A quantity Q is formulated as X-2Y+ 32Z- 25. X, Y, and Z are independent parameters which have fractional errors of 0.1, 0.2, and 0.5, respectively in measurement. The maximum fractional error of Q is
- 0.6
- 0.8
- 0.7
- 0.1
Answer
(3) 0.7
Solution
For Q = XaYbZc, maximum fractional error: QQ = |a| XX + |b| YY + |c| ZZ
QQ = 2(0.1) + 32(0.2) + 25(0.5)
= 0.2 + 0.3 + 0.2 = 0.7
Answer: (3)