Nishant Sihag
Indian Institute of Technology (IIT), Delhi
Nishant Sihag has created this Calculator and 50+ more calculators!
Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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11 Other formulas that you can solve using the same Inputs

Impulsive Torque
Impulsive Torque=(Moment of Inertia*(Final Angular Velocity-Angular velocity))/Time Taken to Travel GO
Strain Energy if moment value is given
Strain Energy=(Bending moment*Bending moment*Length)/(2*Elastic Modulus*Moment of Inertia) GO
Center of Gravity
Centre of gravity=Moment of Inertia/(Volume*(Centre of Buoyancy+Metacenter)) GO
Center of Buoyancy
Centre of Buoyancy=Moment of Inertia/(Volume*Centre of gravity)-Metacenter GO
Metacenter
Metacenter=Moment of Inertia/(Volume*Centre of gravity)-Centre of Buoyancy GO
Deflection of fixed beam with load at center
Deflection=-Width*(Length^3)/(192*Elastic Modulus*Moment of Inertia) GO
Nozzle Efficiency
Nozzle efficiency=Change in Kinetic Energy/Kinetic Energy GO
Angular Momentum
Angular Momentum=Moment of Inertia*Angular Velocity GO
Cooled Compressor Efficiency
Cooled Compressor Efficiency=Kinetic Energy/Work GO
Compressor Efficiency
Compressor efficiency=Kinetic Energy/Work GO
Turbine Efficiency
turbine efficiency=Work /Kinetic Energy GO

11 Other formulas that calculate the same Output

Angular velocity when kinetic energy is given
Angular Velocity=sqrt(2*Kinetic Energy/((Mass 1*(Radius of mass 1^2))+(Mass 2*(Radius of mass 2^2)))) GO
Constant Angular Velocity when Equation of Free Surface of liquid is Given
Angular Velocity=sqrt(Height*(2*[g])/(Distance from center to a point^2)) GO
Final angular velocity
Angular Velocity=Initial angular velocity+(Angular acceleration*Time) GO
Constant Angular Velocity when Centripetal acceleration at a radial distance r from axis is Given
Angular Velocity=sqrt(Centripetal acceleration/radial distance) GO
Angular velocity considering the depth of parabola
Angular Velocity=sqrt((depth of parabola*2*9.81)/(Radius 1^2)) GO
Angular velocity of electron
Angular Velocity=Velocity of electron/Radius of orbit GO
Angular velocity using angular momentum and inertia
Angular Velocity=Angular Momentum/Moment of Inertia GO
Angular velocity
Angular Velocity=(2*pi*Speed of impeller)/60 GO
Angular velocity of a body moving in a circle
Angular Velocity=Angular Displacement/Time GO
Angular velocity of diatomic molecule
Angular Velocity=2*pi*Rotational frequency GO
Angular velocity if linear velocity is known
Angular Velocity=Velocity/Radius GO

Angular velocity in terms of inertia and kinetic energy Formula

Angular Velocity=sqrt(2*Kinetic Energy/Moment of Inertia)
ω=sqrt(2*KE/I)
More formulas
Mass 1 of diatomic molecule GO
Mass 2 of diatomic molecule GO
Radius 1 of rotation GO
Radius 2 of rotation GO
Bond length GO
Radius 1 of rotation when bond length is given GO
Radius 2 of rotation when bond length is given GO
Radius 1 of rotation in terms of masses and bond length GO
Radius 2 of rotation in terms of masses and bond length GO
Bond length in terms of masses and radius 1 GO
Bond length in terms of masses and radius 2 GO
Kinetic energy of system GO
Velocity of particle 1 in terms of K.E GO
Velocity of particle 2 in terms of K.E GO
Velocity of particle 1 GO
Rotational frequency in terms of velocity 1 GO
Radius 1 when rotational frequency is given GO
Velocity of particle 2 GO
Rotational frequency in terms of velocity 2 GO
Radius 2 when rotational frequency is given GO
Angular velocity of diatomic molecule GO
Rotational frequency when angular frequency is given GO
Kinetic energy when angular velocity is given GO
Angular velocity when kinetic energy is given GO
Moment of inertia of diatomic molecule GO
Mass 1 when moment of inertia is given GO
Mass 2 when moment of inertia is given GO
Radius 1 when moment of inertia is given GO
Radius 2 when moment of inertia is given GO
Kinetic energy in terms of inertia and angular velocity GO
Moment of Inertia in terms of K.E and angular velocity GO
Moment of inertia using masses of diatomic molecule and bond length GO
Bond length using moment of inertia GO
Reduced mass GO
Moment of inertia using reduced mass GO
Reduced mass using moment of inertia GO
Bond length using reduced mass GO
Angular momentum using moment of inertia GO
Moment of inertia using angular momentum GO
Angular velocity using angular momentum and inertia GO
Kinetic energy in terms of angular momentum GO
Angular momentum in terms of kinetic energy GO
Moment of inertia using kinetic energy and angular momentum GO
Rotational constant GO
Beta using rotational energy GO
Beta in terms of rotational level GO
Moment of inertia using rotational constant GO
Moment of inertia using rotational energy GO
Rotational constant in terms of energy GO
Energy of rotational transitions from J to J +1 GO
Rotational constant using energy of transitions GO
Rotational constant in terms of wave number GO
Bond length of diatomic molecule in rotational spectrum GO
Centrifugal Distortion constant using rotational energy GO

How to get Angular velocity in terms of inertia and kinetic energy?

Rotational kinetic energy (K.E.) of a rotating object can be expressed as half of the product of the angular velocity of the object and moment of inertia around the axis of rotation (0.5*I* ω^2). So we get angular velocity as square root of twice of K.E. divided by moment of inertia (sqrt(2*K.E./I)).

How to Calculate Angular velocity in terms of inertia and kinetic energy?

Angular velocity in terms of inertia and kinetic energy calculator uses Angular Velocity=sqrt(2*Kinetic Energy/Moment of Inertia) to calculate the Angular Velocity, The Angular velocity in terms of inertia and kinetic energy formula is a variation of K.E. formula .Kinetic energy of a rotating object can be expressed as half of the product of the angular velocity of the object and moment of inertia around the axis of rotation. So thus we get the relation between angular velocity, moment of inertia and K.E. Angular Velocity and is denoted by ω symbol.

How to calculate Angular velocity in terms of inertia and kinetic energy using this online calculator? To use this online calculator for Angular velocity in terms of inertia and kinetic energy, enter Kinetic Energy (KE) and Moment of Inertia (I) and hit the calculate button. Here is how the Angular velocity in terms of inertia and kinetic energy calculation can be explained with given input values -> 0.201533 = sqrt(2*75/1.125).

FAQ

What is Angular velocity in terms of inertia and kinetic energy?
The Angular velocity in terms of inertia and kinetic energy formula is a variation of K.E. formula .Kinetic energy of a rotating object can be expressed as half of the product of the angular velocity of the object and moment of inertia around the axis of rotation. So thus we get the relation between angular velocity, moment of inertia and K.E and is represented as ω=sqrt(2*KE/I) or Angular Velocity=sqrt(2*Kinetic Energy/Moment of Inertia). Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes and Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.
How to calculate Angular velocity in terms of inertia and kinetic energy?
The Angular velocity in terms of inertia and kinetic energy formula is a variation of K.E. formula .Kinetic energy of a rotating object can be expressed as half of the product of the angular velocity of the object and moment of inertia around the axis of rotation. So thus we get the relation between angular velocity, moment of inertia and K.E is calculated using Angular Velocity=sqrt(2*Kinetic Energy/Moment of Inertia). To calculate Angular velocity in terms of inertia and kinetic energy, you need Kinetic Energy (KE) and Moment of Inertia (I). With our tool, you need to enter the respective value for Kinetic Energy and Moment of Inertia and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Angular Velocity?
In this formula, Angular Velocity uses Kinetic Energy and Moment of Inertia. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • Angular Velocity=Velocity of electron/Radius of orbit
  • Angular Velocity=2*pi*Rotational frequency
  • Angular Velocity=sqrt(2*Kinetic Energy/((Mass 1*(Radius of mass 1^2))+(Mass 2*(Radius of mass 2^2))))
  • Angular Velocity=Angular Momentum/Moment of Inertia
  • Angular Velocity=sqrt((depth of parabola*2*9.81)/(Radius 1^2))
  • Angular Velocity=(2*pi*Speed of impeller)/60
  • Angular Velocity=sqrt(Centripetal acceleration/radial distance)
  • Angular Velocity=sqrt(Height*(2*[g])/(Distance from center to a point^2))
  • Angular Velocity=Angular Displacement/Time
  • Angular Velocity=Velocity/Radius
  • Angular Velocity=Initial angular velocity+(Angular acceleration*Time)
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