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How can a line be linear and nonlinear?
Two possibilities: The line is linear over some of its length and then goes non-linear (or the other way round: Think of a mass, at the end of a string, being swung in a circle. Then the string is cut. The motion of the mass would have been circular (lon-linear) until the instant the string was cut and then linear, as it flies off into a tangent. Or The line is linear from one perspective but not from another: Think of the trajectory of a ball that is thrown up at an angle to the horizon. If seen from above, the ball travels in a straight line (linear) but if seen from the side it follows a parabola (non-linear). Hope that helps.
What is the definition of linear distance?
Linear distance is basically the distance between two defined points. Think of two pins on a map, and a string being strung from both heads, where the string would follow from one point to another in a perfect line. Hence, linear.
Is inductor linear or non linear?
non linear
Why is hcn not linear?
It is linear
Is the relationship between inches and centimeters linear or non linear?
It is linear.
Is String is a linear data structure?
yes
If the tension in the string is doubled what will be the effect on the speed of standing waves in the 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 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.
Is String a linear data structure?
yes it is, other linear data structures are lists,queues,stacks,arrays
How can a line be linear and nonlinear?
Two possibilities: The line is linear over some of its length and then goes non-linear (or the other way round: Think of a mass, at the end of a string, being swung in a circle. Then the string is cut. The motion of the mass would have been circular (lon-linear) until the instant the string was cut and then linear, as it flies off into a tangent. Or The line is linear from one perspective but not from another: Think of the trajectory of a ball that is thrown up at an angle to the horizon. If seen from above, the ball travels in a straight line (linear) but if seen from the side it follows a parabola (non-linear). Hope that helps.
What is the definition of linear distance?
Linear distance is basically the distance between two defined points. Think of two pins on a map, and a string being strung from both heads, where the string would follow from one point to another in a perfect line. Hence, linear.
What affect the speed of sound in a stretched string?
The speed of sound in a stretched string is affected by the tension in the string and the linear density of the string material. A higher tension and lower linear density will result in a faster speed of sound in the string. Additionally, the length and thickness of the string can also impact the speed of sound.
How do you calculate wave speed along a vibrating 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).
What are the laws of string?
Avibration in a string is a wave. Usually a vibrating string produces a sound whose frequency in most cases is constant. Therefore, since frequency characterizes the pitch, the sound produced is a constant note. Vibrating strings are the basis of any string instrument like guitar, cello, or piano. The speed of propagation of a wave in a string is proportional to the square root of the tension of the string and inversely proportional to the square root of the linear mass of the string.
Does density of a string affect the frequency?
Yes, the density of a string affects its frequency of vibration. In general, a denser string will vibrate at a lower frequency while a less dense string will vibrate at a higher frequency when under the same tension. This relationship is described by the equation for wave speed: (v = \sqrt{\frac{T}{\mu}}), where (v) is the wave speed, (T) is the tension in the string, and (\mu) is the linear mass density of the string.
What is the mass per unit of linear density?
The mass per unit of linear density is the amount of mass per unit length of a linear object, such as a string or wire. It is calculated by dividing the total mass of the object by its length.
Why a sitarist adjust the tension in the string of sitar?
A sitarist adjusts the tension in the string of sitar to change the pitch of the note it produces. By increasing the tension, the pitch of the string becomes higher and by decreasing the tension, the pitch becomes lower. This helps the sitarist tune the instrument accurately.
