Technical data:T = 1000 NmJ = 1600 kg m²a = 200 Ns/radQuestions:1) Calculate the time constant.2) The initial angular velocity is zero. Calculate the evolution ofthe angular velocity with respect to time.3) What is the limit angular velocity? How could we increase thislimit ?4) Calculate the time t1 for which 63 % of this limit is reachedand the time t2 for which 90 % of this limit is reached. How couldwe reduce t1 and t2?5) After t2, the torque is released. Calculate the evolution of theangular velocity after t2.6) Calculate the time t3 for which 10 % of the previous limit isreached? How could we reduce this limit?7) Question 2 with a linearly increasing torque:T(t) = 200 + 100 t TCWe consider a rotating shaft.A torque T is applied, resuting in arotation of the shaft.The bearing system and the outputconnections yield a viscousdamping torque D.T: input torque2: output angular velocityDan: viscous damping=J: moment of inertiaGoverning equation (obtained using Euler equation for rotatingsolids):JN+an = TαΩ

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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 ?

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 ?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Question

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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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