The magnitude of the angular momentum of the particle about the center of the circle as a function of time will be mbr²t. Option C is correct.
The rotational analog of linear momentum is angular momentum also known as moment of momentum or rotational momentum.
It is significant in physics because it is a conserved quantity. the total angular momentum of a closed system remains constant. Both the direction and magnitude of angular momentum are conserved.
The angular momentum is found as;
L=Iω
L=(mr²)(bt)
L=mbr²t
The magnitude of the angular momentum of the particle about the center of the circle as a function of time will be mbr²t.
Hence,option C is correct.
To learn more about the angular momentum refer to the link;
https://brainly.com/question/15104254
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