The Equations of Rotational Kinematics help

AI Thread Summary
In the discussion about rotational kinematics, a fan's rotation of 2 complete revolutions is compared to linear kinematics. The key focus is on identifying the analogous quantity, with participants debating whether it relates to position, displacement, velocity, speed, or time. The consensus leans towards displacement, as time is not mentioned in the context of the question. The reasoning highlights that since velocity and speed depend on time, they are not applicable here. Ultimately, the discussion concludes that the correct analogy is displacement.
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Consider a fan that has rotated by a total of 2 complete revolutions from where it started. This quantity (2 revolutions) is analogous to what quantity in linear kinematics?

Position

Displacement

Velocity

Speed

Time





Time


Homework Equations



I am leaning towards velocity since displacement over time is velocity...

The Attempt at a Solution



 
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Is time mentioned at all in the question, aside from the possible answers?
 
no, it is not.
 
Then it's probably not anything to do with time, like velocity or speed.
 
so displacement
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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