A wire is made out of a special steel alloy with Y=2.00×1011Pa, density ρ=7800kg/m3, radius 1.00mm and coefficient of linear thermal expansion α=2.50×10-5 K-1. The initial temperature of the wire is 20∘C20∘C. As a constant tension of 3.53×104N is applied to the wire, the wire is measured to be exactly 60.0cm60.0cm long. (a) What is the fundamental frequency of the wire? Assume the speed of sound is 344m/s. (b) Where should you pluck the wire to achieve the third harmonic (second overtone) without also exciting the fundamental mode? What is its frequency? (c) If the wire is heated to the melting point of steel (13630C), by how much does the fundamental frequency change?
Energy transfer
The flow of energy from one region to another region is referred to as energy transfer. Since energy is quantitative; it must be transferred to a body or a material to work or to heat the system.
Molar Specific Heat
Heat capacity is the amount of heat energy absorbed or released by a chemical substance per the change in temperature of that substance. The change in heat is also called enthalpy. The SI unit of heat capacity is Joules per Kelvin, which is (J K-1)
Thermal Properties of Matter
Thermal energy is described as one of the form of heat energy which flows from one body of higher temperature to the other with the lower temperature when these two bodies are placed in contact to each other. Heat is described as the form of energy which is transferred between the two systems or in between the systems and their surrounding by the virtue of difference in temperature. Calorimetry is that branch of science which helps in measuring the changes which are taking place in the heat energy of a given body.
A wire is made out of a special steel alloy with Y=2.00×1011Pa, density ρ=7800kg/m3, radius 1.00mm and coefficient of linear thermal expansion α=2.50×10-5 K-1. The initial temperature of the wire is 20∘C20∘C. As a constant tension of 3.53×104N is applied to the wire, the wire is measured to be exactly 60.0cm60.0cm long.
(a) What is the fundamental frequency of the wire? Assume the speed of sound is 344m/s.
(b) Where should you pluck the wire to achieve the third harmonic (second overtone) without also exciting the fundamental mode? What is its frequency?
(c) If the wire is heated to the melting point of steel (13630C), by how much does the fundamental frequency change?
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