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

L = I α t

Step-by-step explanation:

given,

rotational inertia = I

initial velocity = ω₀

magnitude of acceleration = α

angular momentum = L

time = t

angular acceleration

`\alpha = (\omega-\omega_0)/(t)`

`\alpha = (\omega - 0)/(t)`

`\alpha = (\omega)/(t)`

ω = α t..............(1)

angular momentum

L = I ω

putting value from equation (1)

L = I α t