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.
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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. 

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**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.
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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