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Q4-6 please

Q4-6 please

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Q4-6 please
Technical data: T = 1000 Nm J = 1600 kg m² a = 200 Ns/rad Questions: 1) Calculate the time constant. 2) The initial angular velocity is zero. Calculate the evolution of the angular velocity with respect to time. 3) What is the limit angular velocity? How could we increase this limit ? 4) Calculate the time t1 for which 63 % of this limit is reached and the time t2 for which 90 % of this limit is reached. How could we reduce t1 and t2? 5) After t2, the torque is released. Calculate the evolution of the angular velocity after t2. 6) Calculate the time t3 for which 10 % of the previous limit is reached? How could we reduce this limit? 7) Question 2 with a linearly increasing torque: T(t) = 200 + 100 t
Transcribed Image Text:Technical data: T = 1000 Nm J = 1600 kg m² a = 200 Ns/rad Questions: 1) Calculate the time constant. 2) The initial angular velocity is zero. Calculate the evolution of the angular velocity with respect to time. 3) What is the limit angular velocity? How could we increase this limit ? 4) Calculate the time t1 for which 63 % of this limit is reached and the time t2 for which 90 % of this limit is reached. How could we reduce t1 and t2? 5) After t2, the torque is released. Calculate the evolution of the angular velocity after t2. 6) Calculate the time t3 for which 10 % of the previous limit is reached? How could we reduce this limit? 7) Question 2 with a linearly increasing torque: T(t) = 200 + 100 t
T C We consider a rotating shaft. A torque T is applied, resuting in a rotation of the shaft. The bearing system and the output connections yield a viscous damping torque D. T: input torque 2: output angular velocity Dan: viscous damping = J: moment of inertia Governing equation (obtained using Euler equation for rotating solids): JN+an = T αΩ
Transcribed Image Text:T C We consider a rotating shaft. A torque T is applied, resuting in a rotation of the shaft. The bearing system and the output connections yield a viscous damping torque D. T: input torque 2: output angular velocity Dan: viscous damping = J: moment of inertia Governing equation (obtained using Euler equation for rotating solids): JN+an = T αΩ
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