How is frequency affected by length

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No notes for slide. Effect of Tension, Length of String on Frequency 1. Good Afternoon! How did you increase tension in the investigation?

A musician adjusts the string tension by turning the peg. Total views 33, On Slideshare 0. From embeds 0. Number of embeds Downloads 0.

Shares 0. Comments 0. Likes 2. For a trombone, the length is altered by pushing the tube outward away from the mouthpiece to lengthen it or pulling it in to shorten it. This causes the length of the air column to be changed, and subsequently changes the wavelength of the waves it produces. And of course, a change in wavelength will result in a change in the frequency.

So the natural frequency of a wind instrument such as the trombone is dependent upon the length of the air column of the instrument. The same principles can be applied to any similar instrument tuba, flute, wind chime, organ pipe, clarinet, or pop bottle whose sound is produced by vibrations of air within a tube. There were a variety of classroom demonstrations some of which are fun and some of which are corny that illustrate the idea of natural frequencies and their modification.

A pop bottle can be partly filled with water, leaving a volume of air inside that is capable of vibrating. When a person blows over the top of the bottle, the air inside is set into vibrational motion; turbulence above the lip of the bottle creates disturbances within the bottle. These vibrations result in a sound wave that is audible to students. Of course, the frequency can be modified by altering the volume of the air column adding or removing water , which changes the wavelength and in turn the frequency.

The principle is similar to the frequency-wavelength relation of air columns; a smaller volume of air inside the bottle means a shorter wavelength and a higher frequency. A toilet paper roll orchestra can be created from different lengths of toilet paper rolls or wrapping paper rolls. The rolls will vibrate with different frequencies when struck against a student's head. A properly selected set of rolls will result in the production of sounds that are capable of a Tony Award rendition of "Mary Had a Little Lamb.

Maybe you are familiar with the popular water goblet prom trick that is often demonstrated in a Physics class. Obtain a water goblet and clean your fingers. Then gently slide your finger over the rim of the water goblet. If you are fortunate enough, you might be able to set the goblet into vibration by means of slip-stick friction.

It is not necessary to use a crystal goblet. It is often said that crystal goblets work better; but the trick is just as easily performed with clean fingers and an inexpensive goblet. Like a violin bowstring being pulled across a violin string, the finger sticks to the glass molecules, pulling them apart at a given point until the tension becomes so great.

The finger then slips off the glass and subsequently finds another microscopic surface to stick to; the finger pulls the molecules at that surface, slips and then sticks at another location.

This process of stick-slip friction occurring at a high frequency is sufficient to set the molecules of the glass into vibration at its natural frequency. The result is enough to impress your dinner guests. Try it at home!!

The above answer is correct. The speed is not dependent on the length. But it will take longer, because it is traveling a longer distance. The frequency needed to produce a resonant standing wave on a string fixed at the far end will depend on the length of the string. You will need an integer number of anti-nodes in the pattern. A standing wave doesn't necessarily travel with less frequency on a longer string, as the string tension and string density affect wave speed, as stated by AFG with the formula:.

The velocity of waves on the string is also given by a second well known formula:. For standing waves to exist on a string, the length of the string must be an integral multiple of half wavelengths, given by the formula:. Substituting equation 5 into equation 4 yields a frequency equation that depends on string length, string tension, and string linear density:.

Then you won't mind to untangle the cable, since it would connect anyhow. But if the same USB cable needs to connect a cell phone which is much further from wall, then u would think of stretching or minimizing coiling of cable, so that it could compensate to reach longer distance.

Since the cable length is limited, similar to limited energy provided to vibrate a string. So the string compensates energy by lowering frequency to reach longer distance. Sign up to join this community. The best answers are voted up and rise to the top. Stack Overflow for Teams — Collaborate and share knowledge with a private group.