Q4-6 please 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

Given-Data:-JΩ˙ + αΩ = TT = 1000 NmJ = 1600 kg m2α = 200 Ns/rad To-Determine:- 4. Time, t1and t2. 5.…

Answered: Q4-6 please

Engineering

Mechanical Engineering

Q4-6 please

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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Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

Q4-6 please

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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Step 1: Requirements:-

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Step 2: Use Governing Differential equation:-

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Step 3: Time constant, limit angular velocity.

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Step 4: Time for 1 and 2:-

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Step 5: Reduction of times:-

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Step 6: Evolution of angular velocity:-

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Step 7: Finding the time:-

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Course: Statics For Mechanical Engineers Chapter: Ch2 ( Force Vectors )