How Do You Calculate Angular Acceleration of a Cylinder?

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To calculate the angular acceleration of a solid cylinder pivoting on a frictionless bearing, first determine the torque using the formula Torque = Force * Radius. Given a force of 6.573 N and a radius of 0.137 m, the torque can be calculated. The moment of inertia for the cylinder is I = (1.67 kg * (0.137 m)^2) / 2. Finally, use the relationship Torque = I * angular acceleration to find the angular acceleration. This approach effectively combines the concepts of torque and moment of inertia to solve for angular acceleration.
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Homework Statement




M, a solid cylinder (M=1.67 kg, R=0.137 m) pivots on a thin, fixed, frictionless bearing. A string wrapped around the cylinder pulls downward with a force F which equals the weight of a 0.670 kg mass, i.e., F = 6.573 N. Calculate the angular acceleration of the cylinder.


Homework Equations



F*R ?
ang accel. = alpha*R

The Attempt at a Solution



I multiplied Force*Radius, cause someone told me to start with that, but I'm not sure what to do next?
 
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F*R = Torque = I*alpha. where I is the moment of inertia of the solid cylinder=MR^2/2
 
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