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Mar 4, 2023
•
Centripetal Force for Kids: Fun Examples and Easy Physics
J
Jerish Mae Cortado
@jerishmaecortado_tpkl
Applications of Centripetal Force in Various Scenarios
This page expands on the concept of centripetal force by presenting more complex examples and introducing the idea of motion in a vertical circle.
The page begins with two additional examples of centripetal force calculations:
- A skater moving in a circular path, demonstrating the conversion of weight to mass in imperial units.
- Determining the maximum velocity a car can achieve while rounding a turn, given the maximum force the road can exert on the tires.
Example: For a 160-lb skater moving in a 20 ft radius circle at 10 ft/s, the centripetal force is calculated as 25 lb.
The page then introduces the concept of motion in a vertical circle, which is crucial for understanding tension in vertical circle motion. In this scenario, the tension in the string varies with the object's position due to the influence of gravity.
Highlight: In vertical circular motion, the centripetal force is the vector sum of the tension in the string and the component of the object's weight towards the center of the circle.
Two key equations are presented for the tension at different points in the vertical circle:
- At the top of the circle: T = Fc - w
- At the bottom of the circle: T = Fc + w
Where T is tension, Fc is centripetal force, and w is the object's weight.
An example is provided to illustrate these concepts:
Example: A 1-kg stone is whirled in a vertical circle with a 0.5 m string at 5 m/s. The tension in the string is calculated at both the top and bottom of the circle.
This example demonstrates how the tension varies depending on the position in the vertical circle, providing a practical application of the formulas and concepts introduced.
Advanced Applications of Centripetal Force
This final page delves into a more complex application of centripetal force, demonstrating its relevance in real-world scenarios beyond simple circular motions.
The page presents an example involving an airplane pulling out of a dive, which illustrates the application of centripetal force concepts in aviation:
Example: An airplane pulls out of a dive in a circular arc with a radius of 1200 m at a constant velocity of 200 m/s. The force experienced by the 80-kg pilot at the bottom of the arc is calculated.
This example is particularly interesting as it combines several concepts:
- The use of centripetal force in a large-scale scenario .
- The consideration of the pilot's weight in addition to the centripetal force.
- The application of the formula for tension at the bottom of a circular path .
The solution demonstrates the step-by-step calculation:
- Calculate the centripetal force using Fc = mv²/r
- Add the pilot's weight to the centripetal force
- The result gives the total force experienced by the pilot
Highlight: The total force experienced by the pilot is 3,450.67 N, which is significantly greater than their normal weight due to the centripetal force of the circular motion.
This example serves to illustrate the practical implications of centripetal force in aviation and how it affects the human body during flight maneuvers. It also reinforces the importance of understanding uniform circular motion in physics for real-world applications.
The page concludes the discussion on centripetal force and its applications, tying together the concepts introduced throughout the document and demonstrating their relevance in complex, real-world scenarios.
Centripetal Acceleration and Force in Uniform Circular Motion
This page introduces the concepts of centripetal acceleration and centripetal force in the context of uniform circular motion. It provides fundamental definitions and formulas essential for understanding circular motion in physics.
Definition: Uniform circular motion occurs when a body moves in a circular path at a constant speed.
Although the speed remains constant, the velocity changes direction continuously, resulting in acceleration. This acceleration, known as centripetal acceleration, is directed towards the center of the circle.
Vocabulary: Centripetal acceleration is the acceleration experienced by an object moving in a circular path, always pointing towards the center of the circle.
The formula for centripetal acceleration is given as:
Highlight: Centripetal acceleration = ² / radius of circular path
Centripetal force is the force required to keep an object moving in a circular path. Its magnitude is calculated using the formula:
Highlight: Centripetal force = mv² / r, where m is mass, v is velocity, and r is the radius of the circular path.
The page includes two examples demonstrating centripetal force calculation examples. In the first example, a ball whirled on a string illustrates the calculation of centripetal acceleration. The second example involves a car rounding a turn, showcasing how to determine the required centripetal force.
Example: A 1000-kg car rounds a turn of radius 30 m at a velocity of 9 m/s. The centripetal force required is calculated as F = mv²/r = ² / 30 m = 2700 N.
These examples help solidify the understanding of uniform circular motion in physics and provide practical applications of the formulas introduced.
Can't find what you're looking for? Explore other subjects.
Students love us — and so will you.
4.9/5
App Store
4.8/5
Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
Centripetal Force for Kids: Fun Examples and Easy Physics
J
Jerish Mae Cortado
@jerishmaecortado_tpkl
Centripetal force and uniform circular motion are key concepts in physics, explaining how objects move in circular paths. This summary covers the principles of centripetal acceleration, centripetal force calculations, and their applications in various scenarios including horizontal and vertical circular... Show more
Applications of Centripetal Force in Various Scenarios
This page expands on the concept of centripetal force by presenting more complex examples and introducing the idea of motion in a vertical circle.
The page begins with two additional examples of centripetal force calculations:
- A skater moving in a circular path, demonstrating the conversion of weight to mass in imperial units.
- Determining the maximum velocity a car can achieve while rounding a turn, given the maximum force the road can exert on the tires.
Example: For a 160-lb skater moving in a 20 ft radius circle at 10 ft/s, the centripetal force is calculated as 25 lb.
The page then introduces the concept of motion in a vertical circle, which is crucial for understanding tension in vertical circle motion. In this scenario, the tension in the string varies with the object's position due to the influence of gravity.
Highlight: In vertical circular motion, the centripetal force is the vector sum of the tension in the string and the component of the object's weight towards the center of the circle.
Two key equations are presented for the tension at different points in the vertical circle:
- At the top of the circle: T = Fc - w
- At the bottom of the circle: T = Fc + w
Where T is tension, Fc is centripetal force, and w is the object's weight.
An example is provided to illustrate these concepts:
Example: A 1-kg stone is whirled in a vertical circle with a 0.5 m string at 5 m/s. The tension in the string is calculated at both the top and bottom of the circle.
This example demonstrates how the tension varies depending on the position in the vertical circle, providing a practical application of the formulas and concepts introduced.
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Advanced Applications of Centripetal Force
This final page delves into a more complex application of centripetal force, demonstrating its relevance in real-world scenarios beyond simple circular motions.
The page presents an example involving an airplane pulling out of a dive, which illustrates the application of centripetal force concepts in aviation:
Example: An airplane pulls out of a dive in a circular arc with a radius of 1200 m at a constant velocity of 200 m/s. The force experienced by the 80-kg pilot at the bottom of the arc is calculated.
This example is particularly interesting as it combines several concepts:
- The use of centripetal force in a large-scale scenario .
- The consideration of the pilot's weight in addition to the centripetal force.
- The application of the formula for tension at the bottom of a circular path .
The solution demonstrates the step-by-step calculation:
- Calculate the centripetal force using Fc = mv²/r
- Add the pilot's weight to the centripetal force
- The result gives the total force experienced by the pilot
Highlight: The total force experienced by the pilot is 3,450.67 N, which is significantly greater than their normal weight due to the centripetal force of the circular motion.
This example serves to illustrate the practical implications of centripetal force in aviation and how it affects the human body during flight maneuvers. It also reinforces the importance of understanding uniform circular motion in physics for real-world applications.
The page concludes the discussion on centripetal force and its applications, tying together the concepts introduced throughout the document and demonstrating their relevance in complex, real-world scenarios.
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Centripetal Acceleration and Force in Uniform Circular Motion
This page introduces the concepts of centripetal acceleration and centripetal force in the context of uniform circular motion. It provides fundamental definitions and formulas essential for understanding circular motion in physics.
Definition: Uniform circular motion occurs when a body moves in a circular path at a constant speed.
Although the speed remains constant, the velocity changes direction continuously, resulting in acceleration. This acceleration, known as centripetal acceleration, is directed towards the center of the circle.
Vocabulary: Centripetal acceleration is the acceleration experienced by an object moving in a circular path, always pointing towards the center of the circle.
The formula for centripetal acceleration is given as:
Highlight: Centripetal acceleration = ² / radius of circular path
Centripetal force is the force required to keep an object moving in a circular path. Its magnitude is calculated using the formula:
Highlight: Centripetal force = mv² / r, where m is mass, v is velocity, and r is the radius of the circular path.
The page includes two examples demonstrating centripetal force calculation examples. In the first example, a ball whirled on a string illustrates the calculation of centripetal acceleration. The second example involves a car rounding a turn, showcasing how to determine the required centripetal force.
Example: A 1000-kg car rounds a turn of radius 30 m at a velocity of 9 m/s. The centripetal force required is calculated as F = mv²/r = ² / 30 m = 2700 N.
These examples help solidify the understanding of uniform circular motion in physics and provide practical applications of the formulas introduced.
Can't find what you're looking for? Explore other subjects.
Students love us — and so will you.
4.9/5
App Store
4.8/5
Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user