Question about kinematic equation

[Miike012]

Assuming initial angular velocity is 0 I want to solve for final position theta

Ang Acceleration = Δw/Δt = w/t

w = Δ(theta)/Δt = theta/t

ang acc = theta/t^2

theta = (ang acc)(t^2)

but how come the kinematic equation is...theta = (ang acc)t^2/2

Where did my 2 go?

 

[PhanthomJay]

Assuming initial angular velocity is 0 I want to solve for final position theta

Ang Acceleration = Δw/Δt = w/t

w = Δ(theta)/Δt = theta/t

this formula gives the average angular velocity. You are looking for the instantaneous final angular velocity, which is twice the average.

acc = theta/t^2

theta = (ang acc)(t^2)

but how come the kinematic equation is...theta = (ang acc)t^2/2

Where did my 2 go?

The displacement theta is {(wo+wf)/2} (t)