Three solid objects of the same material and of equal mass –
a sphere, a cylinder (length = diameter) and a cube – are at
5000C initially. These are dropped in a quenching bath
containing a large volume of cooling oil each attaining the
bath temperature eventually. The time required for 90%
change of temperature is smallest for
a) cube
b) cylinder
c) sphere
d) equal for all the three
whyyyyyyy???????
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Answer / vinay upadhyay
answer (d) is correct . because here change of tempr is depend on characteristic length of object and according to ques characteristic length of each will same so their gainig of 90% of tempr difference will requires same time . tou =row *characteristic length*heat capacity /heat transfer cofficient
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Answer / vas
answer 1 (cube) is correct since temp change depends on few
factors, one of which is footage (S) of contact between the
body and substance. Among other equal factors the footage
is different. Thus, the only problem for us here is to find
out solution how to compare footages of the bodies we have.
Since we know that their weights are equal and know the
formulas for figuring out their weights, we will find soon
that the smallest S belongs to the cube, consequently the
biggest belongs to the sphere.
| Is This Answer Correct ? | 1 Yes | 2 No |
ACCOUNTING AND FINANCIAL ENGINEERING - EXAMPLE 34.21 : The cost of building a biochemical processing plant is increasing due to inflation. Let I = inflation rate, R = nominal interest rate, r = real interest rate. According to Fisher Equation, (1 + r)(1 + I) = (1 + R). According to General Inflation Equation, R = r + I. (a) By assuming that both r and I are fairly small, prove by mathematical calculations that complicated Fisher Equation could be simplified into the General Inflation Equation. (b) By using 2 first order Taylor expansions in the linear approximation, namely 1 / (1 + x) ≈ (1 - x), (1 + x)(1 + y) ≈ 1 + x + y, show by mathematical calculations that (1 + r) = (1 + R) / (1 + I) could be approximated by r ≈ R - I.
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