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The moment of inertia and rotational kinetic energy of a fly wheel are 20kgm2 and 1000J respectively. Its angular frequency per minute would be, a)600/3.14 b)25/9.86 c)5/3.14 d)300/3.14?
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The moment of inertia and rotational kinetic energy of a fly wheel are...
Given:
Moment of inertia (I) = 20 kgm^2
Rotational kinetic energy (K) = 1000 J
To find:
Angular frequency per minute
Solution:
The rotational kinetic energy (K) of a rotating object can be calculated using the formula:
K = (1/2)Iω^2
Where,
K = Rotational kinetic energy
I = Moment of inertia
ω = Angular velocity
We are given the values of K and I, so we can rearrange the formula to solve for ω:
ω^2 = (2K) / I
Substituting the given values:
ω^2 = (2 * 1000) / 20
ω^2 = 100
ω = √100
ω = 10 rad/s
To find the angular frequency per minute, we can convert the angular velocity from radians per second to radians per minute:
1 revolution = 2π radians
1 minute = 60 seconds
ω (in radians per minute) = ω (in radians per second) * (60 seconds / 1 minute) * (1 revolution / 2π radians)
ω (in radians per minute) = 10 * 60 * (1 / 2π)
ω (in radians per minute) = 300 / π
Approximating the value of π as 3.14, we can simplify the expression:
ω (in radians per minute) ≈ 300 / 3.14
Hence, the angular frequency per minute is approximately 95.54 radians per minute.
Answer:
The angular frequency per minute of the flywheel is approximately 95.54 radians per minute, which is closest to option d) 300/3.14.
Moment of inertia (I) = 20 kgm^2
Rotational kinetic energy (K) = 1000 J
To find:
Angular frequency per minute
Solution:
The rotational kinetic energy (K) of a rotating object can be calculated using the formula:
K = (1/2)Iω^2
Where,
K = Rotational kinetic energy
I = Moment of inertia
ω = Angular velocity
We are given the values of K and I, so we can rearrange the formula to solve for ω:
ω^2 = (2K) / I
Substituting the given values:
ω^2 = (2 * 1000) / 20
ω^2 = 100
ω = √100
ω = 10 rad/s
To find the angular frequency per minute, we can convert the angular velocity from radians per second to radians per minute:
1 revolution = 2π radians
1 minute = 60 seconds
ω (in radians per minute) = ω (in radians per second) * (60 seconds / 1 minute) * (1 revolution / 2π radians)
ω (in radians per minute) = 10 * 60 * (1 / 2π)
ω (in radians per minute) = 300 / π
Approximating the value of π as 3.14, we can simplify the expression:
ω (in radians per minute) ≈ 300 / 3.14
Hence, the angular frequency per minute is approximately 95.54 radians per minute.
Answer:
The angular frequency per minute of the flywheel is approximately 95.54 radians per minute, which is closest to option d) 300/3.14.
Community Answer
The moment of inertia and rotational kinetic energy of a fly wheel are...
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The moment of inertia and rotational kinetic energy of a fly wheel are 20kgm2 and 1000J respectively. Its angular frequency per minute would be, a)600/3.14 b)25/9.86 c)5/3.14 d)300/3.14?
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The moment of inertia and rotational kinetic energy of a fly wheel are 20kgm2 and 1000J respectively. Its angular frequency per minute would be, a)600/3.14 b)25/9.86 c)5/3.14 d)300/3.14? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The moment of inertia and rotational kinetic energy of a fly wheel are 20kgm2 and 1000J respectively. Its angular frequency per minute would be, a)600/3.14 b)25/9.86 c)5/3.14 d)300/3.14? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The moment of inertia and rotational kinetic energy of a fly wheel are 20kgm2 and 1000J respectively. Its angular frequency per minute would be, a)600/3.14 b)25/9.86 c)5/3.14 d)300/3.14?.
The moment of inertia and rotational kinetic energy of a fly wheel are 20kgm2 and 1000J respectively. Its angular frequency per minute would be, a)600/3.14 b)25/9.86 c)5/3.14 d)300/3.14? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The moment of inertia and rotational kinetic energy of a fly wheel are 20kgm2 and 1000J respectively. Its angular frequency per minute would be, a)600/3.14 b)25/9.86 c)5/3.14 d)300/3.14? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The moment of inertia and rotational kinetic energy of a fly wheel are 20kgm2 and 1000J respectively. Its angular frequency per minute would be, a)600/3.14 b)25/9.86 c)5/3.14 d)300/3.14?.
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