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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?
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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...
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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?
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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?.
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