JEE Exam > JEE Questions > A cyclist turns around a curve at 15 miles pe...
Start Learning for Free
A cyclist turns around a curve at 15 miles per hour. If he turns at double the speed, the tendency of 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 per hour. If he turns at do...
Explanation:
When a cyclist turns around a curve, the centrifugal force comes into play. The centrifugal force is the force that pushes the cyclist away from the center of the curve. It depends on two factors: the speed of the cyclist and the radius of the curve.
Centrifugal force formula:
F = mv^2 / r
Where:
F = Centrifugal force
m = Mass of the cyclist
v = Velocity of the cyclist
r = Radius of the curve
Initial scenario:
In the initial scenario, the cyclist is turning at a speed of 15 miles per hour. Let's assume the radius of the curve is 'r'. Therefore, the centrifugal force acting on the cyclist is:
F1 = mv^2 / r
Doubled speed scenario:
In the doubled speed scenario, the cyclist is turning at a speed of 30 miles per hour. The centrifugal force in this case is given by:
F2 = mv^2 / r
Comparing the two scenarios, we can see that the mass of the cyclist and the radius of the curve are constant. The only difference is the velocity of the cyclist.
Calculating the ratio of the two centrifugal forces:
To calculate the ratio of the two centrifugal forces, we can divide F2 by F1:
F2 / F1 = (mv^2 / r) / (mv^2 / r)
F2 / F1 = 1
The ratio of the two centrifugal forces is equal to 1, which means they are equal. Therefore, the tendency of overturn remains unchanged when the cyclist turns at double the speed.
However, it is important to note that the actual danger of overturning depends on various factors, such as the skill of the cyclist, the condition of the road, and the friction between the tires and the road surface. It is always recommended to exercise caution when turning at high speeds to avoid accidents.
When a cyclist turns around a curve, the centrifugal force comes into play. The centrifugal force is the force that pushes the cyclist away from the center of the curve. It depends on two factors: the speed of the cyclist and the radius of the curve.
Centrifugal force formula:
F = mv^2 / r
Where:
F = Centrifugal force
m = Mass of the cyclist
v = Velocity of the cyclist
r = Radius of the curve
Initial scenario:
In the initial scenario, the cyclist is turning at a speed of 15 miles per hour. Let's assume the radius of the curve is 'r'. Therefore, the centrifugal force acting on the cyclist is:
F1 = mv^2 / r
Doubled speed scenario:
In the doubled speed scenario, the cyclist is turning at a speed of 30 miles per hour. The centrifugal force in this case is given by:
F2 = mv^2 / r
Comparing the two scenarios, we can see that the mass of the cyclist and the radius of the curve are constant. The only difference is the velocity of the cyclist.
Calculating the ratio of the two centrifugal forces:
To calculate the ratio of the two centrifugal forces, we can divide F2 by F1:
F2 / F1 = (mv^2 / r) / (mv^2 / r)
F2 / F1 = 1
The ratio of the two centrifugal forces is equal to 1, which means they are equal. Therefore, the tendency of overturn remains unchanged when the cyclist turns at double the speed.
However, it is important to note that the actual danger of overturning depends on various factors, such as the skill of the cyclist, the condition of the road, and the friction between the tires and the road surface. It is always recommended to exercise caution when turning at high speeds to avoid accidents.
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 per hour. If he turns at double the speed, the tendency of 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 per hour. If he turns at double the speed, the tendency of 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 per hour. If he turns at double the speed, the tendency of 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 per hour. If he turns at double the speed, the tendency of overturn isa)doubledb)quadrupledc)halvedd)unchangedCorrect answer is option 'B'. Can you explain this answer?.
A cyclist turns around a curve at 15 miles per hour. If he turns at double the speed, the tendency of 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 per hour. If he turns at double the speed, the tendency of 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 per hour. If he turns at double the speed, the tendency of 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 per hour. If he turns at double the speed, the tendency of 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 per hour. If he turns at double the speed, the tendency of 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 per hour. If he turns at double the speed, the tendency of 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 per hour. If he turns at double the speed, the tendency of 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 per hour. If he turns at double the speed, the tendency of 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 per hour. If he turns at double the speed, the tendency of 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