Calc Angular Momentum: Hour & Minute Hand of a Clock

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SUMMARY

The discussion focuses on calculating the angular momentum of the hour and minute hands of a clock, which are 2.7m and 4.5m long with masses of 60kg and 100kg, respectively. The correct formula for moment of inertia, I = mr², is essential for these calculations. Angular velocity is determined by dividing angular displacement in radians by the time for one full rotation in seconds. The participants confirm that the calculations for angular momentum are accurate when these formulas are applied correctly.

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  • Understanding of angular momentum and its significance in physics
  • Familiarity with the moment of inertia formula, I = mr²
  • Knowledge of angular velocity and its calculation
  • Basic grasp of rotational motion concepts
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  • Study the derivation and applications of the moment of inertia in various shapes
  • Learn about angular velocity and its role in rotational dynamics
  • Explore real-world applications of angular momentum in engineering and physics
  • Investigate the effects of mass distribution on moment of inertia
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Physics students, mechanical engineers, and anyone interested in the principles of rotational dynamics and angular momentum calculations.

UrbanXrisis
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The hour and minute hand of a clock are 2.7m and 4.5m long and have masses of 60kg and 100kg, respectively. I need to calculate the angular momentum of both the hour hand and the minute hand. My work is http://home.earthlink.net/~urban-xrisis/clip002.jpg

is my work correct?
 
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Nope,you need to use the correct form of the moment of inertia...

Daniel.
 


Yes, your work appears to be correct. To calculate the angular momentum of an object, you need to know its moment of inertia, angular velocity, and angular displacement. In this case, the moment of inertia can be calculated using the formula I = mr^2, where m is the mass and r is the distance from the axis of rotation. The angular velocity can be calculated by dividing the angular displacement (in radians) by the time it takes for one full rotation (in seconds). Using these values, you correctly calculated the angular momentum of both the hour and minute hand.
 

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