A horizontal circular platform (M = 97.1 kg, r= 3.25 m) rotates about a frictionless vertical axle. A 63.3-kg student walks slowly from the of the platform toward the center. The angular velocity of the system is 2.3 rad/s when the student is at the rim. Find the angular velocity of %3D system when the student is 1.31 m from the center. HINT: Remember to conserve angular momentum of the system both before and after the ent moves.

A horizontal circular platform (M = 97.1 kg, r= 3.25 m) rotates about a frictionless vertical axle. A 63.3-kg student walks slowly from the of the platform toward the center. The angular velocity of the system is 2.3 rad/s when the student is at the rim. Find the angular velocity of %3D system when the student is 1.31 m from the center. HINT: Remember to conserve angular momentum of the system both before and after the ent moves.

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

6.
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.
Please help solve for the angular velocity. The hint is: The torques that accelerate the bananas and the monkey when they land on the platform are internal to the system.
Needs Complete typed solution with 100 % accuracy.
A solid disk rotates in the horizontal plane at an angular velocity of 4.20 × 10-2 rad/s with respect to an axisperpendicular to the disk at its center. The moment of inertia of the disk is 0.14 kg.m2. From above, sand is droppedstraight down onto this rotating disk, so that a thin uniform ring of sand is formed at a distance of 0.40 m from the axis.The sand in the ring has a mass of 0.50 kg. After all the sand is in place, what is the angular velocity of the disk?
A 5.0 kgkg, 68-cmcm-diameter cylinder in (Figure 1) rotates on an axle passing through one edge. The axle is parallel to the floor. The cylinder is held with the center of mass at the same height as the axle, then released. What is the magnitude of the cylinder's angular velocity when it is directly below the axle?
A 42.7 kg person starts at the center of a frictionless rotating merry-go-round that has a radius of 2.72 m and a mass of 60.5 kg that is uniformly distributed throughout. If the initial angular velocity is 5.39 rad/s, what is the tangential velocity of the person when they move to the edge of the merry-go-round?
A carousel has a radius of 1.70 m and a moment of inertia of 122 kg - m². A girl of mass 43.5 kg is standing at the edge of the carousel, which is rotating with an angular speed of 3.20 rad/s. Now the girl walks toward the center of the carousel and stops at a certain distance from the center d. The angular speed of the carousel is now 5.0 rad/s. How far from the center, in meters, did the girl stop? m
A sanding disk with rotational inertia 0.0012 kg-m2 is attached to an electric drill whose motor delivers a torque of magnitude 15 N-m about the central axis of the disk. About that axis and with a torque applied for 48 millisecond, what is the magnitude of the angular momentum?
A playground uniform merry-go-round has a mass of 110 kg and a radius of 1.90 m and it is rotating at a rate of 40 revolutions per minute. a) What is its angular velocity [ in rad/s] after a 20-kg child gets onto it by grabbing its outer edge? The child is initially standing on the ground. b) What is the new angular velocity [in rad/s] after the child moves to the center of the merry-go-round?
Only good expert. I will rate accordingly.
A merry-go-round has a radius of 16.5 m and a moment of inertia of 310 kg-m². A boy of mass 44.9 kg runs tangent to the rim at a speed of 4 m/s and jumps on. If the merry-go-round is initially at rest, what is the angular velocity after the boy jumps on? Help on how to format answers: units w/