Answer :
Answer:
Option C
multiplying the difference in the two torques by the time for which the new torque is applied.
Explanation:
Torques is a rotational force and it is the rate change of angular momentum expressed by:
T= ∆L/∆t eqn.1
where T= torque
∆L = Angular momentum
∆t= time difference
Angular momentum can now be expressed as ∆L= T × ∆t. eqn.2
From the eqn. 2 it can be deducted that angular momentum can be expressed by multiplying the difference in the two torques by the time for which the new torque is applied.
Answer:
c. multiplying the difference in the two torques by the time for which the new torque is applied
Explanation:
For a particle moving in a circular orbit, the angular momentum is
L = r x p = m r2 ω.
For a continuous mass distribution, L = ∫ dm r2 ω = Iω
Angular momentum is a vector that is parallel to the angular velocity.
If there is no net torque acting on a system, the system's angular momentum is conserved.
A net torque produces a change in angular momentum that is equal to the torque multiplied by the time interval over which the torque is applied. From Newton's second law for rotational motion,
ΔL = Δt*τ
In differential form,
Στ = dLdt = d(Iω)dt = Idωdt+ ω
Integrating the general equation gives: ∫ ∑ τ dt = ΔL
The net torque equals the rate of change of the angular momentum.
The net torque acting over a time interval is the angular impulse.