Answered: A top is a toy that is made to spin on…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter8: Rotational Equilibrium And Dynamics

Section: Chapter Questions

Problem 47P: The uniform thin rod in Figure P8.47 has mass M = 3.50 kg and length L = 1.00 m and is free to...

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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 32 cm and is wrapped around the top at a place where its radius is 88.58 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 +9 rad/s^2. What is the final angular velocity of the top when the string is completely unwound? Note: express your answer in whole numbers. No unit is required for the final answer. Set your calculator in radians.

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

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