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The moment of inertia of flywheel is 2000 kgm2 starting from rest it is moving with a uniform acceleration of 0.5 radian/sec2, After 10 sec from start, its kinetic energy will be ______ Nm
(Important - Enter only the numerical value in the answer)
Correct answer is '25000'. Can you explain this answer?
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Calculation of Kinetic Energy of a Flywheel
Given data:
- Moment of inertia, I = 2000 kgm^2
- Uniform acceleration, α = 0.5 rad/s^2
- Time, t = 10 s
To calculate the kinetic energy of the flywheel, we need to use the equation:
- Kinetic energy, K.E. = 0.5 × I × ω^2
Where ω is the angular velocity of the flywheel, which can be calculated using the equation:
- ω = α × t
- ω = 0.5 × 10 = 5 rad/s (Since the flywheel is starting from rest, initial angular velocity is zero)
Substituting the value of ω into the equation for kinetic energy, we get:
- K.E. = 0.5 × 2000 × 5^2
- K.E. = 0.5 × 2000 × 25
- K.E. = 25000 Nm
Therefore, the kinetic energy of the flywheel after 10 seconds from start is 25000 Nm.
Given data:
- Moment of inertia, I = 2000 kgm^2
- Uniform acceleration, α = 0.5 rad/s^2
- Time, t = 10 s
To calculate the kinetic energy of the flywheel, we need to use the equation:
- Kinetic energy, K.E. = 0.5 × I × ω^2
Where ω is the angular velocity of the flywheel, which can be calculated using the equation:
- ω = α × t
- ω = 0.5 × 10 = 5 rad/s (Since the flywheel is starting from rest, initial angular velocity is zero)
Substituting the value of ω into the equation for kinetic energy, we get:
- K.E. = 0.5 × 2000 × 5^2
- K.E. = 0.5 × 2000 × 25
- K.E. = 25000 Nm
Therefore, the kinetic energy of the flywheel after 10 seconds from start is 25000 Nm.
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The moment of inertia of flywheel is 2000 kgm2 starting from rest it is moving with a uniform acceleration of 0.5 radian/sec2, After 10 sec from start, its kinetic energy will be ______ Nm(Important - Enter only the numerical value in the answer)Correct answer is '25000'. Can you explain this answer?
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