# Physics

posted by .

On a string instrument of the violin family, the effective length of a string is the distance between the bridge and the nut. For a violin, this distance is 29.3 cm, while for a cello it is 37.8 cm.

The string of a violin is placed in a cello with the intention of producing a sound of the same fundamental frequency.

To accomplish this, the string on the cello will be under a larger tension than on the violin.

By how much should the tension in the cello be increased with respect to the tension in the violin?

Express the result as a percentage, and to two significant figures. Only answer in numerical values, without the % sign.

For example, an increase of 11% corresponds to Tcello = (1.11) Tviolin, and should be entered as 11 in the answer box.

• Physics -

You want the answer in a box? Without the % sign?

Do you want fries with that?

• Physics -

If you want to learn the subject and not just fill in the blanks to get some meaningless degree, use the fact that the frequency is proportional to
(wave speed)/(string length)

To keep the frequency the same, the wave speed must increase by a factor 37.8/29.3 = 1.2901

The string lineal density remains the same, since it is the same string. Take a look at the formula for wave speed in a string under tension. If you don't know it, look it up.

It says that you have to increase Tension so than sqrt(tension) is increased by a factor 1.2901

Take it from there

## Similar Questions

1. ### Physics Problem

The portion of string between the bridge and upper end of the fingerboard (the part of the string that is free to vibrate) of a certain musical instrument is 60.0 cm long [.6m] and has a mass of 2.23 g [.00223kg]. The string sounds …
2. ### Physics

The portion of string between the bridge and upper end of the fingerboard (the part of the string that is free to vibrate) of a certain musical instrument is 60.0 cm long [.6m] and has a mass of 2.23 g [.00223kg]. The string sounds …
3. ### Physics

The A string of a violin is 31 cm long between fixed points with a fundamental frequency of 440 Hz and a mass per unit length of 5.8×10^−4 kg/m. What are the wave speed in the string?
4. ### Physics

A violin has an open string length (bridge to nut) of L=32.7 cm. At what distance x from the bridge does a violinist have to place his finger on the fingerboard to play a C (523.3 Hz) on the A string (fundamental frequency 440 Hz)?
5. ### physics

On a string instrument of the violin family, the effective length of a string is the distance between the bridge and the nut. For a violin, this distance is 31.1 cm, while for a cello it is 38.8 cm. The string of a violin is placed …
6. ### physics

On a string instrument of the violin family, the effective length of a string is the distance between the bridge and the nut. For a violin, this distance is 30 cm, while for a cello it is 36.6 cm. The string of a violin is placed in …
7. ### science 202

I take a violin and make an exact copy of it, except that it is bigger. The strings are identical except for the length; they have the same material and the same tension. If the new violin is 2.30 times the size of the original, at …
8. ### science of sound

a violin string’s length from nut to bridge is 33 cm, and on the open string A=440 Hz is played. What is the wavelength of the sound?
9. ### Physicz

A violin string is 33cm long. The thinnest string on the violin is tuned to vibrate at a frequency of 659Hz. (a) What is the wave velocity in the string?
10. ### Physics

You’ve purchased two identical violin strings. You install one of the strings in a conventional violin; the other string you stretch between two posts, each attached to rigid concrete pillar in the open air. Both strings are made …

More Similar Questions