A hockey puck of mass m = 0.25 kg is tied to a string and is rotating horizontally in a circle of radius R = 1.0 m on top of a frictionless table. The string is passing through a hole in the center of the table with a mass of 1 kg hanging vertically downward below the table. If the 1 kg mass hanging below the table remains in equilibrium (at a fixed position) while the puck is rotating horizontally. Since the weight below the table remains in equilibrium, the tension in the rope must equal the weight suspended from it T = W = (1 kg) × (9.81 m/s2 ) = 9.81 N
A string under tension has potential energy, which will be liberated as kinetic energy should the string break or be released.
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.
Weight of the chain and tension in the string
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.
15.8 m/s
the force apply on string it vibrate this vibration is called tension of the string
On an ideally elastic and homogeneus string, the square of the speed is the tension upon wich the string is subjected, divided by its linear mass density (mass per unit lenght). That is v^2 = T / (M/L), where v is the wave speed, T the tension, M the string's mass and L its length, so M/L comes to be the linear mass density (for an homogeneous string).
The tension of the string. Less tension = lower pitch. This can be achieved by loosening the string or lengthening the 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).
apply the formula of tension
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.
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."
A hockey puck of mass m = 0.25 kg is tied to a string and is rotating horizontally in a circle of radius R = 1.0 m on top of a frictionless table. The string is passing through a hole in the center of the table with a mass of 1 kg hanging vertically downward below the table. If the 1 kg mass hanging below the table remains in equilibrium (at a fixed position) while the puck is rotating horizontally. Since the weight below the table remains in equilibrium, the tension in the rope must equal the weight suspended from it T = W = (1 kg) × (9.81 m/s2 ) = 9.81 N
A string under tension has potential energy, which will be liberated as kinetic energy should the string break or be released.
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.
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.