units for kinetic energy – Kinetic energy of systems – Kinetic energy in quantum mechanics

From the source of Wikihow – Recently updated – Co-authored by wikiHow Staff – How to Calculate Kinetic Energy

The source of toppr – kinetic energy formula – kinetic energy equation – what is kinetic energy – Solved Examples on Kinetic Energy Formula

From the source of khanacademy – Learn what kinetic energy means and how it relates to work – how to calculate kinetic energy – work and kinetic energy (KE)