Using partial derivatives, calculate the propagated uncertainty in the mass in the following case: given the centripetal force Fc = (20.0 ± 0.5) N, the angular velocity w = (29.2 ± 0.3) rad/s, and the radius R = (0.12 ± 0.01) m get the mass value,m = Fc / (w2R). Express the result in the form m = m + Δm

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter1: Units And Measurement
Section: Chapter Questions
Problem 67P: Suppose your bathroom scale reads your mass as 65 kg with a 3% uncertainty. What is the uncertainty...
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Using partial derivatives, calculate the propagated uncertainty in the mass in the following case: given the centripetal force Fc = (20.0 ± 0.5) N, the angular velocity w = (29.2 ± 0.3) rad/s, and the radius R = (0.12 ± 0.01) m get the mass value,m = Fc / (w2R). Express the result in the form m = m + Δm

ANSWER IS 0.20 +- 0.03 KG
AS SAID, USE UNCERTAINTY PROPAGATION SHOWN IN THE IMAGE

Experimental Uncertainty
σ₁ = f (0,0₁) = ±
d'
av
ad
2
av
at
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Transcribed Image Text:Experimental Uncertainty σ₁ = f (0,0₁) = ± d' av ad 2 av at + Od Ot 2
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