A physical quantity X is connected from X = ab2/C. Calculate percentage error in X, when percentage error in a,b,c are 4,2 and 3 respectivel

Question

A physical quantity X is connected from X = ab2/C. Calculate percentage error in X, when percentage error in a,b,c are 4,2 and 3 respectively.

in progress 0
bonexptip 4 years 2021-08-23T07:13:37+00:00 1 Answers 34 views 0

Answers ( )

  1. Philomena
    0
    2021-08-23T07:14:39+00:00
    Reply

    Answer:

    9.5%

    Explanation:

    Missing information :

    In this question there is incorrect question .The correct question is

    x\ =\frac{ab^{2} }{\sqrt{c} }

    Given :

    x\ =\ \frac{ab^{2} }{\sqrt{c} }

    From the propagation of error property

    $\Delta$x = $\Delta$a + 2$\Delta$b + 1$\Delta$c\\\ \ \ x = \ \ a + \ \ \ \ b + \ \ \ \ c \\———————-Eq(1)

    Putting the respective value 4,2 and 3 in the Eq(1) we get

    This gives

    percentage \ error \ = 4\ +\ 2*2\ +\ \frac{3}{2}\\ percentage \ error \ = 4+4+\frac{3}{2} \\percentage \ error \ = 8+\frac{3}{2}\\ percentage \ error \ = 8+1.5\\percentage \ error \ = 9.5\\Therefore \ 9.5\%

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )