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Answer :
Final answer:
To find the torque needed to produce an angular acceleration of 93 rpm/s for a flywheel with specific dimensions and mass, follow the steps of converting the acceleration to radian/s, calculating the moment of inertia, and applying the torque formula. In this case, the torque required would be 2021.91 N.m.
Explanation:
To determine the torque needed to produce the specified angular acceleration on the flywheel.
To find the torque needed to produce an angular acceleration of 93 rpm/s:
- First, convert the angular acceleration to radian/s: 93 rpm/s * 2π/60 = 9.74 rad/s²
- Calculate the moment of inertia of the flywheel: I = 1/2 * m * r^2 = 1/2 * 838 kg * (0.705 m)^2 = 207.56 kg.m²
- Use the formula for torque: τ = I * α = 207.56 kg.m² * 9.74 rad/s² = 2021.91 N.m
Therefore, 2021.91 N.m torque is needed .
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