- #1
CraigH
- 222
- 1
I'm looking for an equation similar to the change in forward momentum equation:
Δmv=f*Δt
But for angular momentum.
I think it will be (change in angular momentum) = (torque) * (change in time)
Here is how I derived it:
Is this all correct? I cannot find this equation anywhere on the internet but it seems right.
Thanks
Δmv=f*Δt
But for angular momentum.
I think it will be (change in angular momentum) = (torque) * (change in time)
Here is how I derived it:
Angular momentum = L
Torque = T
Moment of Inertia = I
Angular Acceleration = α
Velocity = V
Angular Velocity = ω
Radians = θ
Force = F
Time = t
Angular velocity and acceleration
ω=Δ θ/Δt
α= Δ θ/((Δt)^2)
Newton's 2nd law angular form T=I α
Definition of angular momentum L=I ω
I=T/α
I=L/ ω
T/α = L/ ω
T/(Δ θ/((Δt)^2)) = L/(Δ θ/Δt)
T(Δ θ/Δt) /(Δ θ/((Δt)^2)) =L
T/(1/ Δt)=L
T Δt =L
L=T Δt
Is this all correct? I cannot find this equation anywhere on the internet but it seems right.
Thanks