Answer:
The change in angular momentum is [tex]\Delta L = 0.0016 \ kgm^2/s[/tex]
Explanation:
From the question we are told that
The initial angular velocity of the spinning top is [tex]w_1 = 16 \ rad/s[/tex]
The angular velocity after it slow down is [tex]w_2 = 12 \ rad/s[/tex]
The time for it to slow down is [tex]t = 18 \ s[/tex]
The rotational inertia due to friction is [tex]I = 0.0004 \ kg \cdot m^2[/tex]
Generally the change in the angular momentum is mathematically represented as
[tex]\Delta L = I *(w_1 -w_2)[/tex]
substituting values
[tex]\Delta L = 0.0004 *(16 -12)[/tex]
[tex]\Delta L = 0.0016 \ kgm^2/s[/tex]
