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Calculating Gravity Using a Bouncy Ball Equation and Calculator

Engineering Physics

Method for Calculating Acceleration of Gravity Using a Bouncy Ball Equation and Calculator

Using a ball that bounces and a stopwatch method.

Using a ball that bounces and a stopwatch method.

g = (8h0c2) / Tx2 [ ( 1 - cx ) / ( 1 - c ) ]2

c = [ h1 / h0 ](1/2)

Where:

h0 = Height of drop (ft, m),
h1 = Height of FIRST bouce of ball (ft, m),
Tx = Time for x bounces, (sec),
x = Number of bounces,
g = Acceleration measured (ft/sec2, m/sec2)

Standard gravity at sea level:

9.80665 m/sec2
32.17404855643 ft/sec2

Reference (Derived From):

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Listening to the coefficient of restitution and the gravitational acceleration of a bouncing ball

C. E. Aguiara) and F. Laudaresb)
Instituto de Fı´sica, Universidade Federal do Rio de Janeiro
Brazil


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