Consider a circular disc which is rotating about its geometric center with a circular motion such that the angular acceleration is a quadratic function in time such that the time derivative of the angular acceleration is proportional to the time. For a particular angular acceleration motion at a time of t₁ = 0.1047 second the angular acceleration is a₁ =-0.1568 meter per second squared and at a time of t2=0.514 second the angular acceleration is a2 =0.9995 meter per second squared. At a time of t3=1.1999 second the angular velocity is w=9.9219 radians per second. Calculate the following at time t4=2.2023 second and a point on the disc where the radius is r=0.6351 meter: Question 1) the scalar magnitude of the velocity at time 2.2023 second Question 2) the scalar magnitude of the normal component of the vector of the acceleration at time 2.2023 second Question 3) the scalar magnitude of the tangential component of the vector of the acceleration at time 2.2023 second

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
Consider a circular disc which is rotating
about its geometric center with a
circular motion such that the angular
acceleration is a quadratic function in
time such that the time derivative of the
angular acceleration is proportional to
the time. For a particular angular
acceleration motion at a time of t₁ =
0.1047 second the angular acceleration
is a₁ =-0.1568 meter per second
squared and at a time of t2=0.514
second the angular acceleration is a2
=0.9995 meter per second squared. At a
time of t3=1.1999 second the angular
velocity is w=9.9219 radians per
second. Calculate the following at time
t4=2.2023 second and a point on the
disc where the radius is r=0.6351 meter:
Question 1) the scalar magnitude of the
velocity at time 2.2023 second
Question 2) the scalar magnitude of the
normal component of the vector of the
acceleration at time 2.2023 second
Question 3) the scalar magnitude of the
tangential component of the vector of
the acceleration at time 2.2023 second
Transcribed Image Text:Consider a circular disc which is rotating about its geometric center with a circular motion such that the angular acceleration is a quadratic function in time such that the time derivative of the angular acceleration is proportional to the time. For a particular angular acceleration motion at a time of t₁ = 0.1047 second the angular acceleration is a₁ =-0.1568 meter per second squared and at a time of t2=0.514 second the angular acceleration is a2 =0.9995 meter per second squared. At a time of t3=1.1999 second the angular velocity is w=9.9219 radians per second. Calculate the following at time t4=2.2023 second and a point on the disc where the radius is r=0.6351 meter: Question 1) the scalar magnitude of the velocity at time 2.2023 second Question 2) the scalar magnitude of the normal component of the vector of the acceleration at time 2.2023 second Question 3) the scalar magnitude of the tangential component of the vector of the acceleration at time 2.2023 second
Expert Solution
steps

Step by step

Solved in 4 steps with 14 images

Blurred answer
Knowledge Booster
Dynamics
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
  • SEE MORE 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