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Filename: controllers/formulas.php

Line Number: 37

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L = I ω

Where, I = moment of inertia

ω = angular velocity

Unit of angular momentum is kg m^2/sec.

Relation between Linear and angular momentum is:

L = r x p

Where, r = radius of the circular path.

p = linear momentum.

Angular velocity, ω = 60 radian/sec

Radius, r = 0.25 m

Mass, m = 450 kg

So that, Moment of inertia, I = ½ mr^2

= ½ (450)(0.25)^2 = 14.06 kg m^2

Now we have a formula for angular momentum,

L = I ω

= 14.06 (60) = 843.75 Kgm^2 s^-1.

Angular velocity, ω = 6 rad/sec

Radius, r = 3 m

Mass, m = 4 Kg

So that, Angular momentum, L = Iω

= mr^2 ω

= 4(3)^2 (6)

= 216 Kgm^2 s^-1.