A baton twirler in a marching band complains that her baton is defective. The manufacturer specifies that the baton should have an overall length of L = 70.0 cm and a total mass between 960.0 and 970.0 g (there is one 365-g objects on each end). Also according to the manufacturer, the moment of inertia about the central axis passing through the baton should fall between 0.0900 and 0.0950 kg/m². The twirler (who has completed a class in physics) claims this is impossible. Þ What is the minimum mor of inertia? (Express your answer to three significant figures.) Submit Submit 2) What is the maximum moment of inertia? (Express your answer to three significant figures.) 3) Who's right? The twirler s correct. The manufacturer is correct. kg-m² Submit + kg-m² +

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 Context

A baton twirler in a marching band complains that her baton is defective. The manufacturer specifies that the baton should have an overall length of \( L = 70.0 \, \text{cm} \) and a total mass between 960.0 and 970.0 g (with one 365-g object on each end). According to the manufacturer, the moment of inertia about the central axis passing through the baton should fall between 0.0900 and 0.0950 kg·m\(^2\). The twirler, who has completed a class in physics, claims this is impossible.

#### Diagram Explanation
The diagram depicts a baton with two masses on either end, marked with a length \( L \) indicating the distance from one end to the other.

### Questions to Answer

1) **What is the minimum moment of inertia?**  
   (Express your answer to three significant figures.)

   - Input box for answer in kg·m².
   - Submit button.

2) **What is the maximum moment of inertia?**  
   (Express your answer to three significant figures.)

   - Input box for answer in kg·m².
   - Submit button.

3) **Who’s right?**

   - Options:
     - The twirler is correct.
     - The manufacturer is correct.
   - Submit button.
Transcribed Image Text:### Problem Context A baton twirler in a marching band complains that her baton is defective. The manufacturer specifies that the baton should have an overall length of \( L = 70.0 \, \text{cm} \) and a total mass between 960.0 and 970.0 g (with one 365-g object on each end). According to the manufacturer, the moment of inertia about the central axis passing through the baton should fall between 0.0900 and 0.0950 kg·m\(^2\). The twirler, who has completed a class in physics, claims this is impossible. #### Diagram Explanation The diagram depicts a baton with two masses on either end, marked with a length \( L \) indicating the distance from one end to the other. ### Questions to Answer 1) **What is the minimum moment of inertia?** (Express your answer to three significant figures.) - Input box for answer in kg·m². - Submit button. 2) **What is the maximum moment of inertia?** (Express your answer to three significant figures.) - Input box for answer in kg·m². - Submit button. 3) **Who’s right?** - Options: - The twirler is correct. - The manufacturer is correct. - Submit button.
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