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Nb
Oct29-03, 02:27 PM
A top is a toy that is made to spin on its pointed end by pulling on a string wrapped around the body of the top. The string has a length of 64 cm and is wrapped around the top at a place where its radius is 2.0 cm. The thickness of the string is negligible. The top is initially at rest. Someone pulls the free end of the string, thereby unwinding it and giving the top an angular acceleration of +12 rad/s2. What is the final angular velocity of the top when the string is completely unwound?

HallsofIvy
Oct29-03, 04:51 PM
Come on, now, you know the rules. You DID read "Read this before posting" before posting!? Show us what you have tried. You know the length of the string so you should know how many times it wraps around the top. How many radians is that? Since you know the angular acceleration, you can calculate how many seconds it takes for that entire length of string to unwind. How does the angular velocity change in that time?