# Is ANGULAR IMPULSE same as ANGULAR MOMENTUM ?Please clear my doutb soon.Thank you .

1
by RajPatel62

2014-12-18T14:43:57+05:30

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Usually impulse is the physical quantity that is the change in momentum due to a force or a torque.

Suppose a ball of 2 kg is moving with a velocity of 5 m/s.  A force acts on it for 0.1 sec and the ball now moves at 10 m/s.

Linear Impulse (vector) is the change in linear momentum p due to this force during short time
J  =  Δp = p1 - p2 = d p /  dt  = Δ p /Δ t
magnitude of J   = 2 * 10 -  2 * 5  = 10 kg-m/sec
It is equal to the force * time duration.

Similarly, change in angular momentum L due to a torque (during a short period Δt) acting on a rotating object of mass m and moment of inertia I, and initial angular velocity ω1 and final angular velocity ω2,  is called  angular impulse ΔL. It is also a vector.
L =  I ω
ΔL =  I (ω2 - ω1)
= angular torque * time duration = T * t = I * α *  t =
its units are    kg-meter² / radian / sec