That's some rod, if it has a diameter of over 16 meters!Brian13 said:Homework Statement
A brass rod (linear expansion coef 19*10-6/°C) has a radius of 8139 cm and a copper (linear expansion coef 17*10-6/°C) sheet has a hole or radius 8139+8.86cm. What temperature change (K) is required to close the gap?
Homework Equations
ΔL/Lo = αΔT?
The Attempt at a Solution
I'm not even sure if the equation is right, so I'm really confused. Thanks for the help!
Please say in words your understanding of the concept of thermal expansion.Brian13 said:I'm not entirely sure. I don't really understand the formula, so I'm having a hard time really wrapping my mind around it. I don't know what the L represents.
The thermal coefficient of expansion is a measure of the change in size or volume of a material in response to a change in temperature. It is typically expressed in units of length per unit length per degree Celsius (or Kelvin).
The thermal coefficient of expansion indicates how much a material will expand or contract as the temperature changes. A higher coefficient means that the material will expand or contract more than a material with a lower coefficient.
The thermal coefficient of expansion is influenced by the type of material, its chemical composition, and its crystal structure. It also varies depending on the temperature range and the direction in which the material is being measured.
The thermal coefficient of expansion is important in understanding the behavior of materials in response to temperature changes. It is used in a variety of applications, such as in the design and construction of buildings and bridges, in the production of electronic devices, and in the manufacturing of everyday objects like glass bottles and metal containers.
The thermal coefficient of expansion can be measured using various techniques, such as dilatometry, interferometry, or optical pyrometry. These methods involve subjecting a sample of the material to controlled temperature changes and measuring its dimensional changes. The resulting data is then used to calculate the thermal coefficient of expansion.