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The graphs below were obtained for a spring-mass system. The same spring was used each time but the mass attached to the spring changed. Fill in the tables below the graphs. To determine the uncertainty of the average period, use the formula from the previous section. To determine σk (spring constant uncertainty), read the paragraph (and use the formula) that is below the first table. POSITION vs. TIME GRAPH POSITION vs. TIME GRAPH pos (m) 0.8 m = 0.648 kg 0.7 0.6 0.5 www 1 2 3 4 5 6 7 8 9 10 time uncertainty = = uncertainty of average period = mass (kg) 0.648 0.162 0.072 t(s) m = 0.162 kg POSITION vs. TIME GRAPH m = 0.072 kg pos (m) 0.8 0.7 0.6 www www pos (m) 0.8 0.7 0.6 0.5 0.5 t(s) 1 2 3 4 56 7 8 9 10 1 2 3 t(s) 4 5 6 7 8 9 10 to t10 (s) At for 10 cycles average T (s) k (s) (N/m) σκ (N/m) The formula to determine σk (spring constant uncertainty) is given below. In this formula, σk is the spring constant uncertainty, k is the spring constant, T is the average period, and σT is the uncertainty of the average period. σκ = 2 кот T

The graphs below were obtained for a spring-mass system. The same spring was used each time but the mass attached to the spring changed. Fill in the tables below the graphs. To determine the uncertainty of the average period, use the formula from the previous section. To determine σk (spring constant uncertainty), read the paragraph (and use the formula) that is below the first table. POSITION vs. TIME GRAPH POSITION vs. TIME GRAPH pos (m) 0.8 m = 0.648 kg 0.7 0.6 0.5 www 1 2 3 4 5 6 7 8 9 10 time uncertainty = = uncertainty of average period = mass (kg) 0.648 0.162 0.072 t(s) m = 0.162 kg POSITION vs. TIME GRAPH m = 0.072 kg pos (m) 0.8 0.7 0.6 www www pos (m) 0.8 0.7 0.6 0.5 0.5 t(s) 1 2 3 4 56 7 8 9 10 1 2 3 t(s) 4 5 6 7 8 9 10 to t10 (s) At for 10 cycles average T (s) k (s) (N/m) σκ (N/m) The formula to determine σk (spring constant uncertainty) is given below. In this formula, σk is the spring constant uncertainty, k is the spring constant, T is the average period, and σT is the uncertainty of the average period. σκ = 2 кот T

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The graphs below were obtained for a spring-mass system. The same spring was used each time but the mass attached to the spring changed. Fill in the tables below the graphs. To determine the uncertainty of the average period, use the formula from the previous section. To determine σk (spring constant uncertainty), read the paragraph (and use the formula) that is below the first table. POSITION vs. TIME GRAPH POSITION vs. TIME GRAPH pos (m) 0.8 m = 0.648 kg 0.7 0.6 0.5 www 1 2 3 4 5 6 7 8 9 10 time uncertainty = = uncertainty of average period = mass (kg) 0.648 0.162 0.072 t(s) m = 0.162 kg POSITION vs. TIME GRAPH m = 0.072 kg pos (m) 0.8 0.7 0.6 www www pos (m) 0.8 0.7 0.6 0.5 0.5 t(s) 1 2 3 4 56 7 8 9 10 1 2 3 t(s) 4 5 6 7 8 9 10 to t10 (s) At for 10 cycles average T (s) k (s) (N/m) σκ (N/m) The formula to determine σk (spring constant uncertainty) is given below. In this formula, σk is the spring constant uncertainty, k is the spring constant, T is the average period, and σT is the uncertainty of the average period. σκ = 2 кот T
Transcribed Image Text:The graphs below were obtained for a spring-mass system. The same spring was used each time but the mass attached to the spring changed. Fill in the tables below the graphs. To determine the uncertainty of the average period, use the formula from the previous section. To determine σk (spring constant uncertainty), read the paragraph (and use the formula) that is below the first table. POSITION vs. TIME GRAPH POSITION vs. TIME GRAPH pos (m) 0.8 m = 0.648 kg 0.7 0.6 0.5 www 1 2 3 4 5 6 7 8 9 10 time uncertainty = = uncertainty of average period = mass (kg) 0.648 0.162 0.072 t(s) m = 0.162 kg POSITION vs. TIME GRAPH m = 0.072 kg pos (m) 0.8 0.7 0.6 www www pos (m) 0.8 0.7 0.6 0.5 0.5 t(s) 1 2 3 4 56 7 8 9 10 1 2 3 t(s) 4 5 6 7 8 9 10 to t10 (s) At for 10 cycles average T (s) k (s) (N/m) σκ (N/m) The formula to determine σk (spring constant uncertainty) is given below. In this formula, σk is the spring constant uncertainty, k is the spring constant, T is the average period, and σT is the uncertainty of the average period. σκ = 2 кот T
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