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If the tension in the string is doubled what will be the effect on the speed of standing waves in the string?
Wiki User
∙ 15y ago
The speed of the standing waves in a string will increase by about 1.414 (the square root of 2 to be more precise) if the tension on the string is doubled. The speed of propagation of the wave in the string is equal to the square root of the tension of the string divided by the linear mass of the string. That's the tension of the string divided by the linear mass of the string, and then the square root of that. If tension doubles, then the tension of the string divided by the linear mass of the string will double. The speed of the waves in the newly tensioned string will be the square root of twice what the tension divided by the linear mass was before. This will mean that the square root of two will be the amount the speed of the wave through the string increases compared to what it was. The square root of two is about 1.414 or so.
Wiki User
∙ 15y ago
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What multiplicative factor would you increase tension if you double the speed of a wave on a string?
The speed of the standing waves in a string will increase by about 1.414 (the square root of 2 to be more precise) if the tension on the string is doubled. The speed of propagation of the wave in the string is equal to the square root of the tension of the string divided by the linear mass of the string. That's the tension of the string divided by the linear mass of the string, and then the square root of that. If tension doubles, then the tension of the string divided by the linear mass of the string will double. The speed of the waves in the newly tensioned string will be the square root of twice what the tension divided by the linear mass was before. This will mean that the square root of two will be the amount the speed of the wave through the string increases compared to what it was. The square root of two is about 1.414 or so.
What effect does increasing the tension in a vibrating string have on the wavelength?
it will shorten it
What is meant by string in tension?
the force apply on string it vibrate this vibration is called tension of the string
Which factor would lower the pitch of a string?
The tension of the string. Less tension = lower pitch. This can be achieved by loosening the string or lengthening the string.
What is the solution of tension of the string?
apply the formula of tension
What will be tension in string if same force acts on the ends of string?
The tension in any part of the string is equal to the force that pulls the string at the ends (assuming for simplicity that the string is basically weightless).
What are some examples of tension?
Nervous tension: "The tension from waiting for the jury to give its verdict was giving me a headache."Physical tension: "If you overtighten the guitar string, the tension will be so great the string will snap."
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.
If you change the length of the string will it make the frequency increase or decrease?
increase the length of the string means decrease the tension in the string, therefore as the tension decreases the frequency will drop due to loosen of the string.
What are the forces acting on a chain in tension?
Weight of the chain and tension in the string
Why a sitarist adjust the tension in the string of sitar?
The frequency of a string depends on its length, linear density, and tension. Most musical instruments are designed to make it easy to quickly change the tension; this will tune the instrument, or rather, the corresponding string.
What is the force tension?
When a force is applied on a string, a restoring force is developed in it in opposite direction of external force.This restoring force of string is tension.
