m An experiment to measure the density, d, of a cylindrical object uses the where m is the mass, r is the radius and I is the length of the cylindrical object. The dimensions of the object are listed below: equation d = πr2l’ m = 0.033 ± 0.005 kg r = 8.0 ± 0.1 mm 1 = 14.6 ± 0.1 mm What is the absolute uncertainty of the calculated value of the density? I

m An experiment to measure the density, d, of a cylindrical object uses the where m is the mass, r is the radius and I is the length of the cylindrical object. The dimensions of the object are listed below: equation d = πr2l’ m = 0.033 ± 0.005 kg r = 8.0 ± 0.1 mm 1 = 14.6 ± 0.1 mm What is the absolute uncertainty of the calculated value of the density? I

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter1: Introduction: The Nature Of Science And Physics

Section: Chapter Questions

Problem 21PE: A person measures his or her heart rate by counting the number of beats in 30 s. If 401 beats are...

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Question in bold!! Use the rules in part e) of the review to combine the following numbers: L1 = 5.02 ± 0.03 m, L2 = 8.44 ± 0.06 m, t = 10.20 ± 0.04 s. Find the uncertainty of L1 + L2 and report the value of L1 + L2 Find the uncertainty of L1 × L2 and report the value of L1 × L2. c) Find the uncertainty of L1/t and report the value of L1/t. d) Find the uncertainty of L1 2 and report the value of L1 2 . In question 2(a) above, which value, L1 or L2, introduces the greater uncertainty to the value of L1 + L2 ? In question 2(c) above, which value, L1 or t, introduces the greater uncertainty to the value of L1/t ? Solution: (a) Calculate the uncertainty of L1 + L2 as shown below. ∆(L1+L2)==±(0.03+0.06)±0.09 m∆L1+L2=±0.03+0.06=±0.09 m Calculate the value of L1 + L2 as shown below. L1+L2==(5.02+8.44)±0.09(13.46±0.09) mL1+L2=5.02+8.44±0.09=13.46±0.09 m (b) Calculate the uncertainty of L1 x L2 as shown below. ∆(L1×L2)==±(0.03+0.06)±0.09 m∆L1×L2=±0.03+0.06=±0.09 m Calculate the value of L1…