Speed of Sound in Solids - Revision history

Claudiatiller7: /* Applications of Calculating Speed of Sounds in Solids */

2023-04-17T20:21:17Z

Applications of Calculating Speed of Sounds in Solids

← Older revision		Revision as of 16:21, 17 April 2023
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	<math> {V_{s}} = 2723</math> m/s		<math> {V_{s}} = 2723</math> m/s

	==~~Applications of Calculating Speed of Sounds in Solids~~==		==Connectedness==
	Computing the speed of sound in solids depends on a mass' interatomic properties, such as interatomic bond length. In this specific case, an object's elasticity depends on the interatomic bond length. There are many applications that connect to the ability to compute the speed of sounds.		Computing the speed of sound in solids depends on a mass' interatomic properties, such as interatomic bond length. In this specific case, an object's elasticity depends on the interatomic bond length. There are many applications that connect to the ability to compute the speed of sounds.

	In more specific fields such as in Industrial Engineering, these calculations could be applied to questions regarding how to build a soundproof area. It would therefore be optimal to select a solid with a low speed of sound velocity, with a solid that has tightly packed particles. There are many vast applications to this, as an object's ability to block or allow sound waves through it. However, some cases require contractors to build structures that allow sound to travel through. Material testing uses the calculation of sound in solids to determine mechanical properties of such materials. Engineers can then calculate the material's elasticity, stiffness, and other properties. Knowledge regarding how solids are structured and how they correlate with the speed of sounds in those solids are vital to building structures that meet the criteria.		Seismic and ultrasonic imaging are also fields that benefit greatly from the calculation of sound speeds in solids. Seismic imaging refers to capturing images of the subsurface structure of the Earth. Seismic waves can be generated by earthquakes or other sources. Engineers and scientists can then locate gas and oil reservoirs, monitor activity such as volcano eruptions, and geological formations. In ultrasonic imaging, ultrasonic waves can be sent through the body and have the time it takes to bounce back be measured. This then creates images of internal organs or tissues, used in cases such as prenatal imaging as well as medical diagnosing. In more specific fields such as in Industrial Engineering, these calculations could be applied to questions regarding how to build a soundproof area. It would therefore be optimal to select a solid with a low speed of sound velocity, with a solid that has tightly packed particles. There are many vast applications to this, as an object's ability to block or allow sound waves through it. However, some cases require contractors to build structures that allow sound to travel through. Material testing uses the calculation of sound in solids to determine mechanical properties of such materials. Engineers can then calculate the material's elasticity, stiffness, and other properties. Knowledge regarding how solids are structured and how they correlate with the speed of sounds in those solids are vital to building structures that meet the criteria.

	Seismic and ultrasonic imaging are also fields that benefit greatly from the calculation of sound speeds in solids. Seismic imaging refers to capturing images of the subsurface structure of the Earth. Seismic waves can be generated by earthquakes or other sources. Engineers and scientists can then locate gas and oil reservoirs, monitor activity such as volcano eruptions, and geological formations. In ultrasonic imaging, ultrasonic waves can be sent through the body and have the time it takes to bounce back be measured. This then creates images of internal organs or tissues, used in cases such as prenatal imaging as well as medical diagnosing.

	Overall, being able to calculate the speed of sounds in solids has a wide range of applications in engineering, medicine, and science.		Overall, being able to calculate the speed of sounds in solids has a wide range of applications in engineering, medicine, and science.

Claudiatiller7: /* Connectedness */

2023-04-17T20:07:04Z

Connectedness

← Older revision		Revision as of 16:07, 17 April 2023
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	<math> {V_{s}} = 2723</math> m/s		<math> {V_{s}} = 2723</math> m/s

	==~~Connectedness~~==		==Applications of Calculating Speed of Sounds in Solids==
	Computing the speed of sound in solids depends on a mass' interatomic properties, such as interatomic bond length. In this specific case, an object's elasticity depends on the interatomic bond length. There are many applications that connect to the ability to compute the speed of sounds.		Computing the speed of sound in solids depends on a mass' interatomic properties, such as interatomic bond length. In this specific case, an object's elasticity depends on the interatomic bond length. There are many applications that connect to the ability to compute the speed of sounds.

	In more specific fields such as in Industrial Engineering, these calculations could be applied to questions regarding how to build a soundproof area. It would therefore be optimal to select a solid with a low speed of sound velocity, with a solid that has tightly packed particles. There are many vast applications to this, as an object's ability to block or allow sound waves through it. However, some cases require contractors to build structures that allow sound to travel through. Knowledge regarding how solids are structured and how they correlate with the speed of sounds in those solids are vital to building structures that meet the criteria.		In more specific fields such as in Industrial Engineering, these calculations could be applied to questions regarding how to build a soundproof area. It would therefore be optimal to select a solid with a low speed of sound velocity, with a solid that has tightly packed particles. There are many vast applications to this, as an object's ability to block or allow sound waves through it. However, some cases require contractors to build structures that allow sound to travel through. Material testing uses the calculation of sound in solids to determine mechanical properties of such materials. Engineers can then calculate the material's elasticity, stiffness, and other properties. Knowledge regarding how solids are structured and how they correlate with the speed of sounds in those solids are vital to building structures that meet the criteria.

			Seismic and ultrasonic imaging are also fields that benefit greatly from the calculation of sound speeds in solids. Seismic imaging refers to capturing images of the subsurface structure of the Earth. Seismic waves can be generated by earthquakes or other sources. Engineers and scientists can then locate gas and oil reservoirs, monitor activity such as volcano eruptions, and geological formations. In ultrasonic imaging, ultrasonic waves can be sent through the body and have the time it takes to bounce back be measured. This then creates images of internal organs or tissues, used in cases such as prenatal imaging as well as medical diagnosing.

			Overall, being able to calculate the speed of sounds in solids has a wide range of applications in engineering, medicine, and science.

	==History==		==History==

Claudiatiller7: /* The Structure of Solids and Sound */

2023-04-17T02:40:33Z

The Structure of Solids and Sound

← Older revision		Revision as of 22:40, 16 April 2023
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	Factors that control the speed that sound travels in solids is measured by the solid's density and elasticity, as they affect the vibrational energy of the sound. Overall, the way the solid is composed determines the sound's speed limit through that solid.		Factors that control the speed that sound travels in solids is measured by the solid's density and elasticity, as they affect the vibrational energy of the sound. Overall, the way the solid is composed determines the sound's speed limit through that solid.

	==The Structure of Solids and Sound==		==The Structure of Solids and Effects on Sound Travel==
	Mediums are composed of particles that can be closely knit together or spread apart. Solids are characterized by an arrangement of atoms, ions, or molecules, where these components are generally locked in their positions. The particles can also be defined as elastic or inelastic. Particles that are closer to each other allow sound to be transferred quicker through the medium. Since particles that are compressed closer together allow sound to travel faster, it can be reasoned that sound travels slower in air.		Mediums are composed of particles that can be closely knit together or spread apart. Solids are characterized by an arrangement of atoms, ions, or molecules, where these components are generally locked in their positions. The particles can also be defined as elastic or inelastic. Particles that are closer to each other allow sound to be transferred quicker through the medium. Since particles that are compressed closer together allow sound to travel faster, it can be reasoned that sound travels slower in air.

Claudiatiller7: /* Connectedness */

2023-04-17T02:33:21Z

Connectedness

← Older revision		Revision as of 22:33, 16 April 2023
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	==Connectedness==		==Connectedness==
	~~The computation of~~ speed of sound in solids ~~is dependent~~ on a mass' interatomic properties, such as interatomic bond length. ~~I find it interesting when a~~ object's ~~interatomic properties determine its functionality on a larger scale. In the case of speed of sound in solids, the objects~~ elasticity depends on the interatomic bond length.		Computing the speed of sound in solids depends on a mass' interatomic properties, such as interatomic bond length. In this specific case, an object's elasticity depends on the interatomic bond length. There are many applications that connect to the ability to compute the speed of sounds.

	~~While the computation of speed of sound~~ in ~~solids may not seem related to~~ Industrial Engineering, ~~it has clear implications in the process of choosing building materials, which is a notable section of industrial engineering. For example, if you are planning~~ to build ~~something~~ soundproof~~, it~~ would be optimal to ~~choose~~ a solid with a ~~very~~ low speed of sound velocity.		In more specific fields such as in Industrial Engineering, these calculations could be applied to questions regarding how to build a soundproof area. It would therefore be optimal to select a solid with a low speed of sound velocity, with a solid that has tightly packed particles. There are many vast applications to this, as an object's ability to block or allow sound waves through it. However, some cases require contractors to build structures that allow sound to travel through. Knowledge regarding how solids are structured and how they correlate with the speed of sounds in those solids are vital to building structures that meet the criteria.

	~~The industrial applications in terms of construction~~ are vast~~. An objects~~ ability to block/allow sound waves through it ~~is very important. Of course, insulation materials and sound proof wall materials come to thought at first~~. However, in some cases, contractors ~~need~~ to build structures that allow sound to travel through~~, in which~~ they ~~would choose solid materials that~~ correlate with ~~high speeds~~ of ~~sound~~.

	==History==		==History==

Claudiatiller7: /* The Structure of Solids and Sound */

2023-04-17T02:09:41Z

The Structure of Solids and Sound

← Older revision		Revision as of 22:09, 16 April 2023
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	With an increase in density, the space between particles in the solid decreases. The smaller distance between particles, or interatomic distance, the higher the speed. With an increase in elasticity of the atoms that make up the object, the lower the speed of sound in the object. Particles that have a high elasticity take more time to return to their place once they received vibrational energy. However, if the solid is completely inelastic then the sound cannot travel through it.		With an increase in density, the space between particles in the solid decreases. The smaller distance between particles, or interatomic distance, the higher the speed. With an increase in elasticity of the atoms that make up the object, the lower the speed of sound in the object. Particles that have a high elasticity take more time to return to their place once they received vibrational energy. However, if the solid is completely inelastic then the sound cannot travel through it.

	The practicality of this concept is ~~great~~. ~~Everyday humans' ears capture~~ sound waves through ~~the Pinna:~~ the outer cartilage ~~piece~~ of the ear. The sound waves then travel up the ear canal and ~~hit~~ the ear drum, which vibrates from the sound. ~~The vibrations travel~~ through the inner ear ~~and end up~~ at the Cochlea. The Cochlea transfers the vibrations into information that ~~the~~ auditory ~~nerve~~ can analyze. This process occurs everyday and without proper education of sound traveling through solids, such as the ear's different pieces, humans wouldn't be able to completely understand the concept completely.		The practicality of this concept is highly applicable. The human ear captures sound waves through the outer cartilage of the ear, called the Pinna. The sound waves then travel up the ear canal and arrive at the ear drum which vibrates from the sound waves. After traveling through the inner ear, the vibrations arrive at the Cochlea. The Cochlea transfers the vibrations into information that auditory nerves can analyze.






	===A Mathematical Model===		===A Mathematical Model===

Claudiatiller7: /* The Structure of Solids and Sound */

2023-04-17T02:00:54Z

The Structure of Solids and Sound

← Older revision		Revision as of 22:00, 16 April 2023
Line 14:		Line 14:
	With an increase in density, the space between particles in the solid decreases. The smaller distance between particles, or interatomic distance, the higher the speed. With an increase in elasticity of the atoms that make up the object, the lower the speed of sound in the object. Particles that have a high elasticity take more time to return to their place once they received vibrational energy. However, if the solid is completely inelastic then the sound cannot travel through it.		With an increase in density, the space between particles in the solid decreases. The smaller distance between particles, or interatomic distance, the higher the speed. With an increase in elasticity of the atoms that make up the object, the lower the speed of sound in the object. Particles that have a high elasticity take more time to return to their place once they received vibrational energy. However, if the solid is completely inelastic then the sound cannot travel through it.

	The practicality of this concept is great. Everyday humans' ears capture sound waves through the Pinna~~, [[File~~:~~Blausen_0330_EarAnatomy_MiddleEar.png\|thumb\|border\|right\|baseline\|The inner ear.]]or~~ the outer cartilage piece of the ear. The sound waves then travel up the ear canal and hit the ear drum, which vibrates from the sound. The vibrations travel through the inner ear and end up at the Cochlea. The Cochlea transfers the vibrations into information that the auditory nerve can analyze. This process occurs everyday and without proper education of sound traveling through solids, such as the ear's different pieces, humans wouldn't be able to completely understand the concept completely.		The practicality of this concept is great. Everyday humans' ears capture sound waves through the Pinna: the outer cartilage piece of the ear. The sound waves then travel up the ear canal and hit the ear drum, which vibrates from the sound. The vibrations travel through the inner ear and end up at the Cochlea. The Cochlea transfers the vibrations into information that the auditory nerve can analyze. This process occurs everyday and without proper education of sound traveling through solids, such as the ear's different pieces, humans wouldn't be able to completely understand the concept completely.

Claudiatiller7: /* The Structure of Solids and Sound */

2023-04-17T01:58:00Z

The Structure of Solids and Sound

← Older revision		Revision as of 21:58, 16 April 2023
Line 10:		Line 10:

	==The Structure of Solids and Sound==		==The Structure of Solids and Sound==

	Mediums are composed of particles that can be closely knit together or spread apart. Solids are characterized by an arrangement of atoms, ions, or molecules, where these components are generally locked in their positions. The particles can also be defined as elastic or inelastic. Particles that are closer to each other allow sound to be transferred quicker through the medium. Since particles that are compressed closer together allow sound to travel faster, it can be reasoned that sound travels slower in air.		Mediums are composed of particles that can be closely knit together or spread apart. Solids are characterized by an arrangement of atoms, ions, or molecules, where these components are generally locked in their positions. The particles can also be defined as elastic or inelastic. Particles that are closer to each other allow sound to be transferred quicker through the medium. Since particles that are compressed closer together allow sound to travel faster, it can be reasoned that sound travels slower in air.


	With an increase in density, the space between particles in the solid decreases. The smaller distance between particles, or interatomic distance, the higher the speed. With an increase in elasticity of the atoms that make up the object, the lower the speed of sound in the object. Particles that have a high elasticity take more time to return to their place once they received vibrational energy. However, if the solid is completely inelastic then the sound cannot travel through it.		With an increase in density, the space between particles in the solid decreases. The smaller distance between particles, or interatomic distance, the higher the speed. With an increase in elasticity of the atoms that make up the object, the lower the speed of sound in the object. Particles that have a high elasticity take more time to return to their place once they received vibrational energy. However, if the solid is completely inelastic then the sound cannot travel through it.


	The practicality of this concept is great. Everyday humans' ears capture sound waves through the Pinna, [[File:Blausen_0330_EarAnatomy_MiddleEar.png\|thumb\|border\|right\|baseline\|The inner ear.]]or the outer cartilage piece of the ear. The sound waves then travel up the ear canal and hit the ear drum, which vibrates from the sound. The vibrations travel through the inner ear and end up at the Cochlea. The Cochlea transfers the vibrations into information that the auditory nerve can analyze. This process occurs everyday and without proper education of sound traveling through solids, such as the ear's different pieces, humans wouldn't be able to completely understand the concept completely.		The practicality of this concept is great. Everyday humans' ears capture sound waves through the Pinna, [[File:Blausen_0330_EarAnatomy_MiddleEar.png\|thumb\|border\|right\|baseline\|The inner ear.]]or the outer cartilage piece of the ear. The sound waves then travel up the ear canal and hit the ear drum, which vibrates from the sound. The vibrations travel through the inner ear and end up at the Cochlea. The Cochlea transfers the vibrations into information that the auditory nerve can analyze. This process occurs everyday and without proper education of sound traveling through solids, such as the ear's different pieces, humans wouldn't be able to completely understand the concept completely.

Claudiatiller7 at 01:57, 17 April 2023

2023-04-17T01:57:33Z

← Older revision		Revision as of 21:57, 16 April 2023
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	Claudia Tiller, Spring 2023		Claudia Tiller, Spring 2023

	This page discusses ~~calculating~~ the speed of sound in various solids and ~~provides~~ examples of such calculations.		This page discusses the speed of sound in various solids, how to calculate them, and examples of such calculations.

			==The Main Idea==

			The speed of sound can be defines as the distance travelled per a unit of time by a sound wave as it travels through an elastic medium. Elasticity refers to the ability of a body to resist distorting influence and return to its original shape when that influence is removed.

			Factors that control the speed that sound travels in solids is measured by the solid's density and elasticity, as they affect the vibrational energy of the sound. Overall, the way the solid is composed determines the sound's speed limit through that solid.

	==The ~~Main Idea~~==		==The Structure of Solids and Sound==

	~~The speed of sound is the speed that sound waves travel through a particular medium. The medium determines the speed limit. [[File:2743324.png\|right\|border]]~~Mediums are composed of particles that ~~could~~ be closely knit together or ~~relatively~~ spread apart. ~~Also~~, these particles ~~could act~~ elastic or inelastic. ~~The~~ closer ~~together the particles are~~ to each other ~~the faster the~~ sound ~~can~~ be transferred through the medium. ~~In comparison~~ to ~~air~~, ~~sound travels considerably faster in solids. The factors that control the speed~~ that sound travels in ~~various solids is measured by the solid's density and elasticity, as these factors effect the vibrational energy of the sound~~.		Mediums are composed of particles that can be closely knit together or spread apart. Solids are characterized by an arrangement of atoms, ions, or molecules, where these components are generally locked in their positions. The particles can also be defined as elastic or inelastic. Particles that are closer to each other allow sound to be transferred quicker through the medium. Since particles that are compressed closer together allow sound to travel faster, it can be reasoned that sound travels slower in air.

Claudiatiller7 at 01:12, 17 April 2023

2023-04-17T01:12:41Z

← Older revision		Revision as of 21:12, 16 April 2023
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			Claudia Tiller, Spring 2023

	This page discusses calculating the speed of sound in various solids and provides examples of such calculations.		This page discusses calculating the speed of sound in various solids and provides examples of such calculations.

Bbreer6: /* Numerical Example */

2019-06-01T20:40:41Z

Numerical Example

← Older revision		Revision as of 16:40, 1 June 2019
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	Now, we have solved for both interatomic bond length and stiffness. The only quantity in the final speed of sound equation we need is the mass of one atom, which can be determined using Avogardro's number and the atomic mass. <math> m_{atom} = </math> ''atomic mass'' / <math> 6.022e23 </math>		Now, we have solved for both interatomic bond length and stiffness. The only quantity in the final speed of sound equation we need is the mass of one atom, which can be determined using Avogardro's number and the atomic mass. <math> m_{atom} = </math> ''atomic mass'' / <math> 6.022e23 </math>

	Now that all variables are solved for, we can substitute values into our <math> {V_{s}} = d* √ (K_{s}/m_{atom}) </math> equation.		Now that all variables are solved for, we can substitute values into our <math> {V_{s}} = d \cdot \sqrt{\frac{K_{s}}{m_{atom}}} </math> equation.

	<math> {V_{s}} = 1.6e-10* √ (78534.7/1.~~79e~~-22) </math>		<math> {V_{s}} = 1.6 \cdot 10^{-10} \cdot \sqrt{ \frac{78534.7}{1.79 \cdot 10^{-22}}} </math>

	<math> {V_{s}} = 2723</math> m/s		<math> {V_{s}} = 2723</math> m/s