Answer:
average acceleration = 2.74 x 10⁻³ rad/s²
Explanation:
given,
CD playing time = 76 minutes
initial angular speed of CD = 4.10 × 10² rev/min
= [tex]4.1 \times 10^2\times \dfrac{2 \pi}{60}[/tex]
= 42.9 rad/s
final angular speed of CD = 2.90 × 10² rev/min
= [tex]2.9 \times 10^2\times \dfrac{2 \pi}{60}[/tex]
= 30.37 rad/s
average acceleration = [tex]\dfrac{\omega_f-\omega_i}{t}[/tex]
= [tex]\dfrac{30.37 -42.9}{76\times 60}[/tex]
average acceleration = 0.00274 rad/s²
average acceleration = 2.74 x 10⁻³ rad/s²