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Ф = ωo t + 1/2 α t²
Ф = 16 v . 2 π rad/v = 32 π rad
α = (3 ωo - ωo) / t = 2 ωo / 8 = ωo/4
reemplazamos en la primera ecuación:
32 π = 8 ωo + 1/2 . ωo / 4 . 8² = 16 ωo
Luego ωo = 2 π rad/s
La velocidad final es:
ω = 2 π + 2 π/4 . 8 = 6 π rad/s
Verificamos: α = 2 . 2 π / 8 = π/2 rad/s²
Ф = 2 π . 8 + 1/2 . π/2 . 8² = 32 π rad = 16 v
La opción correcta es D)
Saludos Herminio