Fractal dimension analysis with popcorn grains and popped popcorn grains

Carmo, Eduardo do; Hönnicke, Marcelo Gonçalves

doi:10.1590/1806-9126-rbef-2021-0115

Cited by 2 publications

(3 citation statements)

References 9 publications

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“…where P = m • g is the weight, m is the average popcorn mass [24] and g the gravitational acceleration. Then, by e20230261-3…”

Section: Popcorn Motion and Drag Coefficient Analysismentioning

confidence: 99%

“…Then, by using the air density [25] ρ = 1.21 kg/m 3 , the average popcorn cross sectional area, A = 3.40 × 10 −4 ± 5 × 10 −6 m 2 [24], the average popcorn mass, m = 2.13 × 10 −4 ± 3 × 10 −6 kg [24], the v y and a y functions, differentiated from each different fitted trajectory function (3 rd order polynomial function -e.g., Figure 2), it is possible to solve the equation ( 4) in order to get the different C D s:…”

Section: Popcorn Motion and Drag Coefficient Analysismentioning

confidence: 99%

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Drag coefficient of vertically moving popcorns

Carmo,

Hönnicke

2024

Rev. Bras. Ensino Fís.

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To take the students attention in physics lectures is always a challenge. The projectile motion is not an exception. Then, study of popcorn motion can be a way to introduce and motivate the students in this subject. In this work, the popcorn flight, caused by the popping process was recorded by a cellular phone and analyzed frame by frame. Then, the drag coefficient (CD) of vertically moving popcorns is determined and its dependency with the vertical velocity (vy) and with the Reynolds number (Re) is explored. Our results show that CD increases exponentially when vy decreases. Also, CD shows higher uncertainties when the popcorn is close to its maximum vertical trajectory. The dependency of CD with Re shows that the popcorn flights are governed, mainly, by a laminar flow motion (Re < 2000).

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“…where P = m • g is the weight, m is the average popcorn mass [24] and g the gravitational acceleration. Then, by e20230261-3…”

Section: Popcorn Motion and Drag Coefficient Analysismentioning

confidence: 99%

Section: Popcorn Motion and Drag Coefficient Analysismentioning

confidence: 99%

Drag coefficient of vertically moving popcorns

Carmo,

Hönnicke

2024

Rev. Bras. Ensino Fís.

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“…In this paper, we analyse the different sound samples of musical instruments and noises. Earlier studies to introduce fractal dimension measurement (Carmo & Hõnnicke, 2021;Ching et al, 1994;García & Liu, 1995;Hartvigsen, 2000;Shore et al, 1992) are aimed at creating more interest among the students about the fractal structures, but many of them are time consuming, needs money and guidance of the teachers. But our method of measuring fractal dimension is very easy and less time consuming compared to the earlier works.…”

Section: Fractals and Musical Instrumentsmentioning

confidence: 99%

Fractals and music

Pothiyodath

Murkoth

2022

Momentum: Physics Education Journal

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Many natural phenomena we find in our surroundings, are fractals. Studying and learning about fractals in classrooms is always a challenge for both teachers and students. We here show that the sound of musical instruments can be used as a good resource in the laboratory to study fractals. Measurement of fractal dimension which indicates how much fractal content is there, is always uncomfortable, because of the size of the objects like coastlines and mountains. A simple fractal source is always desirable in laboratories. Music serves to be a very simple and effective source for fractal dimension measurement. In this paper, we are suggesting that music which has an inherent fractal nature can be used as an object in classrooms to measure fractal dimensions. To find the fractal dimension we used the box-counting method. We studied the sound produced by different stringed instruments and some common noises. For good musical sound, the fractal dimension obtained is around 1.6882.

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Fractal dimension analysis with popcorn grains and popped popcorn grains

Abstract: In this manuscript, a very simple experiment was mounted to explore the fractal dimension of a popcorn grain before (popcorn grains) and after (popcorn itself) the popping process.

Cited by 2 publications

References 9 publications

Drag coefficient of vertically moving popcorns

Drag coefficient of vertically moving popcorns

Fractals and music

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