Answer:
(a) The second wire will be stretched by 2 mm
(b) The third wire will be stretched by 0.25 mm
Explanation:
Tensile stress on every engineering material is given as the ratio of applied force to unit area of the material.
σ = F / A
Tensile strain on every engineering material is given as the ratio of extension of the material to the original length
δ = e / L
The ratio of tensile stress to tensile strain is known as Young's modulus of the material.
<u></u>
<u>Part A</u>
cross sectional area and applied force are the same as the original but the length is doubled
The second wire will be stretched by 2 mm
<u>Part B</u>
a third wire with the same length but twice the diameter of the first
e₁ = ¹/₄ x 1 mm = 0.25 mm
The third wire will be stretched by 0.25 mm
With the use of below formula, at 879 °C, velocity will be double the velocity at 15 °C.
<h3>
What is the relationship between Velocity and sound ?</h3>
The velocity of sound waves in air is proportional to the square root of Thermodynamic temperature. That is, V = K
Given that the temperature at which the velocity of sound in air is twice its velocity at 15°C, Let us make use of the formula;
(v2/v1) = √(T2 / T1)
Where
- T2 = final absolute temperature
- T1 = initial temperature.
Recall that absolute temperature = °C + 273.
If v2 = 2 × v1 and temperature in degree Celsius = 15°C, then,
Temperature in Kelvin K = 15 + 273 = 288
Substitute all the parameters into the formula
(2 × v1)/v1 = √(T2/288)
2 = √ (T2 /288)
Square both sides
4 = (T2/288)
T2 = 4 × 288
T2 = 1152K
Temperature in degrees Celsius = 1152 - 273 = 879 °C.
Therefore, at 879 °C, velocity will be double the velocity at 15 °C.
Learn more about sound waves here: brainly.com/question/13105733
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Hope this helps !
