Simple Op Amp design for free fall

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SUMMARY

The discussion focuses on designing a simple operational amplifier (Op Amp) circuit to calculate the position of a falling body as a function of time, utilizing the equation y = y_0 + 1/2gt^2. The initial attempt involved using an integrator Op Amp with a triangle wave input, but it was noted that this method only works intermittently. To achieve a consistent solution, the inclusion of a non-linear element, such as a diode or transistor junction, is necessary, along with researching Op Amp multipliers or log converters.

PREREQUISITES
  • Understanding of operational amplifier (Op Amp) circuits
  • Knowledge of integrator circuit design
  • Familiarity with non-linear components like diodes and transistors
  • Basic physics of free fall and kinematic equations
NEXT STEPS
  • Research Op Amp multiplier circuits for non-linear signal processing
  • Study the design and application of Op Amp log converters
  • Explore the implementation of reset mechanisms in Op Amp circuits
  • Investigate advanced integrator designs for improved accuracy
USEFUL FOR

Electronics students, circuit designers, and engineers interested in applying operational amplifier techniques to solve physics-related problems, particularly in motion analysis.

CalcYouLater
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Homework Statement


Design a simple Op Amp circuit to find the position as a function of time of a falling body


Homework Equations



y=y_0+1/2gt^2

Assume y_0 = 0 at t=0


The Attempt at a Solution



I used an integrator Op Amp with a triangle wave input. I chose the values of the resistor and capacitor so that their product = 2.

This answer only seems to work part of the time. How can I design a simple circuit that is valid for all times?
 
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CalcYouLater said:

Homework Statement


Design a simple Op Amp circuit to find the position as a function of time of a falling body


Homework Equations



y=y_0+1/2gt^2

Assume y_0 = 0 at t=0


The Attempt at a Solution



I used an integrator Op Amp with a triangle wave input. I chose the values of the resistor and capacitor so that their product = 2.

This answer only seems to work part of the time. How can I design a simple circuit that is valid for all times?

To get the t^2 term, you need a non-linear element in the opamp circuit (diode or transistor junction). You can look up "opamp multiplier" or "opamp log converter" to get you farther. You will also need a reset button...
 

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