Calculating Angular Velocity and Gear Ratio for a Winding Drum

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The discussion focuses on calculating angular velocity and gear ratio for a winding drum. The user calculates angular velocity using the formula w = 2PI f, resulting in 66.66 radians/second. They then compute the linear velocity of the drum as V = wr, yielding 19998. The user also attempts to find the motor velocity by dividing the drum velocity by the gearbox reduction ratio of 200, resulting in 99.99. The conversation highlights the importance of correct formulas and calculations in solving the problem.
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Homework Statement



q2.jpg



Homework Equations



w = 2PI f

v = wr

Time = 2PI R/V

The Attempt at a Solution



w = (2000/PI x 60) x 2PI = 66.66 Radians/Sec

V = wr = 66.6 x 300 = 19998 ( Is this velocity of the winding drum)

19998/200 = 99.99 ( Velocity/200 reduction gearbox, gives me the velocity of the motor?)


Help Appriciated.
 
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The centripetal force was also given, but you didn't write down the corresponding formula...
 
Sorry my mistake i have posting the wrong image its ment to be:

I was thinking to my self, iIve been working on that question, with someone from the froums.
q1.jpg
 

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