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Determination of the Radius of Curves and Roundabouts with a Smartphone

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Smartphones as Mobile Minilabs in Physics
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Abstract

Based on earlier work [1], this chapter describes two further experiments that can be carried out on the road. It will be explained how to determine the radius of curves and roundabouts of public streets using only a smartphone. The first experiment shows how to determine the radius of a curve by driving a car around the curve while sampling the acceleration data of the car. The second experiment shows how to calculate the radius of a roundabout by using the built-in gyroscope sensor in combination with the acceleration sensor of the smartphone. The same procedure was used by Monteiro et al. (Chap. 18) [2] to examine a merry-go-round.

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References

  1. Fahsl, C., Vogt, P.: Determination of the drag resistance coefficients of different vehicles. Phys. Teach. 56, 324–325 (2018)

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  2. Monteiro, M., Cabeza, C., Marti, A.C., Vogt, P., Kuhn, J.: Angular velocity and centripetal acceleration relationship. Phys. Teach. 52, 312–313 (2014)

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Fahsl, C., Vogt, P. (2022). Determination of the Radius of Curves and Roundabouts with a Smartphone. In: Kuhn, J., Vogt, P. (eds) Smartphones as Mobile Minilabs in Physics. Springer, Cham. https://doi.org/10.1007/978-3-030-94044-7_19

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