Class 11 Exam > Class 11 Questions > A boy is playing with a tire of radius 0.5m. ... Start Learning for Free
A boy is playing with a tire of radius 0.5m. He accelerates it from 5rpm to 25 rpm in 15 seconds. The linear acceleration of tire is
- a)70 m/s2
- b)7 m/s2
- c)10 m/s2
- d)0.07 m/s2
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A boy is playing with a tire of radius 0.5m. He accelerates it from 5r...
r=0.5m, t=15s
n1=5rpm=5/60 rps
n2=25rpm=25/60rps
… ω1=2π(5) rad/s
… ω2=2π(25) rad/s
As,
a=r∝ [∝=ω2- ω1/t]
so, a=0.5[2π(n2-n1)/t]
a=0.5x6.28x20/60x15
a=6.28x2/60x3
a=6.28/90
a=0.697 m/s2
a≈0.7 m/s2
n1=5rpm=5/60 rps
n2=25rpm=25/60rps
… ω1=2π(5) rad/s
… ω2=2π(25) rad/s
As,
a=r∝ [∝=ω2- ω1/t]
so, a=0.5[2π(n2-n1)/t]
a=0.5x6.28x20/60x15
a=6.28x2/60x3
a=6.28/90
a=0.697 m/s2
a≈0.7 m/s2
Free Test
FREE
| Start Free Test |
Community Answer
A boy is playing with a tire of radius 0.5m. He accelerates it from 5r...
Given, radius of the tire, r = 0.5 m
Initial angular velocity, ω1 = 5 rpm
Final angular velocity, ω2 = 25 rpm
Time taken, t = 15 seconds
We need to find the linear acceleration of the tire.
Formula used:
Linear velocity, v = rω
Angular acceleration, α = (ω2 - ω1)/t
Linear acceleration, a = rα
Calculation:
Convert rpm to rad/s: ω = 2πn/60, where n is rpm
Initial angular velocity, ω1 = (2π × 5)/60 = 0.524 rad/s
Final angular velocity, ω2 = (2π × 25)/60 = 2.618 rad/s
Angular acceleration, α = (ω2 - ω1)/t
α = (2.618 - 0.524)/15
α = 0.131 rad/s2
Linear acceleration, a = rα
a = 0.5 × 0.131
a = 0.0655 m/s2
Rounding off to two significant figures, we get,
a = 0.07 m/s2
Therefore, option D is the correct answer.
Initial angular velocity, ω1 = 5 rpm
Final angular velocity, ω2 = 25 rpm
Time taken, t = 15 seconds
We need to find the linear acceleration of the tire.
Formula used:
Linear velocity, v = rω
Angular acceleration, α = (ω2 - ω1)/t
Linear acceleration, a = rα
Calculation:
Convert rpm to rad/s: ω = 2πn/60, where n is rpm
Initial angular velocity, ω1 = (2π × 5)/60 = 0.524 rad/s
Final angular velocity, ω2 = (2π × 25)/60 = 2.618 rad/s
Angular acceleration, α = (ω2 - ω1)/t
α = (2.618 - 0.524)/15
α = 0.131 rad/s2
Linear acceleration, a = rα
a = 0.5 × 0.131
a = 0.0655 m/s2
Rounding off to two significant figures, we get,
a = 0.07 m/s2
Therefore, option D is the correct answer.
 | Explore Courses for Class 11 exam |  |
Top Courses for Class 11View all
Top Courses for Class 11
Question Description
A boy is playing with a tire of radius 0.5m. He accelerates it from 5rpm to 25 rpm in 15 seconds. The linear acceleration of tire isa)70 m/s2b)7 m/s2c)10 m/s2d)0.07 m/s2Correct answer is option 'D'. Can you explain this answer? for Class 11 2026 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A boy is playing with a tire of radius 0.5m. He accelerates it from 5rpm to 25 rpm in 15 seconds. The linear acceleration of tire isa)70 m/s2b)7 m/s2c)10 m/s2d)0.07 m/s2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 11 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boy is playing with a tire of radius 0.5m. He accelerates it from 5rpm to 25 rpm in 15 seconds. The linear acceleration of tire isa)70 m/s2b)7 m/s2c)10 m/s2d)0.07 m/s2Correct answer is option 'D'. Can you explain this answer?.
A boy is playing with a tire of radius 0.5m. He accelerates it from 5rpm to 25 rpm in 15 seconds. The linear acceleration of tire isa)70 m/s2b)7 m/s2c)10 m/s2d)0.07 m/s2Correct answer is option 'D'. Can you explain this answer? for Class 11 2026 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A boy is playing with a tire of radius 0.5m. He accelerates it from 5rpm to 25 rpm in 15 seconds. The linear acceleration of tire isa)70 m/s2b)7 m/s2c)10 m/s2d)0.07 m/s2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 11 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boy is playing with a tire of radius 0.5m. He accelerates it from 5rpm to 25 rpm in 15 seconds. The linear acceleration of tire isa)70 m/s2b)7 m/s2c)10 m/s2d)0.07 m/s2Correct answer is option 'D'. Can you explain this answer?.
Solutions for A boy is playing with a tire of radius 0.5m. He accelerates it from 5rpm to 25 rpm in 15 seconds. The linear acceleration of tire isa)70 m/s2b)7 m/s2c)10 m/s2d)0.07 m/s2Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 11. Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of A boy is playing with a tire of radius 0.5m. He accelerates it from 5rpm to 25 rpm in 15 seconds. The linear acceleration of tire isa)70 m/s2b)7 m/s2c)10 m/s2d)0.07 m/s2Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A boy is playing with a tire of radius 0.5m. He accelerates it from 5rpm to 25 rpm in 15 seconds. The linear acceleration of tire isa)70 m/s2b)7 m/s2c)10 m/s2d)0.07 m/s2Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A boy is playing with a tire of radius 0.5m. He accelerates it from 5rpm to 25 rpm in 15 seconds. The linear acceleration of tire isa)70 m/s2b)7 m/s2c)10 m/s2d)0.07 m/s2Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A boy is playing with a tire of radius 0.5m. He accelerates it from 5rpm to 25 rpm in 15 seconds. The linear acceleration of tire isa)70 m/s2b)7 m/s2c)10 m/s2d)0.07 m/s2Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A boy is playing with a tire of radius 0.5m. He accelerates it from 5rpm to 25 rpm in 15 seconds. The linear acceleration of tire isa)70 m/s2b)7 m/s2c)10 m/s2d)0.07 m/s2Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 11 tests.
| Explore Courses for Class 11 exam | |
Top Courses for Class 11
Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
