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

AI Thread Summary
To calculate the speed of the clock's second hand, the circumference of the circle it sweeps can be determined using the formula C = 2πr, where r is the length of the second hand (2.0 cm). This results in a circumference of approximately 12.57 cm, which represents the distance traveled in one minute. To find the speed in meters per second, convert the distance to meters and divide by the time in seconds; thus, the speed is about 0.21 m/s. Velocity, being a vector quantity, would depend on the direction of the second hand's movement at the 6 o'clock position. Understanding these calculations is essential for solving the problem accurately.
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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