For small changes in temperature the formula for the expansi

For small changes in temperature, the formula for the expansion of a metal rod under a change in temperature is: g?L=aL(t?T) where g is the length of the object at temperature t , and L is the length at temperature T , and a is a constant which depends on the type of metal.

A rod is 65 cm long at 95 degrees F and made of a metal with a=10?6. Write an equation giving the length of this rod at temperature t (because a=10?6 is very small, give an exact answer: do not round expand multiplied numerical products to get rounded decimals).
g= cm

Solution

g=L+aL(t-T)=65+10-6*65(t-95)=65+0.000065t- 0.006175

g=0.000065t+64.993825

For small changes in temperature, the formula for the expansion of a metal rod under a change in temperature is: g?L=aL(t?T) where g is the length of the object

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