You have a physical quantity, quantity C, that is calculated by dividing quantity A by quantity B. Quantity A is 2.1N +- 0.05N. As we see, it has an absolute uncertainty of 0.05N. Quantity B is actually found by subtrating two preliminary values, b1 = 1.20m+-0.005m and b2 = 1.48m+-0.005m.
Calculate (a) the absolute uncertainty in the quantity B (i.e. in b2 - b1)
(b) the percent uncertainty in B
(c) the percent uncertainty in C,
(d) the absolute uncertainty in C.
physics - uncertainty
2013-05-08 12:24 pm
回答 (1)
2013-05-08 4:11 pm
✔ 最佳答案
(a) Uncertainty in B = +/- (0.005 + 0.005) m = +/- 0.01 m(b) Percentage uncertainty in B
= [0.01/(1.48 - 1.2)] x 100% = 3.57%
(c) Fractional uncertainty in A
= 0.05/2.1 = 0.0238
Fractional uncertainty in C = (0.0238 + 0.0357) = 0.0595
Percentage uncertainty in C = 5.95%
(d) Value of C = 2.1/0.28 N/m = 7.5 N/m
Uncertainty in C
= +/- 0.0595 x 7.5 N/m
= +/- 0.4 N/m
收錄日期: 2021-04-29 17:48:14
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