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2B1115 OMTEN 20050823 6(4)<br />
∆F<br />
F<br />
≈<br />
=<br />
⎛ ∂F<br />
⎞<br />
⎜ ∆v⎟<br />
⎝ ∂v<br />
⎠<br />
2<br />
0.0000989 = 0.009945<br />
2<br />
⎛ ∂F<br />
⎞<br />
+ ⎜ ∆A⎟<br />
⎝ ∂A<br />
⎠<br />
⎛ ∆v<br />
⎞ ⎛ ∆A<br />
⎞ ⎛ ∆ρ<br />
⎞<br />
= ⎜2<br />
⎟ + ⎜ ⎟ + ⎜ ⎟ =<br />
⎝ v ⎠ ⎝ A ⎠ ⎝ ρ ⎠<br />
2<br />
2<br />
2<br />
⎛ 0.09 ⎞ ⎛ 0.02 ⎞ ⎛ 0.008 ⎞<br />
= ⎜2<br />
× ⎟ + ⎜ ⎟ + ⎜ ⎟ ≈<br />
⎝ 30.0 ⎠ ⎝ 4.00 ⎠ ⎝ 1.30 ⎠<br />
2<br />
2<br />
2<br />
⎛ ∂F<br />
⎞<br />
+ ⎜ ∆ρ<br />
⎟<br />
⎝ ∂ρ<br />
⎠<br />
2<br />
=<br />
∆F=0.009945×4.68×10 3 (N)=0.0465×10 3 N≈0.05×10 3 N
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