Question

An object has rotational inertia I. The object,initially at rest, begins to rotate with a constant angularacceleration of magnitude alpha. What isthe magnitude of the angular momentum L ofthe object after time t?
Express your answer in terms ofI, alpha, andt.
L =
...............................................

Answer 1

Answer:

L = I α t

Explanation:

given,                                          

rotational inertia = I              

initial velocity = ω₀                      

magnitude of acceleration = α      

angular momentum = L          

time = t                              

angular acceleration                                

$\alpha = \dfrac{\omega-\omega_0}{t}$

$\alpha = \dfrac{\omega - 0}{t}$

$\alpha = \dfrac{\omega}{t}$

ω = α t..............(1)

angular momentum                    

L = I ω                    

putting value from equation (1)

L = I α t