contestada

A spinning flywheel has rotational inertia I = 474.0 kg·m2. Its angular velocity decreases from 26.2 rad/s to zero in 204.0 s due to friction. What is the frictional torque acting?

Respuesta :

Answer:

[tex]\tau = 60.88 N.m[/tex]

Explanation:

given,

rotational inertia, I = 474.0 kg·m²

decrease in angular velocity

ω₁ = 26.2 rad/s        ω₂ = 0 rad/s

time = 204 s

torque = ?

[tex]\tau = I \alpha[/tex]

[tex]\alpha = \dfrac{\omega_1-\omega_2}{t}[/tex]

[tex]\alpha = \dfrac{26.2-0}{204}[/tex]

   α = 0.128 rad/s²

[tex]\tau = I \alpha[/tex]

[tex]\tau = 474\times 0.128[/tex]

[tex]\tau = 60.88 N.m[/tex]

frictional torque acting by the flywheel is equal to 60.88 N.m