What is the Angular Speed of a Disk Pulled with a Constant Force?

AI Thread Summary
To find the angular speed of a 6kg disk with a radius of 0.3m, initially not spinning, when pulled with a constant force of 25N over a distance of 0.6m, the moment of inertia is calculated as 0.27. The challenge lies in relating the applied force and distance to the resulting angular speed. The relevant equation for rotational kinetic energy is Krotational = 1/2 I w², but further steps are needed to connect linear force to angular motion. Clarification on the relationship between linear displacement and angular speed is required for a complete solution. Understanding these concepts is crucial for solving the problem effectively.
MillerGenuine
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Homework Statement



A 6kg disk with radius 0.3m initially not spinning. String is wrapped around disk, you pull with constant force of 25N through a distance of 0.6m. What is its angular speed.

Homework Equations



Krotational=1/2 I w2




The Attempt at a Solution



I can't seem to figure this out. I found moment of inertia no problem (0.27), but I am stuck there. I can't seem to relate Force and Distance to angular speed.
 
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