A turntable with a mass of 12 kg and a radius of 2 meters spins at a constant angular velocity of 140 rpm. A 500-gram scoop of uniformly-dense ice cream falls onto the turntable, so the scoop's center of mass is one meter away from the turntable's center. The scoop forms a hemisphere and has a radius of 4 cm. If there's no friction between the brick and ice cream scoop and they spin at the same angular speed, what is their final angular speed, in rev/min or in rad/s? Justify your answer with your rationale and equations used. Moments of Inertia: Idisk =MR? for rotation about its center of mass parallel to the z-axis. Inemisphere = MR for rotation about its center of mass parallel to the z-axis. Edit View Insert Format Tools Table
A turntable with a mass of 12 kg and a radius of 2 meters spins at a constant angular velocity of 140 rpm. A 500-gram scoop of uniformly-dense ice cream falls onto the turntable, so the scoop's center of mass is one meter away from the turntable's center. The scoop forms a hemisphere and has a radius of 4 cm. If there's no friction between the brick and ice cream scoop and they spin at the same angular speed, what is their final angular speed, in rev/min or in rad/s? Justify your answer with your rationale and equations used. Moments of Inertia: Idisk =MR? for rotation about its center of mass parallel to the z-axis. Inemisphere = MR for rotation about its center of mass parallel to the z-axis. Edit View Insert Format Tools Table
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)...
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![**Problem Statement:**
A turntable with a mass of 12 kg and a radius of 2 meters spins at a constant angular velocity of 140 rpm.
A 500-gram scoop of uniformly-dense ice cream falls onto the turntable, so the scoop's center of mass is one meter away from the turntable's center. The scoop forms a hemisphere and has a radius of 4 cm.
If there’s no friction between the brick and ice cream scoop and they spin at the same angular speed, what is their final angular speed, in rev/min or in rad/s? Justify your answer with your rationale and equations used.
**Moments of Inertia:**
- \( I_{\text{disk}} = \frac{1}{2} MR^2 \) for rotation about its center of mass parallel to the z-axis.
- \( I_{\text{hemisphere}} = \frac{2}{5} MR^2 \) for rotation about its center of mass parallel to the z-axis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e4fcbe0-ed74-4447-b38a-a2af13f9fabc%2Fb4932a4a-e5d0-4774-9e9f-729ae2b11f84%2Fwjaqmi9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
A turntable with a mass of 12 kg and a radius of 2 meters spins at a constant angular velocity of 140 rpm.
A 500-gram scoop of uniformly-dense ice cream falls onto the turntable, so the scoop's center of mass is one meter away from the turntable's center. The scoop forms a hemisphere and has a radius of 4 cm.
If there’s no friction between the brick and ice cream scoop and they spin at the same angular speed, what is their final angular speed, in rev/min or in rad/s? Justify your answer with your rationale and equations used.
**Moments of Inertia:**
- \( I_{\text{disk}} = \frac{1}{2} MR^2 \) for rotation about its center of mass parallel to the z-axis.
- \( I_{\text{hemisphere}} = \frac{2}{5} MR^2 \) for rotation about its center of mass parallel to the z-axis.
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