Thank you for visiting What is the angular speed of a the second hand b the minute hand and c the hour hand of a smoothly running analog watch. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
(a) Second hand: [tex]\( \frac{2\pi}{60} \)[/tex] rad/s. (b) Minute hand: [tex]\( \frac{2\pi}{3600} \)[/tex] rad/s. (c) Hour hand: [tex]\( \frac{2\pi}{43200} \)[/tex] rad/s.
The angular speed of each hand on a smoothly running analog watch depends on the timekeeping mechanism of the watch and the length of the hands.
(a) The second hand completes one full rotation (360 degrees) every 60 seconds. To find its angular speed in radians per second, we need to convert revolutions per minute to radians per second. Since there are [tex]\(2\pi\)[/tex] radians in one revolution, the angular speed of the second hand would be:
[tex]\[\text{Angular speed of second hand} = \frac{2\pi}{60} \text{ radians/second}\][/tex]
(b) The minute hand completes one full rotation every 60 minutes. Similar to the second hand, we can find its angular speed in radians per second:
[tex]\[\text{Angular speed of minute hand} = \frac{2\pi}{3600} \text{ radians/second}\][/tex]
(c) The hour hand completes one full rotation every 12 hours. So, its angular speed in radians per second would be:
[tex]\[\text{Angular speed of hour hand} = \frac{2\pi}{43200} \text{ radians/second}\][/tex]
These calculations assume that the watch has perfect timekeeping and the hands move continuously without any interruption .
Thank you for reading the article What is the angular speed of a the second hand b the minute hand and c the hour hand of a smoothly running analog watch. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
- You are operating a recreational vessel less than 39 4 feet long on federally controlled waters Which of the following is a legal sound device
- Which step should a food worker complete to prevent cross contact when preparing and serving an allergen free meal A Clean and sanitize all surfaces
- For one month Siera calculated her hometown s average high temperature in degrees Fahrenheit She wants to convert that temperature from degrees Fahrenheit to degrees
Rewritten by : Jeany
