Vector Displacement: Tip of Minute Hand 8:00-8:20 & 8:00-9:00

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SUMMARY

The displacement vector of the tip of a 2.0 cm minute hand from 8:00 to 8:20 is calculated using the angle covered in that time frame. At 8:20, the minute hand has moved 120 degrees, resulting in a displacement of approximately 1.8 cm at an angle of 60 degrees from the vertical. From 8:00 to 9:00, the minute hand completes a full rotation of 360 degrees, yielding a displacement of 0 cm, as it returns to the original position. Proper attention to significant figures is crucial in these calculations.

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  • Understanding of vector displacement
  • Basic knowledge of circular motion
  • Familiarity with trigonometric functions
  • Ability to calculate angles in degrees
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  • Study vector addition and subtraction in physics
  • Learn about angular displacement and its applications
  • Explore trigonometric functions related to circular motion
  • Review significant figures and their importance in scientific calculations
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Students studying physics, particularly those focusing on kinematics and vector analysis, as well as educators looking for examples of practical applications of displacement vectors.

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Homework Statement


The minute hand on a watch is 2.0cm in length. What is the displacement vector of the tip of the minute hand:
a. from 8:00 to 8:20
b. From 8:00 to 9:00


Homework Equations




The Attempt at a Solution


I keep getting that the displacement is 1.8,2.8, but the program we have to put it in for class it keeps frickin saying "Almost... blah blah blah some crap about checkin sig figs.
 
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I keep getting that the displacement is 1.8,2.8...
How are you arriving at these results?
 
A displacement vector consists of a magnitude and direction.

In other words, after 20 minutes, how far did the tip of the minute hand move and in what direction?
 

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