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6. assignment (rotational dynamics)

As seen from above in the image, a string is wrapped around the edge of a uniform cylinder of radius R = 27 cm and mass M = 1 kg which is initially resting motionless on a frictionless table. 


The end of the string is pulled with a force of 72 N for 0.8 m. If the linear speed of the cylinder is found to be 6.19677 m/s, what is the angular speed of the cylinder (in rad/s)? Answer in units of rad/s. 
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