A bull-roarer is a piece of wood that produces a roaring sound when attached to the end of a string and whirled around in a circle. Determine the magnitude of the normal acceleration of a bull-roarer when it is spun in a circle of radius 0.9 m at a speed of 20 m/s. 0.9 m
A bull-roarer is a piece of wood that produces a roaring sound when attached to the end of a string and whirled around in a circle. Determine the magnitude of the normal acceleration of a bull-roarer when it is spun in a circle of radius 0.9 m at a speed of 20 m/s. 0.9 m
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![**Problem 11.135**
A bull-roarer is a piece of wood that produces a roaring sound when attached to the end of a string and whirled around in a circle. Determine the magnitude of the normal acceleration of a bull-roarer when it is spun in a circle of radius 0.9 m at a speed of 20 m/s.
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**Diagram Description:**
The diagram shows a person swinging a bull-roarer in a horizontal circular motion. The circle's radius is labeled as 0.9 meters. The velocity of the bull-roarer, denoted as \( v_0 \), is shown as an arrow pointing tangentially to the circle, indicating the direction of the motion.
---
**Explanation:**
To find the normal acceleration (\( a_n \)) of the bull-roarer, you can use the formula for centripetal acceleration:
\[ a_n = \frac{v^2}{r} \]
Where:
- \( v \) is the tangential speed (20 m/s)
- \( r \) is the radius of the circle (0.9 m)
Plug in the given values to calculate the normal acceleration.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1941a39f-dbc9-477a-8528-f1bffe3dd4bc%2F50f63b0b-5ff8-485d-918b-c8d809da10d7%2F88as1os_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 11.135**
A bull-roarer is a piece of wood that produces a roaring sound when attached to the end of a string and whirled around in a circle. Determine the magnitude of the normal acceleration of a bull-roarer when it is spun in a circle of radius 0.9 m at a speed of 20 m/s.
---
**Diagram Description:**
The diagram shows a person swinging a bull-roarer in a horizontal circular motion. The circle's radius is labeled as 0.9 meters. The velocity of the bull-roarer, denoted as \( v_0 \), is shown as an arrow pointing tangentially to the circle, indicating the direction of the motion.
---
**Explanation:**
To find the normal acceleration (\( a_n \)) of the bull-roarer, you can use the formula for centripetal acceleration:
\[ a_n = \frac{v^2}{r} \]
Where:
- \( v \) is the tangential speed (20 m/s)
- \( r \) is the radius of the circle (0.9 m)
Plug in the given values to calculate the normal acceleration.
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