### Problem StatementA dancer is spinning at 72 rpm about an axis through her center with her arms outstretched, as shown in **Figure 1**. From biomedical measurements, the typical distribution of mass in a human body is as follows:- **Head**: 7.0%- **Arms**: 13% (for both)- **Trunk and legs**: 80.0%Suppose the mass of the dancer is 55.5 kg, the diameter of her head is 16 cm, the width of her body is 24 cm, and the length of her arms is 60 cm.#### Part ACalculate the moment of inertia about the dancer's spin axis. Express your answer with the appropriate units.#### Part BCalculate the dancer's rotational kinetic energy. Express your answer with the appropriate units.### Figure Illustration**Figure 1**: The figure depicts a dancer spinning with her arms outstretched. An axis of rotation is indicated through her center.### Solution Steps1. **Calculating Moment of Inertia**: - Break down the dancer's body into individual components (head, arms, trunk, and legs). - Use the given mass distribution percentages to determine the mass of each component. - Calculate the moment of inertia for each part and sum them up to find the total moment of inertia. 2. **Calculating Rotational Kinetic Energy**: - First, convert the angular velocity from rpm to rad/s. - Use the total moment of inertia derived from Part A. - Apply the rotational kinetic energy formula: \[ K = \frac{1}{2} I \omega^2 \]These calculations will help understand the dynamics of rotational motion in the context of human movement.

Given: The dancer is spinning at 72 rpm about her axis of rotation. The mass (m) of the dancer is…

A dancer is spinning at 72 rpm about an axis through her center with her arms outstretched, as shown in (Figure 1). From biomedical measurements, the typical distribution of mass in a human body is as follows: Part A Head: 7.0% Arms: 13% (for both) Trunk and legs: 80.0% Calculate moment of inertia about the dancer's spin axis. Express your answer with the appropriate units. Suppose the mass of the dancer is 55.5 kg, the diameter of her head is 16 cm, the width of her body is 24 cm, and the length of her arms is 60 cm. HA I = Value Units Submit Request Answer • Part B Figure 1 of 1> Calculate dancer's rotational kinetic energy. Express your answer with the appropriate units. HA K = Value Units Submit Request Answer < Return to Assignment Provide Feedback

A dancer is spinning at 72 rpm about an axis through her center with her arms outstretched, as shown in (Figure 1). From biomedical measurements, the typical distribution of mass in a human body is as follows: Part A Head: 7.0% Arms: 13% (for both) Trunk and legs: 80.0% Calculate moment of inertia about the dancer's spin axis. Express your answer with the appropriate units. Suppose the mass of the dancer is 55.5 kg, the diameter of her head is 16 cm, the width of her body is 24 cm, and the length of her arms is 60 cm. HA I = Value Units Submit Request Answer • Part B Figure 1 of 1> Calculate dancer's rotational kinetic energy. Express your answer with the appropriate units. HA K = Value Units Submit Request Answer < Return to Assignment Provide Feedback

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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