Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
Scenario 1 Your boss, Melon Usk, wants you to determine the acceleration of his new car. The details of the car are as follows: The car's total mass is 1500 kg The motor outputs a constant torque of 300 Nm The drive train has a gear ratio of 10:1 to the drive axle Prior to any gearing, the motor and drivetrain have a moment of inertia of 0.5 kg m². The four tires are 0.6 m in diameter. A single set of final gear, drive axial, and tire has combined moment of inertia of 0.6 kg m². Not knowing how to proceed, you e-mail your favourite ex-instructor, Frank. He is very busy but draws you the following: ● ● ● ● ● Motor ● FT+ + IM = 0.5 kg m² TIN = 300Nm TIN Final Gear + Wheel Wheel RG C Rw Final Gear Fw Iw = 4(0.6 kg m²) = 2.4kg-m² RG = 10R Rw = 0.3m Car m = 1500kg y Fw X Frank also notes the following: You can treat all four tires, axels, and final gears as a single entity. The moments of inertia will add together but the radius will remain the same. You do not need to know the complex shape of the motor or transmission. Instead, just treat everything before the first gear as a single entity. Likewise, you can treat the final gears, the drive axels, and the wheels as a single entity. Find: a) The acceleration of the car treating the drive train and tires as rigid bodies. b) The acceleration of car if you treated it as a particle in its entirety (i.e. you disregard moments of inertia) c) The percentage difference between the acceleration of a) with respect to b)

Scenario 1 Your boss, Melon Usk, wants you to determine the acceleration of his new car. The details of the car are as follows: The car's total mass is 1500 kg The motor outputs a constant torque of 300 Nm The drive train has a gear ratio of 10:1 to the drive axle Prior to any gearing, the motor and drivetrain have a moment of inertia of 0.5 kg m². The four tires are 0.6 m in diameter. A single set of final gear, drive axial, and tire has combined moment of inertia of 0.6 kg m². Not knowing how to proceed, you e-mail your favourite ex-instructor, Frank. He is very busy but draws you the following: ● ● ● ● ● Motor ● FT+ + IM = 0.5 kg m² TIN = 300Nm TIN Final Gear + Wheel Wheel RG C Rw Final Gear Fw Iw = 4(0.6 kg m²) = 2.4kg-m² RG = 10R Rw = 0.3m Car m = 1500kg y Fw X Frank also notes the following: You can treat all four tires, axels, and final gears as a single entity. The moments of inertia will add together but the radius will remain the same. You do not need to know the complex shape of the motor or transmission. Instead, just treat everything before the first gear as a single entity. Likewise, you can treat the final gears, the drive axels, and the wheels as a single entity. Find: a) The acceleration of the car treating the drive train and tires as rigid bodies. b) The acceleration of car if you treated it as a particle in its entirety (i.e. you disregard moments of inertia) c) The percentage difference between the acceleration of a) with respect to b)

Elements Of Electromagnetics
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
See similar textbooks
icon
Related questions
icon
Concept explainers
Question
Scenario 1 Your boss, Melon Usk, wants you to determine the acceleration of his new car. The details of the car are as follows: The car's total mass is 1500 kg The motor outputs a constant torque of 300 Nm The drive train has a gear ratio of 10:1 to the drive axle Prior to any gearing, the motor and drivetrain have a moment of inertia of 0.5 kg m². The four tires are 0.6 m in diameter. A single set of final gear, drive axial, and tire has combined moment of inertia of 0.6 kg m². Not knowing how to proceed, you e-mail your favourite ex-instructor, Frank. He is very busy but draws you the following: ● ● ● ● ● ● Motor ● FT+ IM = 0.5 kg. m² TIN = 300Nm TIN Final Gear + Wheel Wheel RG Final Gear C Rw Fw Iw = 4(0.6 kg m²) = 2.4kg. m² RG = 10R Rw = 0.3m Car Fw m = 1500kg y x Frank also notes the following: You can treat all four tires, axels, and final gears as a single entity. The moments of inertia will add together but the radius will remain the same. You do not need to know the complex shape of the motor or transmission. Instead, just treat everything before the first gear as a single entity. Likewise, you can treat the final gears, the drive axels, and the wheels as a single entity. Find: a) The acceleration of the car treating the drive train and tires as rigid bodies. b) The acceleration of car if you treated it as a particle in its entirety (i.e. you disregard moments of inertia) c) The percentage difference between the acceleration of a) with respect to b)
Transcribed Image Text:Scenario 1 Your boss, Melon Usk, wants you to determine the acceleration of his new car. The details of the car are as follows: The car's total mass is 1500 kg The motor outputs a constant torque of 300 Nm The drive train has a gear ratio of 10:1 to the drive axle Prior to any gearing, the motor and drivetrain have a moment of inertia of 0.5 kg m². The four tires are 0.6 m in diameter. A single set of final gear, drive axial, and tire has combined moment of inertia of 0.6 kg m². Not knowing how to proceed, you e-mail your favourite ex-instructor, Frank. He is very busy but draws you the following: ● ● ● ● ● ● Motor ● FT+ IM = 0.5 kg. m² TIN = 300Nm TIN Final Gear + Wheel Wheel RG Final Gear C Rw Fw Iw = 4(0.6 kg m²) = 2.4kg. m² RG = 10R Rw = 0.3m Car Fw m = 1500kg y x Frank also notes the following: You can treat all four tires, axels, and final gears as a single entity. The moments of inertia will add together but the radius will remain the same. You do not need to know the complex shape of the motor or transmission. Instead, just treat everything before the first gear as a single entity. Likewise, you can treat the final gears, the drive axels, and the wheels as a single entity. Find: a) The acceleration of the car treating the drive train and tires as rigid bodies. b) The acceleration of car if you treated it as a particle in its entirety (i.e. you disregard moments of inertia) c) The percentage difference between the acceleration of a) with respect to b)
Expert Solution
steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Forming and Shaping
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
SEE MORE TEXTBOOKS