513 We learned in Chapter 2 that ball bearings are hardened

5.13 We learned in Chapter 2 that ball bearings are hardened through a process of heating and then rapid cooling, or \"quenching,\" by submersion in an oil or water. The temperature of the ball during the quenching process can be estimated from Equation 2.3, which is repeated here:

Solution

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Ti=800;
To=40;
tao1=20;
tao2=50;
tao3=100;
t=0:1:180;
T1=(Ti-To)*exp(-t./tao1)+To;
T2=(Ti-To)*exp(-t./tao2)+To;
T3=(Ti-To)*exp(-t./tao3)+To;
plot(t,T1,\'b\',t,T2,\'g\',t,T3,\'r\');
xlabel(\'Time\');
ylabel(\'Temp\');
legend(\'20 Sec\',\'50 Sec\',\'100 Sec\');
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