An aluminum baseball bat has a length of 0.87 m at a temperature of 20°C. When the temperature of the bat is raised, the bat lengthens by 0.00016 m. Determine the final temperature of the bat.

Answer 1

change in length/length = alpha * change in temp
alpha for aluminum = coef of linear expansion = 2.4*10^-5
so
1.6*10^-4/.87 = 2.4*10^-5 (T-20)
.766 *10^1 = T-20
T = 20 +7.66 = 27.7 deg C