Calculating Altitude Using a Pendulum: A Simple Guide

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    Altitude Pendulum
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SUMMARY

This discussion focuses on calculating altitude using a pendulum by measuring the period of oscillation. The key formula involved is T=2π√(l/g), where T is the period, l is the length of the pendulum, and g is the acceleration due to gravity. The formula for g at a height h above the Earth's surface is given by g=GM_E/(R_E+h)², where M_E is the mass of the Earth and R_E is the average radius of the Earth. Understanding these formulas allows for the determination of altitude based on pendulum measurements.

PREREQUISITES
  • Understanding of pendulum motion and its period calculation
  • Familiarity with gravitational acceleration and its dependence on altitude
  • Basic knowledge of Earth's physical parameters, including mass and radius
  • Ability to manipulate and rearrange algebraic formulas
NEXT STEPS
  • Research the derivation of the pendulum period formula T=2π√(l/g)
  • Explore the concept of gravitational acceleration variation with altitude
  • Study the calculation of the average radius of the Earth and its significance
  • Investigate practical applications of pendulum-based altitude measurement
USEFUL FOR

Students in physics, educators teaching mechanics, and hobbyists interested in experimental physics and altitude measurement techniques.

sebasalekhine7
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How can I measure altitude depending on the period of a pendulum? I know I have to calculate the value for g but I don't know how exactly altitude could be calculated.
 
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Within "human limits",'g' is very weakly dependent upon altitude,but certainly,in principle,one can measure its values using a pendulum...

T=2\pi \sqrt{\frac{l}{g}}

g=\frac{GM_{E}}{(\bar{R}_{E}+h)^{2}}

Daniel.
 
Sorry, but can you explain what the second formula means?
 
That is the acceleration of a body at height "h" about the surface of the Earth,due to Earths gravity...I'm sure it's not the first time u saw it...

Daniel.
 
what is \bar{R}_{E} ?
 
The Average Radius of the Earth...??You know the one which you can compute,if you know the polar & equatorial radius and a bit of geometry.

Daniel.
 

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