Measuring Rate of Fall with Phyphox

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Questions and Answers

What is the primary function of the Phyphox mobile application in the context of the freefall experiment?

  • To calculate the potential energy of the object.
  • To precisely measure the time it takes for a falling object using its acoustic feature. (correct)
  • To measure the air resistance acting on the object.
  • To measure the mass of the falling object.

According to the introduction, what is the significance of studying falling objects?

  • It primarily serves as a demonstration for classroom activities.
  • It is important for understanding advanced physics concepts only.
  • It helps in understanding the properties of different materials.
  • It offers insights into the principles of motion and gravity and has real-world applications. (correct)

According to Newton's Second Law, how is the net force acting on an object expressed?

  • F = KE
  • F = v/t
  • F = ma (correct)
  • F = d/t

In the context of a falling object near the Earth's surface, which force is considered the most significant?

<p>Gravity. (D)</p> Signup and view all the answers

What does equation 7, $d = \frac{1}{2}gt^2$, represent in the context of the free fall experiment?

<p>The distance a falling object travels as a function of time when starting from rest. (B)</p> Signup and view all the answers

Why is it important to calibrate the acoustic timer in the Phyphox app?

<p>To ensure precise time measurements by minimizing the impact of background noise. (C)</p> Signup and view all the answers

In the experimental procedure, what is the purpose of producing a distinct snapping sound when releasing the object?

<p>To provide a clear start signal for the Phyphox app's acoustic timer. (C)</p> Signup and view all the answers

What does the experiment aim to demonstrate regarding physics principles and modern technology?

<p>The practical application of physics principles and the capabilities of modern technology in facilitating hands-on learning. (B)</p> Signup and view all the answers

Given the equation $g = \frac{2d}{t^2}$, how would an error in measuring 't' (time) affect the calculated value of 'g' (acceleration due to gravity)?

<p>An overestimation of 't' would lead to an underestimation of 'g'. (B)</p> Signup and view all the answers

If, during the free fall experiment, air resistance is not negligible, how would it primarily affect the observed acceleration of the object?

<p>The object's acceleration would decrease below 9.8 m/s². (B)</p> Signup and view all the answers

In conducting the free fall experiment with Phyphox, what is the most crucial consideration for ensuring the accuracy of acoustic measurements?

<p>Minimizing background noise and accurately calibrating the acoustic timer. (B)</p> Signup and view all the answers

Considering the experimental setup, if the phone's microphone has a delayed response, thus adding a constant systematic error to each time measurement, how would this affect the calculated value of 'g'?

<p>The calculated value of 'g' would be lower than the standard value because the measured time would be longer. (A)</p> Signup and view all the answers

How does Phyphox use acoustic data to determine the time elapsed between the release and impact of a falling object?

<p>By identifying the distinct sound peaks at the moment of release and impact. (D)</p> Signup and view all the answers

What parameters can be connected by correlating the time measured with Phyphox and the calculated distance?

<p>Acoustic data and physical parameters. (B)</p> Signup and view all the answers

What is the first step in the experimental procedure outlined for the free fall experiment?

<p>Choosing a suitable location for the experiment. (C)</p> Signup and view all the answers

Why is the experiment considered a bridge between modern technology and classical physics?

<p>Because it applies modern tools to understand classical physics principles. (C)</p> Signup and view all the answers

In the experiment, what is the default threshold value set in the Phyphox app for acoustic measurements?

<p>0.1 (B)</p> Signup and view all the answers

What should you do if the timer starts prematurely due to background noise during the calibration of the Phyphox app?

<p>Incrementally increase the threshold value. (A)</p> Signup and view all the answers

How many trials are recommended to conduct for each value of height in the free fall experiment using Phyphox?

<p>Five trials. (D)</p> Signup and view all the answers

Following data collection, what calculation is performed to summarize the central tendency of the time measurements at each height?

<p>Average time. (A)</p> Signup and view all the answers

What is the next step after calculating the average time for each height in the experiment?

<p>Solving for the value of 'g' based on acquired values. (A)</p> Signup and view all the answers

According to the guide questions, what is a potential source of error in the experiment that affects the accuracy of results?

<p>Audio interference from surrounding noises. (C)</p> Signup and view all the answers

What strategy is suggested in the guide questions to improve the accuracy of the experiment?

<p>Conducting multiple trials. (B)</p> Signup and view all the answers

According to the guide questions, what is one of the realizations gained through the experiment?

<p>The experiment proved the importance of physics and the practical application of technology. (B)</p> Signup and view all the answers

What could cause inaccurate measurements in the experiment, according to the guide questions?

<p>Inconsistent measurements of the starting height. (C)</p> Signup and view all the answers

Which of the following is a factor that can be controlled or managed to minimize interference and improve accuracy?

<p>Outside factors such as ambient temperature and surrounding sounds. (B)</p> Signup and view all the answers

How does this experiment show the integration of technology into scientific experimentation?

<p>By using the Phyphox app to collect and analyze data. (B)</p> Signup and view all the answers

What does the experiment indicate about the relationship between theoretical and modern physics?

<p>They can be connected using modern measurement tools. (D)</p> Signup and view all the answers

If the acoustic timer in the Phyphox app triggers early due to ambient noise, causing an overestimation of the object's fall time, how would this specifically affect the calculation of 'g' using the equation $g = \frac{2d}{t^2}$?

<p>It would result in a calculated 'g' value that is lower than the actual value. (A)</p> Signup and view all the answers

Consider a scenario where the object used in the free fall experiment is significantly affected by air resistance. How would this influence the relationship shown in equation 7, $d = \frac{1}{2}gt^2$?

<p>Air resistance would cause the object to fall slower than predicted by the equation, decreasing ‘d’ for a given ‘t’. (B)</p> Signup and view all the answers

If the standard deviation of the time measurements in the experiment is high, what does this indicate about the precision and reliability of the data?

<p>The data are neither precise nor reliable. (B)</p> Signup and view all the answers

If the calculated value of 'g' from your experiment is significantly different from the standard value (9.8 m/s²), what does this suggest about the experiment's accuracy, and what steps should be taken to address it?

<p>The experiment's accuracy is questionable; recalibrate the equipment and repeat the experiment. (C)</p> Signup and view all the answers

How can using more advanced equipment improve the accuracy and precision of this experiment?

<p>Advanced equipment can clarify precision and exactness, possibly reducing human error. (D)</p> Signup and view all the answers

In a modified version of the experiment, imagine the object is dropped inside a vacuum chamber. How would this change the variables and results compared to the original experiment conducted in air?

<p>The acceleration would be constant and equal to 9.8 m/s² without air resistance. (A)</p> Signup and view all the answers

Considering the limitations of the Phyphox app and assuming you aim to measure 'g' with the highest possible precision using only a smartphone, what additional sensor data, beyond acoustics, could you integrate to correct for systematic errors or improve accuracy?

<p>Inertial Measurement Unit accelerometer data to cross-validate the fall time and orientation changes. (C)</p> Signup and view all the answers

Given the goal of determining 'g' as accurately as possible on a limited budget in an educational setting, what adjustments to the methodology would yield the most significant improvement in results without requiring expensive equipment?

<p>Using a high-frame-rate camera to visually confirm drop times concurrent with acoustic measurements. (A)</p> Signup and view all the answers

What is the purpose of using a ruler or measuring tape in the free fall experiment?

<p>To measure the height from which the object is dropped. (B)</p> Signup and view all the answers

According to Newton's Second Law of Motion, what is the relationship between force, mass, and acceleration?

<p>Force is equal to mass multiplied by acceleration. (A)</p> Signup and view all the answers

In the context of the free fall experiment, what does the variable 'd' represent in the kinematic equations?

<p>Displacement or distance fallen by the object (C)</p> Signup and view all the answers

If an object is dropped from rest, what is the simplified equation for the distance it falls as a function of time?

<p>$d = \frac{1}{2}at^2$ (D)</p> Signup and view all the answers

In the free fall experiment using Phyphox, what is the primary purpose of calibrating the acoustic timer?

<p>To ensure that the timer only responds to the sound of the object being released and hitting the ground (D)</p> Signup and view all the answers

What is the recommended method for incrementally increasing the threshold value during the calibration of the acoustic timer in Phyphox?

<p>Add 0.1 to the previous threshold setting. (D)</p> Signup and view all the answers

What is the purpose of making a distinct snapping sound with your fingers when releasing the object in the free fall experiment?

<p>To provide a clear acoustic starting point for the Phyphox app to measure the fall time (C)</p> Signup and view all the answers

After conducting multiple trials for each height, what statistical measure is calculated to find the central tendency of the time measurements?

<p>Average time (B)</p> Signup and view all the answers

What is the subsequent step after calculating the average time for each height in the free fall experiment?

<p>Solve for the standard deviation. (D)</p> Signup and view all the answers

According to the experiment guide, what is identified as a potential source of error that could affect the accuracy of the results?

<p>Audio interference from surrounding noises triggering the Phyphox app acoustic timer early. (B)</p> Signup and view all the answers

What specific strategy is suggested to improve the accuracy of the free fall experiment?

<p>Conducting multiple trials to ensure accurate measurement and managing outside factors to minimize interference. (A)</p> Signup and view all the answers

What key realization is highlighted regarding the experiment's integration of physics principles and modern technology?

<p>The experiment enhances our understanding of free fall and showcases the practical application of technology in physics. (D)</p> Signup and view all the answers

What parameters are correlated in this experiment to establish a connection between acoustic data and the physical parameters of a falling object?

<p>Time elapsed and calculated distance (C)</p> Signup and view all the answers

In the context of the free fall experiment, what does the equation $g = \frac{2d}{t^2}$ allow you to determine?

<p>The acceleration due to gravity (A)</p> Signup and view all the answers

How does the Phyphox app determine the time elapsed between the release and impact of a falling object?

<p>By using acoustic data to detect the distinct sound pattern when the object is released and when it impacts a surface. (D)</p> Signup and view all the answers

What does a high standard deviation in the time measurements indicate about the data collected in the free fall experiment?

<p>There is a wide spread of data points, indicating lower precision and reliability. (C)</p> Signup and view all the answers

What is the significance of comparing the calculated value of 'g' from the experiment with the standard value of 9.8 m/s²?

<p>To assess the experiment's accuracy and identify potential sources of error. (B)</p> Signup and view all the answers

What is the purpose of setting up a ruler or measuring tape vertically alongside the location where the object will fall?

<p>To accurately measure the height from which the object is dropped. (C)</p> Signup and view all the answers

If the calculated value of 'g' is significantly lower than the standard value (9.8 m/s²), and air resistance is suspected, what adjustment to the experiment would best address this issue, assuming no specialized equipment is available?

<p>Use a more compact and denser object. (C)</p> Signup and view all the answers

Given the limitations of using a smartphone for precise measurements, what is the most effective way to improve the accuracy of the free fall experiment using only the Phyphox app and readily available materials?

<p>Increase the number of trials and meticulously calibrate the acoustic timer to minimize the impact of random and systematic errors. (A)</p> Signup and view all the answers

In a scenario where the ambient temperature increases significantly during the experiment, potentially affecting the speed of sound and thus the acoustic measurements, how would you mitigate this effect using only the Phyphox app and basic materials?

<p>Use the Phyphox app to measure the ambient temperature and apply a correction factor to the calculated time values based on the temperature change's theoretical effect on the speed of sound. (D)</p> Signup and view all the answers

Consider an alternative experimental design where the object's fall is recorded using the smartphone's high-speed camera feature instead of relying solely on acoustic measurements. Assuming the camera captures frames at a known rate (frames per second), how would you determine 'g' from this video data, and what would be the primary sources of error to consider?

<p>All of the above are valid methods, but the error contributions will vary based on camera and setup limitations. (E)</p> Signup and view all the answers

What does the equation $F = m imes g$ (Eq. 1) represent in the context of the free fall experiment's theoretical framework?

<p>The net force acting on the object, equaling its mass times the acceleration due to gravity. (C)</p> Signup and view all the answers

According to the theoretical framework, what simplification is made about acceleration in the free fall experiment?

<p>Acceleration is equal to the value of 'g' (acceleration due to gravity). (C)</p> Signup and view all the answers

In Equation 5, $d = v_i t + \frac{1}{2}at^2$, what does $v_i$ represent?

<p>The initial velocity of the object. (C)</p> Signup and view all the answers

According to Equation 7, how is the distance a falling object travels related to the time elapsed during the fall when starting from rest?

<p>Distance is directly proportional to the square of the time. (D)</p> Signup and view all the answers

What does the experiment aim to demonstrate by using Phyphox and the free fall scenario?

<p>The practical demonstration of physics principles and the integration of modern technology in facilitating hands-on learning. (A)</p> Signup and view all the answers

What is one advantage of using Phyphox's acoustic feature in studying falling objects?

<p>It offers an accurate and accessible means of measuring the time it takes for objects to fall. (D)</p> Signup and view all the answers

In the experimental procedure, what should you do if the acoustic timer starts prematurely due to background noise during calibration?

<p>Incrementally increase the threshold value by adding 0.1 to the previous setting. (C)</p> Signup and view all the answers

If air resistance significantly affects the falling object, how would this influence the relationship described by the equation $d = \frac{1}{2}gt^2$?

<p>The distance fallen would be less than predicted by the equation. (D)</p> Signup and view all the answers

Which of the following factors is most crucial for ensuring the accuracy of acoustic measurements during the experiment?

<p>Minimizing background noise and accurately calibrating the Phyphox acoustic timer. (C)</p> Signup and view all the answers

Imagine the object is dropped inside a vacuum chamber. How would this primarily change the results compared to the original experiment conducted in air?

<p>Air resistance would be negligible, leading to acceleration solely due to gravity. (B)</p> Signup and view all the answers

How does Eq. 8, $g = \frac{2d}{t^2}$ relate the variables measured in the experiment?

<p>It relates gravity to drop distance and falling time. (C)</p> Signup and view all the answers

What would be the best way to minimize audio interference for the experiment during set up?

<p>Set up the experiment in an area with less noise. (C)</p> Signup and view all the answers

What variables must be accounted for when writing the experimental measurement of time in Table 1?

<p>The absolute certainty according to the measurement of the standard deviation. (A)</p> Signup and view all the answers

What is the formula for calculating percentage error?

<p>$\text{%error} = \frac{|(\text{computed value})-(\text{standard value})|}{\text{standard value}} \times 100$ (B)</p> Signup and view all the answers

What is the value of g?

<p>9.8 $m/s^{2}$ (B)</p> Signup and view all the answers

Referring to the experiment, what steps would be taken to enhance the accuracy of the experiment?

<p>Conduct multiple trials, manage outside factors, or use more advanced equipment. (A)</p> Signup and view all the answers

Flashcards

Phyphox App

Mobile application used to precisely measure the time it takes for a falling object by leveraging its acoustic feature.

Physics of Falling Objects

The motion of a falling object is described by the laws of motion and gravity.

Newton's Second Law

Net force equals mass times acceleration (F=ma). For falling objects, gravity is the main force.

Acceleration due to Gravity (g)

Acceleration of a falling object due to gravity.

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Kinematic Equations

Equations describing displacement, velocity, and acceleration in motion.

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Displacement Equation

d = v₀t + (1/2)at², where d is displacement, v₀ is initial velocity, t is time, and a is acceleration.

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Acoustic Feature of Phyphox

Measures the time of fall using sound generated by the falling object.

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Phyphox Calibration

The process of setting the Phyphox app to accurately measure time by adjusting the threshold value for sound detection.

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Data Collection Process

Multiple trials are conducted, and measurements are recorded to calculate the average time of fall.

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Standard Deviation

A measure of the spread of a set of values around the mean.

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Measurement with Uncertainty

Expressing the measurement of time with its associated uncertainty, written as t ± σ.

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Study Notes

  • The laboratory activity aims to measure the rate of fall using Phyphox's acoustic features.
  • The experiment utilizes Isaac Newton's laws of motion and the principles of gravity to describe the motion of a falling object.
  • Lab was conducted and written by Julianne Jazmine F. Barrion, Sofia Rovanne M. Cipriano, Marian Jane R. Comendador, Andrea Kate D. Dueñas, Antonio Miguel S. Kuong, Edilro Jascar H. Lamadrid, Jethro Cybil A. Malamug, Angel Gabrielle P. Miso, Gianna Rae G. Monta, Gabrielle Pearl C. Tolosa

Objectives

  • The Phyphox mobile application is used to precisely measure the time it takes for a falling object using its acoustic feature.
  • Data collected, including time and distance measurements, is analyzed to explore the rate of fall.
  • The relationship between time of fall and height is used to calculate the rate of fall.

Introduction

  • The study of falling objects has captivated scientific curiosity, offering insights into physics.
  • The study is designed to harness the Phyphox mobile application to understand motion and gravity.
  • The motivation comes from the importance of measuring and understanding the rate of fall of objects, in physics, real world applications and engineering.
  • This experiment aims to provide an accurate measurement of the time it takes for objects to fall using Phyphox's acoustic feature.
  • It allows the relationship between time and distance to be investigated.
  • The experiment serves as a practical demonstration of physics principles and shows the power of modern technology in hands-on learning.

Physics of Falling Objects

  • In classical physics, the motion of a falling object is described by Isaac Newton's laws of motion and gravity.
  • The net force on an object is equal to its mass multiplied by its acceleration (F = ma), according to Newton's Second Law. (Eq. 2)
  • Near Earth's surface, the only significant force on a falling object is gravity, equal to the mass of the object times the acceleration due to gravity (g).
  • Acceleration of the object is equal to the value of 'g' (F = m * g). (Eq. 1)
  • The force equals the product of mass and acceleration (F = m * a)
  • Therefore m * g = m * a (Eq. 3)
  • By canceling the mass (m) on both sides a = g (Eq. 4)
  • Acceleration of a falling object is equal to the acceleration due to gravity (g).

Kinematic Equations

  • Displacement (d) can be derived as a function of time (t) during free fall using kinematic equations for uniformly accelerated motion.
  • Formula used: d = vâ‚€ * t + (1/2) * a * t² (Eq. 5)
  • Since acceleration (a) is equal to gravity (g): d = vâ‚€ * t + (1/2) * g * t² (Eq. 6)
  • When an object is dropped from rest (vâ‚€ = 0), the equation simplifies to d = (1/2) * g * t². (Eq. 7)
  • The distance fallen is directly proportional to the square of the time elapsed, and the distance is equivalent to height.
  • Primary goal is to solve for the value of g, which can be derived from the equation g = (2d) / t². (Eq. 8)

Acoustic Measurement with Phyphox

  • Phyphox measures the time of fall using its acoustic feature.
  • When an object falls, it generates a unique sound pattern that Phyphox records.
  • Phyphox determines the time elapsed between the release of the object and its impact.
  • By correlating this time with the calculated distance, a connection between acoustic data and physical parameters is established.
  • This bridges the gap between tech & classical physics.

Methodology

  • Materials needed: a smartphone with the Phyphox app, a ruler or measuring tape, and an object to drop.
  • Experimental Procedure:
    • Choose a clear location with less noise.
    • Place your smartphone safely; it will serve as the timing device.
    • Open the Phyphox app and select the "Acoustic Timer" experiment.
    • Set up a ruler or measuring tape vertically where the object will fall.
    • Calibrate the acoustic timer to ensure precise time measurements, the default threshold value is 0.1.
    • Incrementally increase the threshold value if the timer starts prematurely due to background noise.

Data Collection

  • Hold the object at 1.0 meters above the ground, using a tape measure or ruler to verify the height.
  • Place the phone near the setup and press the "Start" button to initiate the acoustic timer in the Phyphox app.
  • Simultaneously release the object while producing a distinct snapping sound (see: https://drive.google.com/file/d/1X4IJ8OIDgJAfhTnk5xUcM5q_u904Ihqj/view?usp=sharing).
  • The Phyphox app measures the elapsed time between the release and impact sounds.
  • The elapsed time is the time it takes for the object to fall.
  • Conduct five trials and record measurements, calculate the average time for each height.
  • Solve for the standard deviation. (Eq. 9)
  • Write the experimental measurement of time by indicating the absolute uncertainty according to the value of the standard deviation in the format t ± σ.
  • Calculate the value of g using the formula Eq. 8 and compare the calculated value with the standard value of 9.8 m/s².

Cause of Error

  • Potential sources of error found were audio interference from surrounding noises triggering the Phyphox app acoustic timer early.
  • Results may be impacted by reaction time differences.
  • Inaccurate measurements can result from inconsistent starting height and measurement problems of the app's acoustic feature.

Accuracy Improvement

  • One can minimize errors by conducting multiple experiment trails.
  • Outside factors should be controlled or managed to minimize interference.
  • Using more advanced equipment could help increase precision.

Realizations

  • Practical application of physics principles using Phyphox and real-world measurements enhances the understanding of free-fall and acceleration due to gravity.
  • The experiment improves our understanding of free fall, showed practical application of technology in physics and uncertainty of error analysis.
  • The experiment showed the integration of technology into scientific experiments.
  • The experiment also showed the relationship between theoretical and modern physics through modern measurement tools.
  • For a data set students got the following:
    • g=9.131
    • %error = 6.83% (Eq. 10)

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