How Do You Calculate the Speed and Velocity of a Clock's Second Hand?

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SUMMARY

The speed and velocity of a clock's second hand can be calculated using its length of 2.0 cm. The circumference of the circle traced by the second hand is 2πr, which equals approximately 12.57 cm. Since the second hand completes one full rotation in 60 seconds, the speed at the 6 o'clock position is 12.57 cm/60 s, resulting in a speed of approximately 0.2095 m/s. The velocity, being a vector quantity, is direction-dependent and at the 6 o'clock position is directed horizontally to the left.

PREREQUISITES
  • Understanding of circular motion and its properties
  • Familiarity with basic geometry, specifically circumference calculation
  • Knowledge of speed and velocity definitions
  • Ability to convert units (cm to m)
NEXT STEPS
  • Learn about angular velocity and its relationship to linear speed
  • Study the concept of centripetal acceleration in circular motion
  • Explore the differences between scalar and vector quantities
  • Investigate real-world applications of circular motion in engineering
USEFUL FOR

Students studying physics, educators teaching circular motion concepts, and anyone interested in the mechanics of timekeeping devices.

phizics09
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Homework Statement



The sweep second hand of a clock has a length of 2.0 cm.

Homework Equations



a) What is the speed of the sweep second hand tip at the 6 o'clock position?
b) What is the velocity of the sweep second hand tip at the 6 o'clock position?

The Attempt at a Solution


I don't really understand how to use 2.0 cm to solve the problem. Do you figure out the length it takes for the second hand to reach 6 o'clock and divided 2.0 cm by the answer?
 
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phizics09 said:

Homework Statement



The sweep second hand of a clock has a length of 2.0 cm.

Homework Equations



a) What is the speed of the sweep second hand tip at the 6 o'clock position?
b) What is the velocity of the sweep second hand tip at the 6 o'clock position?

The Attempt at a Solution


I don't really understand how to use 2.0 cm to solve the problem. Do you figure out the length it takes for the second hand to reach 6 o'clock and divided 2.0 cm by the answer?

In one minute, the tip of the hand will sweep out a circle of radius 2 cm. What is the circumference of that circle? What speed in m/s does this motion thus represent?
 

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