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Angle Period (s) % Error 10° 1.66 7.26 20° 1.76 1.67 L 30° 1.78 0.55 40° 1.81 1.12 50° 1.82 1.68 Pendulum Length (L) = 0.8m gravity (g) 9.81 m/s^2 Small Angle Approximation Period: T=2π L = g 2pi* square root(0.8/9.81) = 1.79 s^2 60° 1.84 2.80

Angle Period (s) % Error 10° 1.66 7.26 20° 1.76 1.67 L 30° 1.78 0.55 40° 1.81 1.12 50° 1.82 1.68 Pendulum Length (L) = 0.8m gravity (g) 9.81 m/s^2 Small Angle Approximation Period: T=2π L = g 2pi* square root(0.8/9.81) = 1.79 s^2 60° 1.84 2.80

Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 70P
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University Physics 1 - Gravitation & Oscillation

I need help with this problem and an explanation of why its the answer described below:

A Simple Pendulum Lab (Image shown below):

What happens to the percent difference between the actual period and the small angle period as the angle increases? Explain why this matches what we expect.

Angle Period (s) % Error 10° 1.66 7.26 20° 1.76 1.67 L 30° 1.78 0.55 40° 1.81 1.12 50° 1.82 1.68 Pendulum Length (L) = 0.8m gravity (g) 9.81 m/s^2 Small Angle Approximation Period: T=2π L = g 2pi* square root(0.8/9.81) = 1.79 s^2 60° 1.84 2.80
Transcribed Image Text:Angle Period (s) % Error 10° 1.66 7.26 20° 1.76 1.67 L 30° 1.78 0.55 40° 1.81 1.12 50° 1.82 1.68 Pendulum Length (L) = 0.8m gravity (g) 9.81 m/s^2 Small Angle Approximation Period: T=2π L = g 2pi* square root(0.8/9.81) = 1.79 s^2 60° 1.84 2.80
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