JEE Exam > JEE Questions > A cyclist travels at the rate of 14.4 km/hr a...
Start Learning for Free
A cyclist travels at the rate of 14.4 km/hr and the radius of the wheel is 35 cm. What is the measure of the angle in radian through which a spoke of the wheel will turn in one second?
- a)41/5 radians
- b)80/7 radians
- c)70/8 radians
- d)40/3 radians
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A cyclist travels at the rate of 14.4 km/hr and the radius of the whee...
First of all change the speed into m/s. You will get 4 m/s. It means that the wheel moves 4 metres a second i.e arc subtended by the wheel per second is 4m. Now, as we know that angle= arc÷radius. So, divide 4m by 0.35m ( convert 35 cm into metre or 4m into cm, as you wish). So, angle= (400÷35) radians = 80/7 radians. So, the answer is b).
Most Upvoted Answer
A cyclist travels at the rate of 14.4 km/hr and the radius of the whee...
First of all change the speed into m/s. You will get 4 m/s. It means that the wheel moves 4 metres a second i.e arc subtended by the wheel per second is 4m. Now, as we know that angle= arc÷radius. So, divide 4m by 0.35m ( convert 35 cm into metre or 4m into cm, as you wish). So, angle= (400÷35) radians = 80/7 radians. So, the answer is b).
Free Test
FREE
| Start Free Test |
Community Answer
A cyclist travels at the rate of 14.4 km/hr and the radius of the whee...
Calculation:
The formula to calculate the distance covered by a wheel in one rotation is given by:
Distance = 2 x π x radius
Given data:
Speed of the cyclist = 14.4 km/hr
Radius of the wheel = 35 cm
Conversion:
To convert the speed from km/hr to cm/s:
14.4 km/hr = 14.4 x 1000 m / 3600 s = 4 m/s
Calculating the distance covered by the wheel in one second:
Distance = 2 x π x 35 cm = 70π cm
Calculating the angle in radian:
Angle = Distance / Circumference of the wheel = 70π / (2π x 35) = 1/5 radian
Therefore, the measure of the angle in radian through which a spoke of the wheel will turn in one second is 1/5 radians, which is equivalent to 80/7 radians. Hence, the correct answer is option 'B'.
The formula to calculate the distance covered by a wheel in one rotation is given by:
Distance = 2 x π x radius
Given data:
Speed of the cyclist = 14.4 km/hr
Radius of the wheel = 35 cm
Conversion:
To convert the speed from km/hr to cm/s:
14.4 km/hr = 14.4 x 1000 m / 3600 s = 4 m/s
Calculating the distance covered by the wheel in one second:
Distance = 2 x π x 35 cm = 70π cm
Calculating the angle in radian:
Angle = Distance / Circumference of the wheel = 70π / (2π x 35) = 1/5 radian
Therefore, the measure of the angle in radian through which a spoke of the wheel will turn in one second is 1/5 radians, which is equivalent to 80/7 radians. Hence, the correct answer is option 'B'.
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 travels at the rate of 14.4 km/hr and the radius of the wheel is 35 cm. What is the measure of the angle in radian through which a spoke of the wheel will turn in one second?a)41/5 radiansb)80/7 radiansc)70/8 radiansd)40/3 radiansCorrect answer is option 'B'. Can you explain this answer?
Question Description
A cyclist travels at the rate of 14.4 km/hr and the radius of the wheel is 35 cm. What is the measure of the angle in radian through which a spoke of the wheel will turn in one second?a)41/5 radiansb)80/7 radiansc)70/8 radiansd)40/3 radiansCorrect 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 travels at the rate of 14.4 km/hr and the radius of the wheel is 35 cm. What is the measure of the angle in radian through which a spoke of the wheel will turn in one second?a)41/5 radiansb)80/7 radiansc)70/8 radiansd)40/3 radiansCorrect 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 travels at the rate of 14.4 km/hr and the radius of the wheel is 35 cm. What is the measure of the angle in radian through which a spoke of the wheel will turn in one second?a)41/5 radiansb)80/7 radiansc)70/8 radiansd)40/3 radiansCorrect answer is option 'B'. Can you explain this answer?.
A cyclist travels at the rate of 14.4 km/hr and the radius of the wheel is 35 cm. What is the measure of the angle in radian through which a spoke of the wheel will turn in one second?a)41/5 radiansb)80/7 radiansc)70/8 radiansd)40/3 radiansCorrect 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 travels at the rate of 14.4 km/hr and the radius of the wheel is 35 cm. What is the measure of the angle in radian through which a spoke of the wheel will turn in one second?a)41/5 radiansb)80/7 radiansc)70/8 radiansd)40/3 radiansCorrect 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 travels at the rate of 14.4 km/hr and the radius of the wheel is 35 cm. What is the measure of the angle in radian through which a spoke of the wheel will turn in one second?a)41/5 radiansb)80/7 radiansc)70/8 radiansd)40/3 radiansCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A cyclist travels at the rate of 14.4 km/hr and the radius of the wheel is 35 cm. What is the measure of the angle in radian through which a spoke of the wheel will turn in one second?a)41/5 radiansb)80/7 radiansc)70/8 radiansd)40/3 radiansCorrect 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 travels at the rate of 14.4 km/hr and the radius of the wheel is 35 cm. What is the measure of the angle in radian through which a spoke of the wheel will turn in one second?a)41/5 radiansb)80/7 radiansc)70/8 radiansd)40/3 radiansCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A cyclist travels at the rate of 14.4 km/hr and the radius of the wheel is 35 cm. What is the measure of the angle in radian through which a spoke of the wheel will turn in one second?a)41/5 radiansb)80/7 radiansc)70/8 radiansd)40/3 radiansCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A cyclist travels at the rate of 14.4 km/hr and the radius of the wheel is 35 cm. What is the measure of the angle in radian through which a spoke of the wheel will turn in one second?a)41/5 radiansb)80/7 radiansc)70/8 radiansd)40/3 radiansCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A cyclist travels at the rate of 14.4 km/hr and the radius of the wheel is 35 cm. What is the measure of the angle in radian through which a spoke of the wheel will turn in one second?a)41/5 radiansb)80/7 radiansc)70/8 radiansd)40/3 radiansCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A cyclist travels at the rate of 14.4 km/hr and the radius of the wheel is 35 cm. What is the measure of the angle in radian through which a spoke of the wheel will turn in one second?a)41/5 radiansb)80/7 radiansc)70/8 radiansd)40/3 radiansCorrect 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