Error analysis in the introductory physics laboratory

An insightful experimental procedure aimed to measure the gravitational acceleration is reported. The setup is made up of a simple pendulum apparatus, an ultrasonic position sensor, and an Arduino Uno board. The period of oscillations, which leads to the determination of the gravitational acceleration, is obtained from the time series plots of the position of the sensor associated to the pendulum crossing or clearing it periodically. The obtained value of the gravitational acceleration is 9.82 ± 0.10 m s −2 which is in a satisfactory agreement with our local theoretical value of 9.78 m s −2 . The percent error is 0.40%

Section: Resultssupporting

confidence: 83%

Measurement of the gravitational acceleration using a simple pendulum apparatus, ultrasonic sensor, and Arduino

Pili

Violanda

2019

“…Shown in figure 3 is a plot of the square of the period against suspended mass and a best fit line (in color red) yields a slope of 1.48 s 2 kg −1 . Therefore, by using equation ( 4), linear regression analysis, and error propagation for division [8] we found the value of the spring constant used, k, to be…”

Section: Resultsmentioning

confidence: 99%

Measuring a spring constant with a magnetic spring-mass oscillator and a telephone pickup

Pili¹,

Violanda²

2019

“…Subsequently, applying error propagation for division [7], z = xy −1 , which is expressed as in equation ( 3) yields…”

Section: Resultsmentioning

confidence: 99%

Sound-based measurement of g using a door alarm and a smartphone: listening to the simple pendulum

Pili¹

2020

Mainly, a door alarm system is used to measure gravitational acceleration. The magnetic switch component of the door alarm is turned on or off as the magnetic pendulum bob approaches or recedes from it. The audio signals is recorded by a smartphone as a time series, permitting the measurement of the period of oscillations and thus the determination of the gravitational acceleration. A satisfactory match between the experimental and the locally accepted value is attained. The setup is also an apparent audio-based demonstration of the periodicity of the motion of the simple pendulum.