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Angular Momentum Calculator
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Angular momentum calculator is an online tool which is used to calculate the momentum of a rotating body. We can use this concept when we consider the circular motion. Angular momentum and linear momentum gives the same idea, but first one is considered in the case of circular motion and latter one is in the case of linear motion. So angular momentum can also be expressed in terms of linear momentum. The notation of angular momentum is L and SI unit is Kgm2/s. The equations which is related to the angular momentum is given below:

Angular momentum is given by,

L=Iω

Where I is the moment of inertia
        ω is the angular velocity

In terms of linear momentum,

L=M×V×R

           Where M is the mass of an object
       V is the velocity
R is radius

 

Steps for Angular Momentum Calculator

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Step 1 :  

Identify the given quantities from the question.



Step 2 :  

Calculate the angular velocity by using appropriate equation given below according to the known parameters.


L=Iω

Where I is the moment of inertia
          ω is the angular velocity


Or



L=M×V×R

Where M is the mass of an object
          V is the velocity
          R is radius



Problems on Angular Momentum Calculator

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  1. Calculate the angular momentum of a rotating body provided that the moment of inertia is 5Kgm2 and angular velocity is 2rad/sec?


    Step 1 :  

    The given parameters are,


    I=5Kgm2


    ω=2rad/sec


    L=?



    Step 2 :  

    The equation for angular momentum is given by,


    L=Iω


    L=5×2=10Kgm2/s



    Answer  :  

    Angular momentum, L=10Kgm2/s



  2. Determine the value of angular momentum of a body whose mass, velocity and radius are 10Kg, 5m/s and 0.3m respectively?


    Step 1 :  

    The given quantities are,


    M=10Kg


    V=5m/s


    R=0.3m


    L=?



    Step 2 :  

    The equation of angular momentum is given by,


    L=M×V×R


    L=10×5×0.3=15Kgm2/s



    Answer  :  

    Angular momentum, L=15Kgm2/s



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