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julie asked in 科學及數學數學 · 1 decade ago

f.2maths 近似與誤差 (10分)

(a) The weight of a metal rod is measured to be 350 g, correct to 2 significant figures. Find the percentage error of the weight correct to the nearest 0.1%.

(b) The length of the metal rod is measured to be 98 mm, correct to 2 significant figures. Find the percentage error of the length correct to the nearest 0.1%.

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  • 1 decade ago
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    (a) The weight of a metal rod is measured to be 350 g, correct to 2 significant figures. Find the percentage error of the weight correct to the nearest 0.1%.

    maximun absolute error =(1/2)(10)=5 g

    the percentage error of the weight

    =(maximun absolute error /The measured weight)*100%

    =(5/350)*100%

    =1.4%

    (b) The length of the metal rod is measured to be 98 mm, correct to 2 significant figures. Find the percentage error of the length correct to the nearest 0.1%.

    maximun absolute error =(1/2)(1)=0.5 mm

    the percentage error of the weight

    =(maximun absolute error /The measured weight)*100%

    =(0.5/98)*100%

    =0.5%

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