Answer:
the correct one is B, θ = [tex]\frac{1}{4\pi }[/tex] w t [rev]
Explanation:
This is a rotational kinematics exercise
w = w₀ + α t
w² = w₀² + 2 α θ
indicate that part of rest whereby the initial angular velocity is zero
w = α t -> α = w/t
w² = 2 α θ
we substitute
w² = 2 (w / t) θ
w = 2 θ / t
θ = w t / 2
This angle is given in radians, let's reduce to revolutions = 2π rad = 1 rev
θ = w t / 2 rad (1 rev / 2π rad)
θ = [tex]\frac{1}{4\pi }[/tex] w t [rev]
when checking the answers, the correct one is B, even though he has some mistakes in his writing
