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In a bicycle the radius of rear wheel is twice radius of front wheel. If Rf and Rr are the radii, Vf and Vr are speeds at topmost points of the wheel, then: 1. Vr =2Vf 2. Vf=2Vr 3. Vf=Vr 4. Vf greater than Vr Answer is 3. Can someone pls explain how? I thought that angular velocity remains a constant in rotational motion of a system, but here, its oppsite, linear velocity is a constant and ang. velocity varies. Pls resolve this confusion also?
Verified Answer
In a bicycle the radius of rear wheel is twice radius of front wheel. ...
Answer:
vF = vr
Step-by-Step Explanation:
Given : rr = 2 x rF
Vr & VF are speed at topmost point wheels.
Their angular speeds are different but linear speed will remain same
vr = vF
#Correction in question : If rF and rr are the radius, vF and vr are speed of top most points of wheel .
vF = vr
Step-by-Step Explanation:
Given : rr = 2 x rF
Vr & VF are speed at topmost point wheels.
Their angular speeds are different but linear speed will remain same
vr = vF
#Correction in question : If rF and rr are the radius, vF and vr are speed of top most points of wheel .
This question is part of UPSC exam. View all JEE courses
Most Upvoted Answer
In a bicycle the radius of rear wheel is twice radius of front wheel. ...
Understanding the Problem:
We are given that the radius of the rear wheel is twice the radius of the front wheel. Let's assume the radius of the front wheel as Rf and the radius of the rear wheel as Rr. We are also given the speeds at the topmost points of both wheels as Vf and Vr respectively.
Explanation:
When a bicycle is in motion, the wheels rotate about their respective axes. The linear velocity of a point on the wheel's circumference (such as the topmost point) is given by the formula:
V = ω * r
Where V is the linear velocity, ω is the angular velocity, and r is the radius of the wheel.
Now, let's analyze the given options one by one:
1. Vr = 2Vf:
If this were true, it would mean that the linear velocity at the topmost point of the rear wheel is twice the linear velocity at the topmost point of the front wheel. However, this contradicts our assumption that the radius of the rear wheel is twice the radius of the front wheel. Therefore, this option is incorrect.
2. Vf = 2Vr:
This option states that the linear velocity at the topmost point of the front wheel is twice the linear velocity at the topmost point of the rear wheel. Similarly to option 1, this contradicts our assumption and is therefore incorrect.
3. Vf = Vr:
This option suggests that the linear velocities at the topmost points of both wheels are equal. This is indeed true. Since the radius of the rear wheel is twice the radius of the front wheel, the linear velocity at the topmost point of the rear wheel needs to be half of the linear velocity at the topmost point of the front wheel in order to maintain the same angular velocity. Therefore, this option is correct.
4. Vf > Vr:
This option states that the linear velocity at the topmost point of the front wheel is greater than the linear velocity at the topmost point of the rear wheel. However, as explained above, the linear velocities at these points are actually equal. Therefore, this option is incorrect.
Conclusion:
The correct option is 3. Vf = Vr, as the linear velocities at the topmost points of both wheels are equal.
We are given that the radius of the rear wheel is twice the radius of the front wheel. Let's assume the radius of the front wheel as Rf and the radius of the rear wheel as Rr. We are also given the speeds at the topmost points of both wheels as Vf and Vr respectively.
Explanation:
When a bicycle is in motion, the wheels rotate about their respective axes. The linear velocity of a point on the wheel's circumference (such as the topmost point) is given by the formula:
V = ω * r
Where V is the linear velocity, ω is the angular velocity, and r is the radius of the wheel.
Now, let's analyze the given options one by one:
1. Vr = 2Vf:
If this were true, it would mean that the linear velocity at the topmost point of the rear wheel is twice the linear velocity at the topmost point of the front wheel. However, this contradicts our assumption that the radius of the rear wheel is twice the radius of the front wheel. Therefore, this option is incorrect.
2. Vf = 2Vr:
This option states that the linear velocity at the topmost point of the front wheel is twice the linear velocity at the topmost point of the rear wheel. Similarly to option 1, this contradicts our assumption and is therefore incorrect.
3. Vf = Vr:
This option suggests that the linear velocities at the topmost points of both wheels are equal. This is indeed true. Since the radius of the rear wheel is twice the radius of the front wheel, the linear velocity at the topmost point of the rear wheel needs to be half of the linear velocity at the topmost point of the front wheel in order to maintain the same angular velocity. Therefore, this option is correct.
4. Vf > Vr:
This option states that the linear velocity at the topmost point of the front wheel is greater than the linear velocity at the topmost point of the rear wheel. However, as explained above, the linear velocities at these points are actually equal. Therefore, this option is incorrect.
Conclusion:
The correct option is 3. Vf = Vr, as the linear velocities at the topmost points of both wheels are equal.
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In a bicycle the radius of rear wheel is twice radius of front wheel. If Rf and Rr are the radii, Vf and Vr are speeds at topmost points of the wheel, then: 1. Vr =2Vf 2. Vf=2Vr 3. Vf=Vr 4. Vf greater than Vr Answer is 3. Can someone pls explain how? I thought that angular velocity remains a constant in rotational motion of a system, but here, its oppsite, linear velocity is a constant and ang. velocity varies. Pls resolve this confusion also?
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In a bicycle the radius of rear wheel is twice radius of front wheel. If Rf and Rr are the radii, Vf and Vr are speeds at topmost points of the wheel, then: 1. Vr =2Vf 2. Vf=2Vr 3. Vf=Vr 4. Vf greater than Vr Answer is 3. Can someone pls explain how? I thought that angular velocity remains a constant in rotational motion of a system, but here, its oppsite, linear velocity is a constant and ang. velocity varies. Pls resolve this confusion also? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In a bicycle the radius of rear wheel is twice radius of front wheel. If Rf and Rr are the radii, Vf and Vr are speeds at topmost points of the wheel, then: 1. Vr =2Vf 2. Vf=2Vr 3. Vf=Vr 4. Vf greater than Vr Answer is 3. Can someone pls explain how? I thought that angular velocity remains a constant in rotational motion of a system, but here, its oppsite, linear velocity is a constant and ang. velocity varies. Pls resolve this confusion also? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a bicycle the radius of rear wheel is twice radius of front wheel. If Rf and Rr are the radii, Vf and Vr are speeds at topmost points of the wheel, then: 1. Vr =2Vf 2. Vf=2Vr 3. Vf=Vr 4. Vf greater than Vr Answer is 3. Can someone pls explain how? I thought that angular velocity remains a constant in rotational motion of a system, but here, its oppsite, linear velocity is a constant and ang. velocity varies. Pls resolve this confusion also?.
In a bicycle the radius of rear wheel is twice radius of front wheel. If Rf and Rr are the radii, Vf and Vr are speeds at topmost points of the wheel, then: 1. Vr =2Vf 2. Vf=2Vr 3. Vf=Vr 4. Vf greater than Vr Answer is 3. Can someone pls explain how? I thought that angular velocity remains a constant in rotational motion of a system, but here, its oppsite, linear velocity is a constant and ang. velocity varies. Pls resolve this confusion also? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In a bicycle the radius of rear wheel is twice radius of front wheel. If Rf and Rr are the radii, Vf and Vr are speeds at topmost points of the wheel, then: 1. Vr =2Vf 2. Vf=2Vr 3. Vf=Vr 4. Vf greater than Vr Answer is 3. Can someone pls explain how? I thought that angular velocity remains a constant in rotational motion of a system, but here, its oppsite, linear velocity is a constant and ang. velocity varies. Pls resolve this confusion also? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a bicycle the radius of rear wheel is twice radius of front wheel. If Rf and Rr are the radii, Vf and Vr are speeds at topmost points of the wheel, then: 1. Vr =2Vf 2. Vf=2Vr 3. Vf=Vr 4. Vf greater than Vr Answer is 3. Can someone pls explain how? I thought that angular velocity remains a constant in rotational motion of a system, but here, its oppsite, linear velocity is a constant and ang. velocity varies. Pls resolve this confusion also?.
Solutions for In a bicycle the radius of rear wheel is twice radius of front wheel. If Rf and Rr are the radii, Vf and Vr are speeds at topmost points of the wheel, then: 1. Vr =2Vf 2. Vf=2Vr 3. Vf=Vr 4. Vf greater than Vr Answer is 3. Can someone pls explain how? I thought that angular velocity remains a constant in rotational motion of a system, but here, its oppsite, linear velocity is a constant and ang. velocity varies. Pls resolve this confusion also? in English & in Hindi are available as part of our courses for JEE.
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In a bicycle the radius of rear wheel is twice radius of front wheel. If Rf and Rr are the radii, Vf and Vr are speeds at topmost points of the wheel, then: 1. Vr =2Vf 2. Vf=2Vr 3. Vf=Vr 4. Vf greater than Vr Answer is 3. Can someone pls explain how? I thought that angular velocity remains a constant in rotational motion of a system, but here, its oppsite, linear velocity is a constant and ang. velocity varies. Pls resolve this confusion also?, a detailed solution for In a bicycle the radius of rear wheel is twice radius of front wheel. If Rf and Rr are the radii, Vf and Vr are speeds at topmost points of the wheel, then: 1. Vr =2Vf 2. Vf=2Vr 3. Vf=Vr 4. Vf greater than Vr Answer is 3. Can someone pls explain how? I thought that angular velocity remains a constant in rotational motion of a system, but here, its oppsite, linear velocity is a constant and ang. velocity varies. Pls resolve this confusion also? has been provided alongside types of In a bicycle the radius of rear wheel is twice radius of front wheel. If Rf and Rr are the radii, Vf and Vr are speeds at topmost points of the wheel, then: 1. Vr =2Vf 2. Vf=2Vr 3. Vf=Vr 4. Vf greater than Vr Answer is 3. Can someone pls explain how? I thought that angular velocity remains a constant in rotational motion of a system, but here, its oppsite, linear velocity is a constant and ang. velocity varies. Pls resolve this confusion also? theory, EduRev gives you an
ample number of questions to practice In a bicycle the radius of rear wheel is twice radius of front wheel. If Rf and Rr are the radii, Vf and Vr are speeds at topmost points of the wheel, then: 1. Vr =2Vf 2. Vf=2Vr 3. Vf=Vr 4. Vf greater than Vr Answer is 3. Can someone pls explain how? I thought that angular velocity remains a constant in rotational motion of a system, but here, its oppsite, linear velocity is a constant and ang. velocity varies. Pls resolve this confusion also? tests, examples and also practice JEE tests.
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