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 74 cm and is wrapped around the top at a place where its radius is 2.3 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 +13 rad/s². What is the final angular velocity of the top when the string is completely unwound?

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 74 cm and is wrapped around the top at a place where its radius is 2.3 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 +13 rad/s². What is the final angular velocity of the top when the string is completely unwound?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Modern wind turbines generate electricity from wind power. The large, massive blades have a large moment of inertia and carry a great amount of angular momentum when rotating. A wind turbine has a total of 3 blades. Each blade has a mass of m = 5500 kg distributed uniformly along its length and extends a distance r = 44 m from the center of rotation. The turbine rotates with a frequency of f = 12 rpm. a)Calculate the total moment of inertia of the wind turbine about its axis, in units of kilogram meters squared. b)Enter an expression for the angular momentum of the wind turbine, in terms of the defined quantities. c)Calculate the angular momentum of the wind turbine, in units of kilogram meters squared per second.
A figure skater is spinning with an angular velocity of +16.4 rad/s. She then comes to a stop over a brief period of time. During this time, her angular displacement is +3.65 rad. Determine (a) her average angular acceleration and (b) the time during which she comes to rest.
A motorcyclist is traveling along a road and accelerates for 4.11 s to pass another cyclist. The angular acceleration of each wheel is +7.42 rad/s2, and, just after passing, the angular velocity of each is +76.5 rad/s, where the plus signs indicate counterclockwise directions. What is the angular displacement of each wheel during this time?
A solid sphere is released from the top of a ramp that is at a height h, = 1.85 m. It rolls down the ramp without slipping. The bottom of the ramp is at a height of h, = 1.48 m above the floor. The edge of the ramp is a short horizontal section from which the ball leaves to land on the floor. The diameter of the ball is 0.12 m. h2 (a) Through what horizontal distance d, in meters, does the ball travel before landing? (b) How many revolutions does the ball make during its fall? rev
A customer service person in a department store is wrapping packages for customers. The ribbon spool she uses has 13.7 m of ribbon wound on it. The radius of the spool is 16.0 cm and its moment of inertia is 0.55 kg. m². As the spool turns, friction forces cause a torque of 0.17 N m to act on it. The spool is initially at rest. The service person pulls on the spool with a constant tension of 11.5 N. Determine the time it takes, in seconds, to unwind 5.5 m of the ribbon, assuming there is no slippage and the mass of the ribbon is negligible.
Chapter 10, Problem 053 GO The figure shows a uniform disk that can rotate around its center like a merry-go-round. The disk has a radius of 1.6 cm and a mass of 24 grams and is initially at rest. Starting at time t = 0, two forces are to be applied tangentially to the rim as indicated, so that at time t = 1.3 s the disk has an angular velocity of 290 rad/s counterclockwise. Force F, has a magnitude of 0.102 N. What is magnitude F2? Number Units the tolerance is +/-2% Click if you would like to Show Work for this question: Open Show Work
A wind turbine is initially spinning at a constant angular speed. As the wind's strength gradually increases, the turbine experiences a constant angular acceleration 0.149 rad/s2. After making 2870 revolutions, its angular speed is 151 rad/s. (a) What is the initial angular velocity of the turbine? (b) How much time elapses while the turbine is speeding up?(a) Number Units (b) Number Units
A net torque with a magnitude of 10.0 N.m acts on an object that starts at rest. Find the magnitude of the final angular speed after 7.0 seconds if the object is a thin spherical shell of 2.5 kg and radius 330 cm.
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 63 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 +14 rad/s2. What is the final angular velocity of the top when the string is completely unwound?
A 17.0-m length of hose is wound around a reel, which is initially at rest. The moment of inertia of the reel is 0.490 kg-m², and its radius is 0.150 m. When turning, friction at the axle exerts a torque of magnitude 3.20 N-m on the reel. If the hose is pulled so that the tension in it remains a constant 26.0 N, how long does it take to completely unwind the hose from the reel? Neglect the mass and the thickness of the hose, and assume that the hose unwinds without slipping.
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 52 cm and is wrapped around the top at a place where its radius is 2.2 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 +11 rad/s². What is the final angular velocity of the top when the string is completely unwound? Number Before string is pulled After string is pulled Units
To open the cap of a soda bottle, a net tangential force of 0.0012 N is applied at the rim. Assuming that the cap is a uniform disk with mass m=0.00218 kg, radius r=0.0137 m, and moment of inertia Icom = mr2 what is the magnitude of the angular acceleration of the cap? O 5.87 x 103 rad/s2 80.4 rad/s? O 1.64 x 10-5 rad/s? O 0.550 rad/s2