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When two pieces of string are stretched to the same tension, they can form a right triangle if they are arranged at angles to each other. Using Pythagoras' theorem, the resultant tension in a direction can be calculated by treating the two tensions as perpendicular vectors. The formula ( R = \sqrt{T_1^2 + T_2^2} ) can be applied, where ( T_1 ) and ( T_2 ) are the tensions in the strings. This allows for the determination of the overall tension and direction of the combined forces acting on the system.
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Using two pieces of string stretched to same tension Pythagoras discovered the ratio for creating perfect octave was?
Pythagoras discovered that the ratio for creating a perfect octave is 2:1, meaning that when the length of one string is half that of another, the higher pitch produced corresponds to an octave above the lower pitch. This finding highlighted the mathematical relationship between string length and frequency, illustrating how tension and vibration contribute to musical harmony. Thus, when two strings are stretched to the same tension, their lengths determine the musical intervals they create.
Using two pieces of string strectched to the same tension phytogaras discovered the ratio for creating interval of a perfect octave was?
Pythagoras discovered that the ratio for creating an interval of a perfect octave is 2:1. This means that when one string vibrates at a frequency of a certain pitch, the string that is an octave higher vibrates at double that frequency. By using two strings of the same tension and varying their lengths, he found that shortening the string to half its length produces this harmonious interval. This principle laid the foundation for understanding musical harmony and the mathematical relationships between musical notes.
What did Pythagoras have to do with music?
Pythagoras discovered the properties of string length, and that certain ratios of string length are more pleasing to the human ear. The ration is 3:2.
What Pythagoras discovered by stretching out two strings that to create the interval of a you need to play the second string using a ratio of 34.?
Pythagoras discovered that when two strings are stretched to create musical intervals, their lengths must be in specific ratios to produce harmonious sounds. For a perfect fifth interval, the ratio of the lengths of the two strings should be 3:2. This means if one string is of length 3 units, the second string should be of length 2 units to create the interval. Thus, he linked mathematics and music, highlighting the relationship between numerical ratios and musical harmony.
How many pieces of string each 30cm long can be cut from a piece of string 4 cm long?
13
Using two pieces of string stretched to the same tension Pythagoras discovered the ratio for creating the interval of a perfect octave was?
2:1
Using two pieces of string stretched to same tension Pythagoras discovered the ratio for creating perfect octave was?
Pythagoras discovered that the ratio for creating a perfect octave is 2:1, meaning that when the length of one string is half that of another, the higher pitch produced corresponds to an octave above the lower pitch. This finding highlighted the mathematical relationship between string length and frequency, illustrating how tension and vibration contribute to musical harmony. Thus, when two strings are stretched to the same tension, their lengths determine the musical intervals they create.
What would increase if a metal string is stretched horizontally?
The tension in the string would increase as it is being stretched, causing the string to become tighter. The frequency at which the string vibrates would also increase, resulting in a higher pitch when plucked.
Using two pieces of string stressed to the same tension Pythagoras discovered the ratio interval of a perfect octave was?
He discovered the ratio interval of a perfect octave is 2:1.
What affect the speed of sound in a stretched string?
The velocity, v, of a wave in a taut string is dependant on the tension in the string, T, and the mass distribution (or mass per length ratio), μ.v2 = T/μ
Does a string with tension have energy if yes what kind?
A string under tension has potential energy, which will be liberated as kinetic energy should the string break or be released.
What is the force tension?
Force tension is the force experienced by an object when it is pulled or stretched. It is a type of force that occurs in a rope, cable, or any object that is being stretched or pulled. The magnitude of tension is equal to the force applied to stretch or pull the object.
Why The tension in any part of the string is equal to the force that pulls the string at the ends?
unless the string is broken up,the force of pulling will be applied along the continuous part of the string when the string is in full stretched condition.
What is the principle used in sonometer?
The principle used in a sonometer is to study the vibrations of a stretched string. By adjusting the tension and length of the string, different frequencies can be produced and resonances can be observed. This helps in understanding the relationship between tension, length, and frequency of the vibrating string.
What is stretched between two points to produce sound in string instruments?
In string instruments, a string is stretched between two points, typically anchored at the bridge and the nut. When the string is plucked, bowed, or struck, it vibrates, producing sound waves. The tension, length, and mass of the string affect the pitch and tone of the sound produced. These vibrations are then transmitted to the instrument's body, amplifying the sound.
What force is on guitar strings?
I assume you mean tension. tension is a stretching force in am object (e.g. string). If you dangle a yoyo from your hand the string is being stretched by the weight of the yoyo. If the weight of the yoyo = 1N then the tension = 1N.
What are the forces exerted on a yoyo hanging motionless on a string?
The forces exerted on a yoyo hanging motionless on a string are gravity acting downward and tension in the string acting upward. These forces are balanced, resulting in a state of equilibrium where the yoyo remains stationary.
