Question

Calculate the maximum absolute uncertainty for R if:

Answer 1

Answer:

 ΔR = 5 s

Explanation:

The absolute uncertainty or error in an expression is

       ΔR = | $\frac{dR}{dB}$ | ΔB + | $\frac{dR}{dA}$ | ΔA

the absolute value guarantees to take the unfavorable case, that is, the maximum error.

We look for the derivatives

       $\frac{dR}{dB}$ = 1

       $\frac{dR}{dA}$ = -1

we substitute

       ΔR = 1 ΔB + 1 ΔA

       

of the data

       ΔB = 3 s

       ΔA = 2 s

         

       ΔR = 3 + 2

       ΔR = 5 s