What is the Constant Angular Velocity of a Watch's Second Hand?

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The constant angular velocity of a second hand is 2π/60 or π/30 radians per second.In summary, the conversation discusses the constant angular velocity of a second hand in a watch. While it logically travels one revolution in one minute, there is also the consideration of angular acceleration. The mistake lies in the formula used to calculate the angular displacement, as it results in a value of 2π/30 radians per second, which is half of the expected value.
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ehabmozart
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omega of the second hand??

Consider a second hand in the watch. What is the constqant angular velocity.
Logicaly, i would say it travels through 1 rev in 1 min so, it is 2∏/60
However, if we look it on the other way, it has angular acceleration
so theta= (w node + w final)/2 * t gives 2∏/30 .. Where is my mistake??
 
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ehabmozart said:
Consider a second hand in the watch. What is the constqant angular velocity.
Logicaly, i would say it travels through 1 rev in 1 min so, it is 2∏/60
OK.
However, if we look it on the other way, it has angular acceleration
What other way? The angular velocity is constant.
so theta= (w node + w final)/2 * t gives 2∏/30 .. Where is my mistake??
What are you solving for? Using this you'll find an angular displacement of 2π radians in 60 seconds.
 

Related to What is the Constant Angular Velocity of a Watch's Second Hand?

1. What is the significance of "Omega of the second hand" in scientific research?

The "Omega of the second hand" is a term used to describe the precision and accuracy of a scientific instrument. It refers to the ability of the second hand to consistently mark off the same amount of time on a clock or other timing device, indicating the reliability of the instrument's measurements.

2. How is the "Omega of the second hand" measured in scientific experiments?

The "Omega of the second hand" is typically measured by comparing the time indicated by the instrument's second hand to a known standard, such as an atomic clock. The difference between the two measurements is then calculated to determine the instrument's level of precision.

3. Can the "Omega of the second hand" vary between different scientific instruments?

Yes, the "Omega of the second hand" can vary between different instruments depending on their design and manufacturing quality. Some instruments may have a higher level of precision and consistency than others, which can affect the accuracy of their measurements.

4. How does the "Omega of the second hand" impact the validity of scientific data?

The "Omega of the second hand" is crucial for ensuring the validity of scientific data. A high level of precision and consistency in timing measurements is necessary for accurate and reliable results. If the "Omega of the second hand" is low, it can introduce errors and inaccuracies into the data.

5. Is there a standard level of "Omega of the second hand" that is considered acceptable in scientific research?

There is no specific standard for the "Omega of the second hand" in scientific research, as it can vary depending on the type of experiment and instrument being used. However, most scientists aim for an "Omega of the second hand" that is as high as possible to ensure the accuracy and reliability of their data.

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