Math Problem Statement
r=0,0343m 𝑚 𝑠 = 0 , 0950 kg m s =0,0950kg 𝑡 ˉ = 6 , 99 s t ˉ =6,99s 𝑔 = 9 , 80665 m/s 2 g=9,80665m/s 2 ℎ = 1 , 500 m h=1,500m 𝜎 𝑟 = 0 , 0003 m σ r =0,0003m 𝜎 𝑚 𝑠 = 0 , 0001 kg σ m s =0,0001kg 𝜎 𝑡 ˉ = 0 , 07 s σ t ˉ =0,07s 𝜎 ℎ = 0 , 0005 m σ h =0,0005m
Solution
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Math Problem Analysis
Mathematical Concepts
Uncertainty calculation
Error propagation
Formulas
Error propagation formulas for addition/subtraction: \(\sigma_{A\pm B} = \sqrt{\sigma_A^2 + \sigma_B^2}\)
Error propagation formulas for multiplication/division: \(\sigma_{AB} = |AB| \sqrt{\left(\frac{\sigma_A}{A}\right)^2 + \left(\frac{\sigma_B}{B}\right)^2}\)
Theorems
Error propagation theory
Suitable Grade Level
University level (Physics or Engineering)
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