A yo-yo (m=0.0760 kg) with a rolling radius of -2.70 cm rolls down a string with a linear acceleration of 6.53 m/s² (the figure below). @ Calculate the tension in the string. (Express your answer to three significant figures.) Submit 2) Calculate the angular acceleration of the yo-yo. (Express your answer to three significant figures.) Submit N Submit rad/s² 3) What is the moment of inertia of this yo-yo? (Express your answer to three significant figures.) kg-m²
A yo-yo (m=0.0760 kg) with a rolling radius of -2.70 cm rolls down a string with a linear acceleration of 6.53 m/s² (the figure below). @ Calculate the tension in the string. (Express your answer to three significant figures.) Submit 2) Calculate the angular acceleration of the yo-yo. (Express your answer to three significant figures.) Submit N Submit rad/s² 3) What is the moment of inertia of this yo-yo? (Express your answer to three significant figures.) 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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Question
![**Title: Yo-Yo Dynamics Problem**
**Problem Statement:**
A yo-yo, with a mass (\(m\)) of 0.0760 kg and a rolling radius (\(r\)) of 2.70 cm, rolls down a string with a linear acceleration of 6.53 m/s\(^2\). See the figure below.
**Figure Explanation:**
The diagram shows a side view of the yo-yo. The yo-yo is rotating counterclockwise about its central axis, indicated by the angular velocity symbol (\(\omega\)). There is also a string attached to the yo-yo from above, showing the tension present in the system as it descends.
**Tasks:**
1) **Calculate the tension in the string.**
(Express your answer to three significant figures.)
**Input Box:** [____] N
**Submit Button**
2) **Calculate the angular acceleration of the yo-yo.**
(Express your answer to three significant figures.)
**Input Box:** [____] rad/s\(^2\)
**Submit Button**
3) **What is the moment of inertia of this yo-yo?**
(Express your answer to three significant figures.)
**Input Box:** [____] kg \(\cdot\) m\(^2\)
**Submit Button**
**End of Problem Statement**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe649e1d0-9648-4d6d-9732-db86f062ac2b%2Fcb1389ba-8cfc-47dc-be45-5f9a3e279920%2Fv2a854u_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Yo-Yo Dynamics Problem**
**Problem Statement:**
A yo-yo, with a mass (\(m\)) of 0.0760 kg and a rolling radius (\(r\)) of 2.70 cm, rolls down a string with a linear acceleration of 6.53 m/s\(^2\). See the figure below.
**Figure Explanation:**
The diagram shows a side view of the yo-yo. The yo-yo is rotating counterclockwise about its central axis, indicated by the angular velocity symbol (\(\omega\)). There is also a string attached to the yo-yo from above, showing the tension present in the system as it descends.
**Tasks:**
1) **Calculate the tension in the string.**
(Express your answer to three significant figures.)
**Input Box:** [____] N
**Submit Button**
2) **Calculate the angular acceleration of the yo-yo.**
(Express your answer to three significant figures.)
**Input Box:** [____] rad/s\(^2\)
**Submit Button**
3) **What is the moment of inertia of this yo-yo?**
(Express your answer to three significant figures.)
**Input Box:** [____] kg \(\cdot\) m\(^2\)
**Submit Button**
**End of Problem Statement**
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