JEE Exam > JEE Questions > A cyclist turns around a curve at 15 miles/ho...
Start Learning for Free
A cyclist turns around a curve at 15 miles/hour. If he turns at double the speed, the tendency to overturn is
- a)Doubled
- b)Quadrupled
- c)Halved
- d)Unchanged
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A cyclist turns around a curve at 15 miles/hour. If he turns at double...
Explanation:
When a cyclist turns around a curve, there are two types of forces acting on the cyclist and the bicycle. These two forces are:
1. Centripetal force: This force acts towards the center of the curve and is responsible for keeping the cyclist and the bicycle moving in a circular path.
2. Centrifugal force: This force acts in the outward direction and is responsible for the tendency of the cyclist and the bicycle to overturn or skid off the curve.
The relationship between the speed of the cyclist and the centrifugal force exerted on him is given by the formula:
F = mv^2 / r
where F is the centrifugal force, m is the mass of the cyclist and the bicycle, v is the speed of the cyclist, and r is the radius of the curve.
Now, let's consider the two scenarios given in the question:
Scenario 1: The cyclist turns around the curve at 15 miles/hour.
Scenario 2: The cyclist turns around the same curve at double the speed, i.e., 30 miles/hour.
In scenario 1, the centrifugal force exerted on the cyclist is:
F1 = mv1^2 / r
where v1 = 15 miles/hour
In scenario 2, the centrifugal force exerted on the cyclist is:
F2 = mv2^2 / r
where v2 = 30 miles/hour
To find the tendency to overturn, we need to compare the two forces, i.e., F2/F1.
F2/F1 = (mv2^2 / r) / (mv1^2 / r)
= (v2/v1)^2
= (30/15)^2
= 4
Therefore, the tendency to overturn is quadrupled when the cyclist turns around the curve at double the speed.
Hence, the correct answer is option B, i.e., quadrupled.
When a cyclist turns around a curve, there are two types of forces acting on the cyclist and the bicycle. These two forces are:
1. Centripetal force: This force acts towards the center of the curve and is responsible for keeping the cyclist and the bicycle moving in a circular path.
2. Centrifugal force: This force acts in the outward direction and is responsible for the tendency of the cyclist and the bicycle to overturn or skid off the curve.
The relationship between the speed of the cyclist and the centrifugal force exerted on him is given by the formula:
F = mv^2 / r
where F is the centrifugal force, m is the mass of the cyclist and the bicycle, v is the speed of the cyclist, and r is the radius of the curve.
Now, let's consider the two scenarios given in the question:
Scenario 1: The cyclist turns around the curve at 15 miles/hour.
Scenario 2: The cyclist turns around the same curve at double the speed, i.e., 30 miles/hour.
In scenario 1, the centrifugal force exerted on the cyclist is:
F1 = mv1^2 / r
where v1 = 15 miles/hour
In scenario 2, the centrifugal force exerted on the cyclist is:
F2 = mv2^2 / r
where v2 = 30 miles/hour
To find the tendency to overturn, we need to compare the two forces, i.e., F2/F1.
F2/F1 = (mv2^2 / r) / (mv1^2 / r)
= (v2/v1)^2
= (30/15)^2
= 4
Therefore, the tendency to overturn is quadrupled when the cyclist turns around the curve at double the speed.
Hence, the correct answer is option B, i.e., quadrupled.
Free Test
FREE
| Start Free Test |
Community Answer
A cyclist turns around a curve at 15 miles/hour. If he turns at double...
This is because μ is directly proportional to v².
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
A cyclist turns around a curve at 15 miles/hour. If he turns at double the speed, the tendency to overturn isa)Doubledb)Quadrupledc)Halvedd)UnchangedCorrect answer is option 'B'. Can you explain this answer?
Question Description
A cyclist turns around a curve at 15 miles/hour. If he turns at double the speed, the tendency to overturn isa)Doubledb)Quadrupledc)Halvedd)UnchangedCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A cyclist turns around a curve at 15 miles/hour. If he turns at double the speed, the tendency to overturn isa)Doubledb)Quadrupledc)Halvedd)UnchangedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cyclist turns around a curve at 15 miles/hour. If he turns at double the speed, the tendency to overturn isa)Doubledb)Quadrupledc)Halvedd)UnchangedCorrect answer is option 'B'. Can you explain this answer?.
A cyclist turns around a curve at 15 miles/hour. If he turns at double the speed, the tendency to overturn isa)Doubledb)Quadrupledc)Halvedd)UnchangedCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A cyclist turns around a curve at 15 miles/hour. If he turns at double the speed, the tendency to overturn isa)Doubledb)Quadrupledc)Halvedd)UnchangedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cyclist turns around a curve at 15 miles/hour. If he turns at double the speed, the tendency to overturn isa)Doubledb)Quadrupledc)Halvedd)UnchangedCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A cyclist turns around a curve at 15 miles/hour. If he turns at double the speed, the tendency to overturn isa)Doubledb)Quadrupledc)Halvedd)UnchangedCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of A cyclist turns around a curve at 15 miles/hour. If he turns at double the speed, the tendency to overturn isa)Doubledb)Quadrupledc)Halvedd)UnchangedCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A cyclist turns around a curve at 15 miles/hour. If he turns at double the speed, the tendency to overturn isa)Doubledb)Quadrupledc)Halvedd)UnchangedCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A cyclist turns around a curve at 15 miles/hour. If he turns at double the speed, the tendency to overturn isa)Doubledb)Quadrupledc)Halvedd)UnchangedCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A cyclist turns around a curve at 15 miles/hour. If he turns at double the speed, the tendency to overturn isa)Doubledb)Quadrupledc)Halvedd)UnchangedCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A cyclist turns around a curve at 15 miles/hour. If he turns at double the speed, the tendency to overturn isa)Doubledb)Quadrupledc)Halvedd)UnchangedCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Suggested Free Tests
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!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup