A useful demonstration of calculus in a physics high school laboratory

Alvarez, Gustavo; Schulte, Jürgen; Stockton, Geoffrey; Wheeler, David

doi:10.1088/1361-6552/aa8a7f

Cited by 3 publications

(2 citation statements)

References 8 publications

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“…Hence, the current lab activity appears to be not only for the potential benefit of interested physics teachers but for mathematics teachers as well. The pedagogical implications of the use of physics in teaching mathematics is a fairly established fact [7,8].…”

Section: Summary Conclusion and Recommendationsmentioning

confidence: 99%

Work-based measurement of k with a spring-mass system: a demo of the work done by a variable force

Pili¹

2023

Phys. Educ.

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This article details the use of the concept of the work done by a variable force in measuring the spring constant of the spring in a spring-mass system. The raw data used in the experiment is similar to the one used in measuring the same quantity, but by directly invoking Hooke’s law, in which the slope of the linear plot of the applied force as a function of the spring elongation directly yields the spring constant. Slightly different, the work done approach showed in this article allows for the measurement of the spring constant by plotting the work done of the applied force as a function of the square of the elongation. The result is accurate to within less than 1.00%. Aside from a work-based determination of a spring constant, the current lab activity can be regarded as a demonstration of the concept of the work done by a variable force as well. Moreover, the concept of the integral of a function—as well as that of the area of the triangle—being equal to the area bounded by the graph of the same function has an appearance in this paper. Therefore, the potential utility of this work as a physics-based illustration of the area of the triangle and of one of the fundamentals of integral calculus.

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Section: Summary Conclusion and Recommendationsmentioning

confidence: 99%

Work-based measurement of k with a spring-mass system: a demo of the work done by a variable force

Pili¹

2023

Phys. Educ.

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“…This article demonstrates the use of calculus in physics laboratories, suitable for high school and undergraduate courses. Calculus-based model to investigate real physical problems is encouraged [4].…”

Section: Introductionmentioning

confidence: 99%

Device development with a mathematical model to study heat capacity of liquids

Tadta,

Worrasookwanich,

Tanalikhit

et al. 2023

Phys. Educ.

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A simple device for studying the heat capacity of water was constructed for classroom use. It consists of a water-filled closed container with an inserted heating rod and a thermometer. Initially, the water temperature increases linearly with time but later shows a deviation from the linear trend. To explain the result, the heating rate is assumed to be proportional to the difference between the temperature of the rod and that of water. The device can also be used to measure the specific heat capacity of other common liquids. This article demonstrates a simple equipment design together with an application of calculus in an introductory undergraduate physics laboratory. It presents an opportunity for project-based learning as well as problem solving with an emphasis on mathematical model development.

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The role of mathematics in designing laboratory activity

Hidayah

Wiyanto

2019

J. Phys.: Conf. Ser.

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A useful demonstration of calculus in a physics high school laboratory

Cited by 3 publications

References 8 publications

Work-based measurement of k with a spring-mass system: a demo of the work done by a variable force

Work-based measurement of k with a spring-mass system: a demo of the work done by a variable force

Device development with a mathematical model to study heat capacity of liquids

The role of mathematics in designing laboratory activity

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