Answer:
shown in the attachment
Explanation:
The detailed step by step and necessary mathematical application is as shown in the attachment.
First of all we need to convert everything into SI units.
Let's start with the initial angular speed,

. Keeping in mind that


we have

And we should also convert the angle covered by the centrifuge:

This is the angle covered by the centrifuge before it stops, so its final angular speed is

.
To solve the problem we can use the equivalent of

of an uniformly accelerated motion but for a rotational motion. It will be

And by substituting the numbers, we can find the value of

, the angular acceleration:
Answer:
775.48 W
Explanation:
given,
diameter of disk = 0.6 cm
length of the disk = 0.4 m
T₁ = 450 K T₂ = 450 K T₃ = 300 K
= 1.33
now,
the value of view factor (F₁₂)corresponding to 1.33
F₁₂ = 0.265
F₁₃ = 1 - 0.265 = 0.735
now,
net rate of radiation heat transfer from the disk to the environment:

= 2 F₁₃ A₁ σ (T₁⁴ - T₃⁴)
= 2 x 0.735 x π x (0.3)² x (5.67 x 10⁻⁸ W/m²) (450⁴ - 300⁴)
= 775.48 W
Net radiation heat transfer from the disks to the environment = 775.48 W
This is the answer just double it