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[Solved]4 Manufacturing Ball Bearings Components Ball Hardened Process Heating Rapid Cooling Quenc Q37133661

4. In the manufacturing of ball bearings, the components, such as the ball, are hardened through a process of heating and the

4. In the manufacturing of ball bearings, the components, such as the ball, are hardened through a process of heating and then rapid cooling or “quenching” by submersion in oil or water bath. The temperature of the ball as a function of time, T), in the bath may be estimated as follows: where t is the time in the bath, in seconds, Ti, is the initial ball temperature; To, the oil temperature, and τ is the time constant in seconds and depends upon the material of the ball, the geometry of the ball, and oil properties. Write a MATLAB function that takes T, T,, τ, and three different times,(i.e. t is a 1 x 3 vector), as input arguments and returns the ball temperature for the specified times in a one-dimensional array. Test your function assuming an initial ball temperature of 1000 °C, an oil temperature of 60 °C, the time constant r-60 s and for 0.1, 10, and 100 seconds. Show transcribed image text 4. In the manufacturing of ball bearings, the components, such as the ball, are hardened through a process of heating and then rapid cooling or “quenching” by submersion in oil or water bath. The temperature of the ball as a function of time, T), in the bath may be estimated as follows: where t is the time in the bath, in seconds, Ti, is the initial ball temperature; To, the oil temperature, and τ is the time constant in seconds and depends upon the material of the ball, the geometry of the ball, and oil properties. Write a MATLAB function that takes T, T,, τ, and three different times,(i.e. t is a 1 x 3 vector), as input arguments and returns the ball temperature for the specified times in a one-dimensional array. Test your function assuming an initial ball temperature of 1000 °C, an oil temperature of 60 °C, the time constant r-60 s and for 0.1, 10, and 100 seconds.

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