Given:
initial angular speed,
= 21.5 rad/s
final angular speed,
= 28.0 rad/s
time, t = 3.50 s
Solution:
Angular acceleration can be defined as the time rate of change of angular velocity and is given by:

Now, putting the given values in the above formula:


Therefore, angular acceleration is:

Forces may cause a three-dimensional object to rotate. These forces are called "orthogonal force vectors" which composes of a horizontal component and vertical component, which hand-in-hand, help a body to rotate in accordance with the force applied on a part of its surface.
Answer:
f= 0.48 s⁻¹
Explanation:
Given that
Mass of the ladder ,m= 6 kg
L= 2 m
Mass of artist ,M= 42 kg
The total moment of inertia of the both ladder and artist ,I

Here


I=50 kg.m²
The angular frequency f given as

Here 


D=1 m

f= 0.48 s⁻¹