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Related Concept Videos

Measuring Acceleration Due to Gravity01:12

Measuring Acceleration Due to Gravity

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Consider a coffee mug hanging on a hook in a pantry. If the mug gets knocked, it oscillates back and forth like a pendulum until the oscillations die out.
A simple pendulum can be described as a point mass and a string. Meanwhile, a physical pendulum is any object whose oscillations are similar to a simple pendulum, but cannot be modeled as a point mass on a string because its mass is distributed over a larger area. The behavior of a physical pendulum can be modeled using the principles of...
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Variation in Acceleration due to Gravity near the Earth's Surface01:20

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An object's apparent weight is its weight measured by a spring balance at its location. It is different from its true weight, the force with which the Earth pulls it, because of the Earth's rotation. Mathematically, an object's apparent weight equals its true weight minus the centripetal force that keeps it in a circular motion along with the Earth's surface every 24 hours.
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All objects, neglecting air resistance, fall with the same acceleration towards the Earth's center due to the force exerted by the Earth's gravity. This experimentally determined fact is unexpected because we are so accustomed to the effects of air resistance and friction that we expect light objects to fall slower than heavier ones. People believed that a heavier object had a greater acceleration when falling until Galileo Galilei (1564–1642) proved otherwise. We now know this is...
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Related Experiment Video

Updated: May 29, 2025

Simulation of Human-induced Vibrations Based on the Characterized In-field Pedestrian Behavior
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Human mobility is well described by closed-form gravity-like models learned automatically from data.

Oriol Cabanas-Tirapu1, Lluís Danús1,2, Esteban Moro3,4

  • 1Department of Chemical Engineering, Universitat Rovira i Virgili, Tarragona, Catalonia, Spain.

Nature Communications
|February 5, 2025
PubMed
Summary
This summary is machine-generated.

Simple machine-learned models accurately predict human mobility flows, offering better insights than complex models. These gravity-like models provide interpretable and universal features for urban planning and public health applications.

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Area of Science:

  • Urban studies
  • Computational social science
  • Data science

Background:

  • Human mobility modeling is crucial for urban planning, sustainability, public health, and economic development.
  • Current models like gravity models offer interpretability but limited accuracy, while complex machine learning models provide higher accuracy but lack behavioral insights.

Purpose of the Study:

  • To develop and evaluate simple, interpretable machine-learned models for human mobility flow prediction.
  • To demonstrate that these models can match or exceed the accuracy of complex machine learning approaches while offering better interpretability.

Main Methods:

  • Development of closed-form, machine-learned mobility models.
  • Comparison of model performance against traditional gravity models and complex machine learning models using diverse datasets.
  • Evaluation of model interpretability and extrapolation capabilities.

Main Results:

  • Simple machine-learned models achieve prediction accuracy comparable to complex machine learning models.
  • These novel models demonstrate superior extrapolation capabilities compared to existing methods.
  • The developed models are interpretable, similar to gravity models, and applicable across different datasets and scales.

Conclusions:

  • Machine-learned, closed-form models offer a powerful and interpretable approach to human mobility modeling.
  • These models capture fundamental, universal features of human mobility, advancing urban planning and public health research.
  • The findings suggest a new paradigm for modeling mobility flows that balances accuracy with interpretability.