If x is a measure of length with a value of 0.5 m, and was measured with an appa

Question

If x is a measure of length with a value of 0.5 m, and was measured with an apparatus which has a resolution of 1 mm, what is the relative error in x? Answer as a percentage without typing the percent sign. A student is working with a quantity where alpha, beta, and t are measured and B was computed. If the relative errors are rho alpha = 0.5%, rho beta = 3%, and rho t = 2% what is the relative error in B, rho B ? Answer in units of percent without typing in the % character (example: enter 9.25 instead of 0.0925 or 9.25%).

Explanation / Answer

1. Error = 1mm (Resolution)

Length= 0.5m

=>Error % = 1x10^-3 / 0.5 * 100% = 0.2 %

=> Ans ---- 0.2

2.% errors are added up with exponential coefficient magnitudes multiplied..

=> Error = 2*0.5+0.5*3+3*2=8.5 %

Ans---- 8.5

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