The values of errors are found to be
(a) The absolute error = 3.1 m
(b) The relative error = 0.31 m
Given,
V = 10 m
V(approx) = 13.1 m
(A) To find absolute error
Absolute error = | Actual value - App. Value |
E = | V - V(approx) |
E = | V - V(approx) |
E = | 10 - 13.1 |
E = 3.1 m
Absolute error = 3.1 m
(B) To find the relative error
Relative error = | Absolute error / actual error |
n = | E / V |
E = 3.1 m
V = 10 m
n = | 3.1 / 10 |
n = 0.31 m
Relative error = 0.31 m
Therefore, the absolute error is 3.1 m and relative error is 0.31 m.
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[NOTE: THIS IS AN INCOMPLETE QUESTION. THE COMPLETE QUESTION IS: A scientist makes a measurement and gets a value of 13.1 m. The true value is 10.0 m. Calculate the absolute and relative error of the scientist's measurement. Round your answers to a reasonable number of decimal places. Also be sure your answers include any necessary symbols. Absolute error: relative error:]