Rotational Acceleration of a Physical Pendulum

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Equation / Last modified by Administrator on 2017/11/28 07:05
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Billy.Rotational Acceleration of a Physical Pendulum
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20ce298b-abea-11e4-a9fb-bc764e2038f2

The Rotational Acceleration of a Physical Pendulum calculator approximates the rotational acceleration of a physical pendulum based on the mass (m), acceleration due to gravity (g), distance to the center of gravity (d), impulse (I) and the angle (Θ).

INSTRUCTIONS: Choose the preferred units and enter the following:

  • (m)  This is the mass.
  • (d)  This is the distance to the center of gravity.
  • (Θ) This is the angle of displacement.
  • (I) This is the inertia.

Rotational Acceleration: The calculator returns the acceleration in radians per second squared (rad/s2).  However this can be automatically converted to compatible units via the pull-down menu.

The Math / Science

The Rotational Acceleration of a Physical Pendulum equation calculates the rotational acceleration of the physical pendulum given that θ is small. This is because sinθ is approximately θ. So this equation will give the approximate rotational acceleration given that the angle is small.

References

Young, Hugh and Freeman, Roger.  University Physics With Modern Physics.  Addison-Wesley, 2008. 12th Edition, (ISBN-13: 978-0321500625 ISBN-10: 0321500628 ) Pg 438, eq 13.37