Class 11 Exam > Class 11 Questions > A body moving along a circular path of radius...
Start Learning for Free
A body moving along a circular path of radius R with velocity v, has centripetal acceleration a, if it's velocity is made equal to 2v, then it's centripetal acceleration is 1) 4a 2) 2a 3) a/4 4) a/2?
Most Upvoted Answer
A body moving along a circular path of radius R with velocity v, has c...
Solution:
Given:
To Find:
Centripetal acceleration when the velocity of the body is made equal to 2v
Formula:
Centripetal acceleration, a = v^2/R
Explanation:
When a body moves along a circular path, it experiences a centripetal force that keeps it moving in the circular path. The centripetal force causes the body to experience a centripetal acceleration towards the center of the circle.
When the velocity of the body is doubled, the centripetal force required to keep it moving in the circular path also increases. This is because the centripetal force is directly proportional to the square of the velocity of the body.
Given that the initial velocity of the body is v, the new velocity when it is made equal to 2v is 2v.
Using the formula for centripetal acceleration, we can find the new centripetal acceleration when the velocity is 2v.
New centripetal acceleration, a' = (2v)^2/R
a' = 4v^2/R
Therefore, the new centripetal acceleration is 4 times the initial centripetal acceleration.
Answer:
The centripetal acceleration of the body when its velocity is made equal to 2v is 4a. Therefore, the correct option is (1) 4a.
Given:
- Radius of the circular path, R
- Velocity of the body, v
- Centripetal acceleration, a
To Find:
Centripetal acceleration when the velocity of the body is made equal to 2v
Formula:
Centripetal acceleration, a = v^2/R
Explanation:
When a body moves along a circular path, it experiences a centripetal force that keeps it moving in the circular path. The centripetal force causes the body to experience a centripetal acceleration towards the center of the circle.
When the velocity of the body is doubled, the centripetal force required to keep it moving in the circular path also increases. This is because the centripetal force is directly proportional to the square of the velocity of the body.
Step 1: Find the new velocity
Given that the initial velocity of the body is v, the new velocity when it is made equal to 2v is 2v.
Step 2: Find the new centripetal acceleration
Using the formula for centripetal acceleration, we can find the new centripetal acceleration when the velocity is 2v.
New centripetal acceleration, a' = (2v)^2/R
a' = 4v^2/R
Therefore, the new centripetal acceleration is 4 times the initial centripetal acceleration.
Answer:
The centripetal acceleration of the body when its velocity is made equal to 2v is 4a. Therefore, the correct option is (1) 4a.
Community Answer
A body moving along a circular path of radius R with velocity v, has c...
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
Explore Courses for Class 11 exam
|
|
Similar Class 11 Doubts
Top Courses for Class 11View all
A body moving along a circular path of radius R with velocity v, has centripetal acceleration a, if it's velocity is made equal to 2v, then it's centripetal acceleration is 1) 4a 2) 2a 3) a/4 4) a/2?
Question Description
A body moving along a circular path of radius R with velocity v, has centripetal acceleration a, if it's velocity is made equal to 2v, then it's centripetal acceleration is 1) 4a 2) 2a 3) a/4 4) a/2? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A body moving along a circular path of radius R with velocity v, has centripetal acceleration a, if it's velocity is made equal to 2v, then it's centripetal acceleration is 1) 4a 2) 2a 3) a/4 4) a/2? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body moving along a circular path of radius R with velocity v, has centripetal acceleration a, if it's velocity is made equal to 2v, then it's centripetal acceleration is 1) 4a 2) 2a 3) a/4 4) a/2?.
A body moving along a circular path of radius R with velocity v, has centripetal acceleration a, if it's velocity is made equal to 2v, then it's centripetal acceleration is 1) 4a 2) 2a 3) a/4 4) a/2? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A body moving along a circular path of radius R with velocity v, has centripetal acceleration a, if it's velocity is made equal to 2v, then it's centripetal acceleration is 1) 4a 2) 2a 3) a/4 4) a/2? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body moving along a circular path of radius R with velocity v, has centripetal acceleration a, if it's velocity is made equal to 2v, then it's centripetal acceleration is 1) 4a 2) 2a 3) a/4 4) a/2?.
Solutions for A body moving along a circular path of radius R with velocity v, has centripetal acceleration a, if it's velocity is made equal to 2v, then it's centripetal acceleration is 1) 4a 2) 2a 3) a/4 4) a/2? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of A body moving along a circular path of radius R with velocity v, has centripetal acceleration a, if it's velocity is made equal to 2v, then it's centripetal acceleration is 1) 4a 2) 2a 3) a/4 4) a/2? defined & explained in the simplest way possible. Besides giving the explanation of
A body moving along a circular path of radius R with velocity v, has centripetal acceleration a, if it's velocity is made equal to 2v, then it's centripetal acceleration is 1) 4a 2) 2a 3) a/4 4) a/2?, a detailed solution for A body moving along a circular path of radius R with velocity v, has centripetal acceleration a, if it's velocity is made equal to 2v, then it's centripetal acceleration is 1) 4a 2) 2a 3) a/4 4) a/2? has been provided alongside types of A body moving along a circular path of radius R with velocity v, has centripetal acceleration a, if it's velocity is made equal to 2v, then it's centripetal acceleration is 1) 4a 2) 2a 3) a/4 4) a/2? theory, EduRev gives you an
ample number of questions to practice A body moving along a circular path of radius R with velocity v, has centripetal acceleration a, if it's velocity is made equal to 2v, then it's centripetal acceleration is 1) 4a 2) 2a 3) a/4 4) a/2? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup