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a cd has a mass of 17 g and a radius of 6.0 cm. when inserted into a player, the cd starts from rest and accelerates to an angular velocity of 21 rad/s in 0.52 s. assuming the cd is a uniform solid disk, determine the net torque acting on it.

Respuesta :

Assuming the cd is a uniform solid disk, Then the net torque acting on it is τ≈7.4×10⁻⁴ N

The product of an object's moment of inertia and angular acceleration is the torque operating on that item. We must know the CD player's moment of inertia and angular acceleration in order to calculate the torque operating on it.

Angular Acceleration:

α=ω2−ω1/t

α=22 rad/s²−0/0.91

α=24.17582rad/s²

Momemt of inertia:

I=1/2mr²

I=1/2(17×10⁻³ kg)(6.0×10⁻²m)²

I=0.0000306 kg.m²

Now, Torque:

τ=Iα

τ=(0.0000306)(24.17582)

τ=0.000739780092 kg⋅m²/s2

τ≈7.4×10⁻⁴ N

Therefore,  Torque≈7.4×10⁻⁴ N

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