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For the cooling of steel plates discussed in Section 18.4 (Figure 18.17) using linear interpolation, estimate the temperature of the plate at time equal to 1 hr, from the temperature data at 0.8 hr and 1.2 hour. Compare the estimated temperature value to the actual value of 308° C. What is the percentage of error?
Engineering Fundamentals: An Intro...
Solutions
Engineering Fundamentals: An Intro...
For the cooling of steel plates discussed in Section 18.4 (Figure 18.17) using linear interpolation, estimate the temperature of the plate at time equal to 1 hr, from the temperature data at 0.8 hr and 1.2 hour. Compare the estimated temperature value to the actual value of 308° C. What is the percentage of error?
Estimate the temperature of plate at
Explanation of Solution
Given data:
Refer to Figure 18.17 in section 18.4 in textbook,
The value of temperature at
The actual value of temperature at
The value of temperature at
Formula used:
Formula to calculate the error is,
Calculation:
Refer to Figure 18.17 in textbook, the graph shows the relationship between temperature and time.
To find the value of temperature at
Therefore, to find the temperature at
From the Figure 1, draw the two similar triangles
Using similar angle theorem,
Refer to Figure 2,
The values for
Substitute
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