Question

The chef at a pizza restaurant tosses a spinning disk of pizza dough into the air. As the disk stretches outward in midair and its diameter increases, what happens to the disk's angular momentum and angular velocity about the disk's center of mass

Answer 1

Answer:

* angular momentum throughout the lar process is conserved throughout the entire process

* the angular velocity decreases as the radius of the pizza increases

Explanation:

The system formed by the masses is isolated so its angular momentum is conserved

  initial instant, which throws the mass with angular velocity o and radius ro

           L₀ = I w₀

final instant. When the mass has a radius r and an angular velocity w

           L_f = I_f w

         

           Lo = l_f

           I₀ w₀ = I_f w_f

           $\frac{ w_f}{w_o } } = \frac{r_o}{r_f}$

         

let's analyze this result

* angular momentum throughout the lar process is conserved throughout the entire process

* the angular velocity decreases as the radius of the pizza increases