Δ L \Delta L Δ L delta, L is change of angular momentum, τ \tau τ tau is net torque, and Δ t \Delta t Δ t delta, t is time interval.Ĭhange in angular momentum is proportional to average net torque and the time interval the torque is applied. The impulse is equal to the change of momentum caused by the impulsive force and can be expressed as I F dt dM (2) where I impulse (N s) Example - resulting Velocity after an Acting Force A force 1000 N is acting on a car with mass 1000 kg in 10 second. Δ L = τ Δ t \Delta L=\tau \Delta t Δ L = τ Δ t delta, L, equals, tau, delta, t If the 2.0 kg object travels with a velocity of 10 m/s before it hits the wall, then the impulse can be calculated. L L L L is angular momentum, m m m m is mass, v v v v is linear velocity, and r ⊥ r_\perp r ⊥ r, start subscript, \perp, end subscript is the perpendicular radius from a chosen axis to the mass's line of motion.Īngular momentum of an object with linear momentum is proportional to mass, linear velocity, and perpendicular radius from an axis to the line of the object's motion. L = m v r ⊥ L=mvr_\perp L = m v r ⊥ L, equals, m, v, r, start subscript, \perp, end subscript 8.1Linear Momentum, Force, and Impulse 8.2Conservation of Momentum 8. L L L L is angular momentum, I I I I is rotational inertia, and ω \omega ω omega is angular velocity.Īngular momentum of a spinning object without linear momentum is proportional to rotational inertia and angular velocity. L = I ω L=I \omega L = I ω L, equals, I, omega
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