A long string is wrapped around a 6.0-cm-diameter cylinder, initially at rest, that is free to rotate

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A long string is wrapped around a 6.0-cm-diameter cylinder, initially at rest, that is free to rotate on an axle. The string is then pulled with a constant acceleration of 1.5 m/s2 until 1.0 m of string has been unwound. If the string unwinds without slipping, what is the cylinder’s angular speed, in rpm, at this time?

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