A 0.20 m long shaf with negligible inertia has a flywheel suspended from the end and a damper to damp the vibrations. The shaft has a torsional stiffness of 5,000 N-m/rad and a modulus of rigidity of 152 Mpa. The flywheel has a moment of inertia of 30 kg-m2 and the damping ratio is 0.4. Calculate the following: a) The damped frequency (in Hz) b) The damping coefficient (in N-m-s) c) The actual angular frequency (in Hz) d) The amplitude reduction factor e) The diameter of the shaft (in mm)

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
icon
Related questions
Question

A 0.20 m long shaf with negligible inertia has a flywheel suspended from the end and a damper to damp the vibrations. The shaft has a torsional stiffness of 5,000 N-m/rad and a modulus of rigidity of 152 Mpa. The flywheel has a moment of inertia of 30 kg-m2 and the damping ratio is 0.4. Calculate the following:

a) The damped frequency (in Hz)

b) The damping coefficient (in N-m-s)

c) The actual angular frequency (in Hz)

d) The amplitude reduction factor

e) The diameter of the shaft (in mm)

Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Free Damped Vibrations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY