Conceptual Example 14 provides useful background for this problem. A playground carousel is free to rotate about its center on frictionless bearings, and air resistance is negligible. The carousel itself (without riders) has a moment of inertia of 114 kg-m?. When one person is standing at a distance of 1.53 m from the center, the carousel has an angular velocity of 0.607 rad/s. However, as this person moves inward to a point located 0.759 m from the center, the angular velocity increases to 0.703 rad/s. What is the person's mass?

Conceptual Example 14 provides useful background for this problem. A playground carousel is free to rotate about its center on frictionless bearings, and air resistance is negligible. The carousel itself (without riders) has a moment of inertia of 114 kg-m?. When one person is standing at a distance of 1.53 m from the center, the carousel has an angular velocity of 0.607 rad/s. However, as this person moves inward to a point located 0.759 m from the center, the angular velocity increases to 0.703 rad/s. What is the person's mass?

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

The figure above shows Einstein spinning on a platform. He is initially spinning at a rate of 1rev/s, and holding his hands a distance of R1 = 80.3 cm away from his body. He then pulls his arms in to a distance of R2 = 40cm, changing his rotational speed. In this problem you can model Einstein’s body as a cylinder with a moment of inertia I = 30MR2, where M is his mass (60kg), and R is the distance his hands are from his body. (Notice that the figure shows him holding weights, but we are going to assume they are massless, to make it simpler!)(a) If he draws his arms in very quickly, you can safely ignore any frictional force on the platform. Assuming this is true, how fast is he rotating after he draws his arms in? (b) In reality, after he draws his arms in friction will start to slow him down. If this small amount of friction is applying a torque of 4 Nm to the platform, how long would it take before Einstein stops moving?
A playground merry-go-round of radius R = 1.80 m has a moment of inertia I = 255 kg. m² and is rotating at 12.0 rev/min about a frictionless vertical axle. Facing the axle, a 23.0-kg child hops onto the merry-go-round and manages to sit down on the edge. What is the new angular speed of the merry-go-round? rev/min
There is a circular disk of radius 0.5 m and mass 2 kg. A child throws down a rock, hitting the edge of the disk perpendicularly with a force of 50 N. Thedisk doesn't break, but starts to spin. If the moment of inertia for the circular disk rotating about the center is 1/2M(r^2), What is the tangential acceleration of a point on the disk 0.05 m from the point of impact?
A disc with 0.6 kg m^2 moment of inertia is free to rotate about its center. Two forces F1=5N and F2=3N is applied perpendicularly but on the opposite sides of disc. What is its angular acceleration if radius is 0.2 meters.
A point mass of O.4 kg is set to rotate about a fixed axis 0.7 m away. The mass is initially at rest and undergoes a constant angular acceleration of 9.3 rad/s². What is the magnitude of the total acceleration after 0.2 revolutions?
A figure skater has a moment of inertia of 0.33 kg-m2. He is spinning at 336.4 rpm. He extends his arms until he slows down to 74.3 rpm. What is his new moment of inerta (in kg-m2)?
A large turntable rotates about a fixed vertical axis, making one revolution in 6.00 ss. The moment of inertia of the turntable about this axis is 1300 kg⋅m2kg⋅m2. A child of mass 35.0 kgkg, initially standing at the center of the turntable, runs out along a radius. What is the angular speed of the turntable when the child is 2.50 mm from the center, assuming that you can treat the child as a particle?
A space station shaped like a giant wheel has a radius 103 m and a moment of inertia of 4.97 x 108 kg-m². A crew of 150 lives on the rim, and the station is rotating so that the crew experiences an apparent acceleration of 1 g. When 100 people move to the center of the station for a union meeting, the angular speed changes. What acceleration is experienced by the managers remaining at the rim? Assume that the average mass of each inhabitant is 65.0 kg. m/s²
A student sits on a rotating stool holding two 2.7-kg objects. When his arms are extended horizontally, the objects are 1.0 m from the axis of rotation and he rotates with an angular speed of 0.75 rad/s. The moment of inertia of the student plus stool is 3.0 kg · m2and is assumed to be constant. The student then pulls in the objects horizontally to 0.38 m from the rotation axis. (a) Find the new angular speed of the student. rad/s(b) Find the kinetic energy of the student before and after the objects are pulled in. before J after J
Conceptual Example 14 provides useful background for this problem. A playground carousel is free to rotate about its center on frictionless bearings, and air resistance is negligible. The carousel itself (without riders) has a moment of inertia of 125 kg-m². When one person is standing on the carousel at a distance of 1.50 m from the center, the carousel has an angular velocity of 0.600 rad/s. However, as this person moves inward to a point located 1.01 m from the center, the angular velocity increases to 0.800 rad/s. What is the person's mass? m = i
A carousel has a radius of 1.60 m and a moment of inertia of 130 kg · m2.A girl of mass 43.0 kg is standing at the edge of the carousel, which is rotating with an angular speed of 3.10 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 5.4 rad/s. How far from the center, in meters, did the girl stop?