Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
Shown in figure 4 is a piston, connecting rod and crank, i.e., a slider- crank mechanism. BIG END BEARING MAIN BEARING Figure 4: Slider Crank Mechanism (a) For the slider crank shown in figure 4, the throw of the crank is denoted by R, the connecting rod length by L, the crank angle by 0, and the displacement of the piston below TDC by x. Derive an equation to determine the piston displacement, x, as a function of crank angle.

Shown in figure 4 is a piston, connecting rod and crank, i.e., a slider- crank mechanism. BIG END BEARING MAIN BEARING Figure 4: Slider Crank Mechanism (a) For the slider crank shown in figure 4, the throw of the crank is denoted by R, the connecting rod length by L, the crank angle by 0, and the displacement of the piston below TDC by x. Derive an equation to determine the piston displacement, x, as a function of crank angle.

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
Question
100%

ques 6 part a 

plz answer asap

Question 6 continued (b) Using the binomial expansion; (1+p)" = 1+ np+ n(n – 1)p? n(n – 1)p +... 2! 3! and the double angle formula; 2sin?(0) = 1- cos(20) Show that the piston displacement may be represented by the approximate formula below; R? [1 – cos(20)] 4L I= R(1 – cos(0)) + (c) An engine has a bore of 78mm, a stroke of 82mm, and a con- necting rod length of 168mm. The crank is turning at 7200rpm. At top dead centre, the flat top of the piston is level with the upper deck of the block. At the instant when the crank is at 90° after top dead centre, using the approximate formula for the piston displacement as shown in part (b) of this question, cal- culate; i the depth of the flat top of the piston below the upper deck of the engine block ii the velocity of the piston in the direction of the cylinder axis i the acceleration of the piston in the direction of the cylinder axis Question 6 continued (d) Summarise the crankshaft layouts and therefore the also de- scribe the out of balance forces and moments for the following engine types; i single cylinder four stroke engine ii four cylinder inline four stroke engine iii three cylinder inline four stroke engine
Transcribed Image Text:Question 6 continued (b) Using the binomial expansion; (1+p)" = 1+ np+ n(n – 1)p? n(n – 1)p +... 2! 3! and the double angle formula; 2sin?(0) = 1- cos(20) Show that the piston displacement may be represented by the approximate formula below; R? [1 – cos(20)] 4L I= R(1 – cos(0)) + (c) An engine has a bore of 78mm, a stroke of 82mm, and a con- necting rod length of 168mm. The crank is turning at 7200rpm. At top dead centre, the flat top of the piston is level with the upper deck of the block. At the instant when the crank is at 90° after top dead centre, using the approximate formula for the piston displacement as shown in part (b) of this question, cal- culate; i the depth of the flat top of the piston below the upper deck of the engine block ii the velocity of the piston in the direction of the cylinder axis i the acceleration of the piston in the direction of the cylinder axis Question 6 continued (d) Summarise the crankshaft layouts and therefore the also de- scribe the out of balance forces and moments for the following engine types; i single cylinder four stroke engine ii four cylinder inline four stroke engine iii three cylinder inline four stroke engine
6. Shown in figure 4 is a piston, connecting rod and crank, i.e., a slider- crank mechanism. BIG END BEARING MAIN BEARING Figure 4: Slider Crank Mechanism (a) For the slider crank shown in figure 4, the throw of the crank is denoted by R, the connecting rod length by L, the crank angle by 0, and the displacement of the piston below TDC by x. Derive an equation to determine the piston displacement, x, as a function of crank angle.
Transcribed Image Text:6. Shown in figure 4 is a piston, connecting rod and crank, i.e., a slider- crank mechanism. BIG END BEARING MAIN BEARING Figure 4: Slider Crank Mechanism (a) For the slider crank shown in figure 4, the throw of the crank is denoted by R, the connecting rod length by L, the crank angle by 0, and the displacement of the piston below TDC by x. Derive an equation to determine the piston displacement, x, as a function of crank angle.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Dimensional Analysis
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