An automobile of mass M=5400 kg is moving at a speed of 30 m/s.The engine is disengaged suddenly at t= 0 sec. Assume that the equation of motion after t-0 is given by dv 5400 v = -8.276 v-2000 dx Where v= v(t) is the speed (m/sec) of the car at t. The left side represents Mv (dv/dx). The first term on the right side is the aerodynamics drag, I||||||||||T|||||||||||\|and the second term is the rolling resistance of the tires. Calculate how far the car travels until the speed reduces to 15 m/sec.(hint: the equation of motion may be integrated as 5400 v dv = Jdx=x 15 8.276 v+2000

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
1. An automobile of mass M=5400 kg is moving at a speed of 30 m/s.The engine is
disengaged suddenly at t= 0 sec. Assume that the equation of motion after t-0 is given
by
5400 v-
dv
= -8.276 v-2000
dx
Where v= v(t) is the speed (m/sec) of the car at t. The left side represents Mv
(dv/dx).The first term on the right side is the aerodynamics drag,
\\\\\\\\\|\||\\\||||||
|| lland the second term is the rolling resistance of the tires.
Calculate how far the car travels until the speed reduces to 15 m/sec.(hint: the equation
of motion may be integrated as
5400 v dv
30
= Jdx=x
8.276 v+2000
Evaluate the preceding equation using Simpson rule).
Transcribed Image Text:1. An automobile of mass M=5400 kg is moving at a speed of 30 m/s.The engine is disengaged suddenly at t= 0 sec. Assume that the equation of motion after t-0 is given by 5400 v- dv = -8.276 v-2000 dx Where v= v(t) is the speed (m/sec) of the car at t. The left side represents Mv (dv/dx).The first term on the right side is the aerodynamics drag, \\\\\\\\\|\||\\\|||||| || lland the second term is the rolling resistance of the tires. Calculate how far the car travels until the speed reduces to 15 m/sec.(hint: the equation of motion may be integrated as 5400 v dv 30 = Jdx=x 8.276 v+2000 Evaluate the preceding equation using Simpson rule).
Expert Solution
steps

Step by step

Solved in 3 steps

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