Respuesta :

The angular speed can't be determined without knowing the rotational inertia of the disk. The correct option is D.

What is rotational moment of inertia?

 It is the quantitative measure of the inertia when a body is rotating.

Given, radius of disk R= 0.5 m, Force F=2N, then torque developed will be

τ = F x R = 2 x 0.5 =1N..m

If m is the mass of disk, the rotational moment of inertia about center of disk is

I = mR²/2 = m(0.5)²/2 = m/8 kg.m²

The angular acceleration is α =τ/I = 1/(m/8) =8/m

Angular velocity ω =ω₀ +αt = 0+(8/m) x 1 =8/m rad/s

Thus, the correct option is D.

Learn more about rotational moment of inertia.

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