The Guitar

By: Andres SanchezMs. Sullivan5-15-13

How?

Just like a speaker, the sound is created through vibrations inside the body of the guitar. The vibrations are created when playing a string, the string vibrates and transfers it on to the bridge. On the inside of the body, the vibrations make the air make that sound. But the smaller the string the more higher(Pitch) will sound. Just like the arp , the strings get and it sounds more high pitched, just like the guitar.

How?

What?

On present day, the guitar is one of the most famous stringed instrument on the world. Its easy to learn and really needs multi-task brain to play it good. Just like any instrument its been there for many generations since 1779 when it was created on its earliest form.

Who?

Nepolitan decent, Gaetano Vinaccia created the guitar on its early form on 1779. Later on 1850 Antonio de Torres Jurado created the present day acoustic guitar. After a while ,Les Paul, a guitar inovator experimented putting microphones on guitars. The first electrically amplified guitar was designed by George Beauchamp in 1936.

When?

Gaetano Vinnaccia born in 1759, and had a family that selled mandolins. Gaetano decided to “upgrade it” making an early version of our guitar. Antonio de Torres born in June, 13, 1817, in La Cañada, Almeria. George Beauchamp, who was born in March 18, 1899.

Year What

1779

1850

1936

Who What

Gaetano Vinaccia Created the early guitar.

Antonio de Torres Upgraded the guitar to present guitar.

George Beauchamp Created the first electric guitar.

Why does this relates to math?

Once you think about it, everything has math. Even the most basic thing has math, the guitar is a complex object mathematically. Every single shape, material, and even air, all affect the math of the guitar. Inside the body, there are complex shapes in it so there would be a better resonance on the sound. Every part in it has an important role. Basically its one of the most complex instruments that uses all this math.

Some equations to find relationships

Relationship between wavelenght & frequency:V=FW

V is the speed of wave. F is the frequency. W is the wavelenght.Relationship between speed and tension:

V=TMV (squared)is the speed of wave. T is the tension of the string. M is the mass density.

I play guitar too

BibliographyBooks: “Simply Guitar” by Steve Mackay.Encyclopedia: http://www.britannica.com/EBchecked/topic/120212/classical-guitarWebsite:http://www.ehow.com/facts_4743458_guitar-facts.htmlhttp://ezinearticles.com/?Guitar-Information&id=7521495