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Angular Momentum Solution

STEP 0: Pre-Calculation Summary
Formula Used
angular_momentum = Moment of Inertia*Angular Velocity
L = I*ω
This formula uses 2 Variables
Variables Used
Moment of Inertia - Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis. (Measured in Kilogram Meter²)
Angular Velocity - The angular velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time. (Measured in Radian per Second)
STEP 1: Convert Input(s) to Base Unit
Moment of Inertia: 1.125 Kilogram Meter² --> 1.125 Kilogram Meter² No Conversion Required
Angular Velocity: 20 Radian per Second --> 20 Radian per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = I*ω --> 1.125*20
Evaluating ... ...
L = 22.5
STEP 3: Convert Result to Output's Unit
22.5 Kilogram meter² per Second --> No Conversion Required
FINAL ANSWER
22.5 Kilogram meter² per Second <-- Angular Momentum
(Calculation completed in 00.016 seconds)
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11 Other formulas that you can solve using the same Inputs

Variation of acceleration due to gravity effect on the surface of earth
variation_of_acceleration_due_to_gravity = Acceleration Due To Gravity*(1-[Earth-R]*Angular Velocity/Acceleration Due To Gravity) Go
Strain Energy if moment value is given
strain_energy = (Bending moment*Bending moment*Length)/(2*Elastic Modulus*Moment of Inertia) Go
Angular Displacement if initial angular velocity, angular acceleration and time are given
angular_displacement = (Angular Velocity*Time Taken to Travel)+((Angular Acceleration*(Time Taken to Travel)^2)/2) Go
Impulsive Torque
impulsive_torque = (Moment of Inertia*(Final Angular Velocity-Angular velocity))/Time Taken to Travel 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
Angular Displacement of body when initial and final angular velocity and angular acceleration are given
angular_displacement = ((Final Angular Velocity)^2-(Angular Velocity)^2)/(2*Angular Acceleration) Go
Angular Displacement if initial angular velocity, final angular velocity and time are given
angular_displacement = ((Angular Velocity+Final Angular Velocity)*Time Taken to Travel)/2 Go
Final Angular Velocity if initial angular velocity, angular acceleration and time is given
final_angular_velocity = Angular Velocity+(Angular Acceleration*Time Taken to Travel) Go
Angle Traced in nth Second (accelerated rotatory motion)
angular_displacement = Angular Velocity+((Angular Acceleration*(2*Nth Second-1))/2) Go

11 Other formulas that calculate the same Output

Orbital Angular Momentum
angular_momentum = sqrt(Azimuthal Quantum Number*(Azimuthal Quantum Number+1))*Plancks Constant/(2*pi) Go
Spin Angular Momentum
angular_momentum = sqrt(Spin Quantum Number*(Spin Quantum Number+1))*Plancks Constant/(2*pi) Go
Angular momentum of electron
angular_momentum = (Minor axis of elliptical orbit*[hP])/(2*pi) Go
Angular momentum of electron when radial momentum is given
angular_momentum = sqrt((Total momentum^2)-(Radial momentum^2)) Go
Angular Momentum Using Quantum Number
angular_momentum = (Quantum Number*Plancks Constant)/(2*pi) Go
Angular momentum in terms of kinetic energy
angular_momentum = sqrt(2*Moment of Inertia*Kinetic Energy) Go
Angular Momentum
angular_momentum = Mass*Velocity*Radius Go
Initial angular momentum
angular_momentum = Moment of Inertia*Initial angular velocity Go
Angular moment of momentum at inlet
angular_momentum = Tangential velocity at inlet*Radius 1 Go
Angular moment of momentum at exit
angular_momentum = Tangential velocity at exit*Radius 1 Go
Angular momentum using moment of inertia
angular_momentum = Moment of Inertia*Angular Velocity Go

Angular Momentum Formula

angular_momentum = Moment of Inertia*Angular Velocity
L = I*ω

How to Calculate Angular Momentum?

Angular Momentum calculator uses angular_momentum = Moment of Inertia*Angular Velocity to calculate the Angular Momentum, Angular Momentum is the degree to which a body rotates, gives its angular momentum. Angular Momentum and is denoted by L symbol.

How to calculate Angular Momentum using this online calculator? To use this online calculator for Angular Momentum, enter Moment of Inertia (I) and Angular Velocity (ω) and hit the calculate button. Here is how the Angular Momentum calculation can be explained with given input values -> 22.5 = 1.125*20.

FAQ

What is Angular Momentum?
Angular Momentum is the degree to which a body rotates, gives its angular momentum and is represented as L = I*ω or angular_momentum = Moment of Inertia*Angular Velocity. Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis and The angular velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.
How to calculate Angular Momentum?
Angular Momentum is the degree to which a body rotates, gives its angular momentum is calculated using angular_momentum = Moment of Inertia*Angular Velocity. To calculate Angular Momentum, you need Moment of Inertia (I) and Angular Velocity (ω). With our tool, you need to enter the respective value for Moment of Inertia and Angular Velocity 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 Momentum?
In this formula, Angular Momentum uses Moment of Inertia and Angular Velocity. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • angular_momentum = Mass*Velocity*Radius
  • angular_momentum = (Quantum Number*Plancks Constant)/(2*pi)
  • angular_momentum = sqrt(Azimuthal Quantum Number*(Azimuthal Quantum Number+1))*Plancks Constant/(2*pi)
  • angular_momentum = sqrt(Spin Quantum Number*(Spin Quantum Number+1))*Plancks Constant/(2*pi)
  • angular_momentum = (Minor axis of elliptical orbit*[hP])/(2*pi)
  • angular_momentum = sqrt((Total momentum^2)-(Radial momentum^2))
  • angular_momentum = Moment of Inertia*Angular Velocity
  • angular_momentum = sqrt(2*Moment of Inertia*Kinetic Energy)
  • angular_momentum = Tangential velocity at inlet*Radius 1
  • angular_momentum = Tangential velocity at exit*Radius 1
  • angular_momentum = Moment of Inertia*Initial angular velocity
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