Project 3: Part (1): Crankshaft mechanism is one of the most important mechanical system used to convert translational motion or reciprocating motion to rotational motion and vice versa. It is widely used in car's engines and compressors, hydraulic pumps. Your role in air compressor manufacturing company is to analyze the displacement, velocity and acceleration diagrams for crankshaft planer mechanism to later find the forces acts of the links to avoid overloading the system. Your manger asked you the provide detailed analysis of the crankshaft planer mechanism shown in Figure.3. Crank Connecting Rod x(t) V() a(t) F(t) OB Piston x(t) Reference Figure.3: Crankshaft planar mechanism for a compressor

Project 3: Part (1): Crankshaft mechanism is one of the most important mechanical system used to convert translational motion or reciprocating motion to rotational motion and vice versa. It is widely used in car's engines and compressors, hydraulic pumps. Your role in air compressor manufacturing company is to analyze the displacement, velocity and acceleration diagrams for crankshaft planer mechanism to later find the forces acts of the links to avoid overloading the system. Your manger asked you the provide detailed analysis of the crankshaft planer mechanism shown in Figure.3. Crank Connecting Rod x(t) V() a(t) F(t) OB Piston x(t) Reference Figure.3: Crankshaft planar mechanism for a compressor

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

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Concept explainers

Engineering Drawing

Technical drawing has been around since ancient times. As in the ancient Renaissance, complicated drawings were created, including Leonardo da Vinci's drawing. Modern engineering drawing, including its specific orthographic projection with scale conventions, began in Europe (France) during the early stages of Industrialization. L.T. C. Rolt also made some of Marc's drawings for its block-making machinery (in 1799) that also may have contributed significantly to British engineering technology. Since he learned the art of presenting three-dimensional(3D) items in a two-dimensional(2D) plane, as we now term mechanical drawing. 

Question

Please solve the question on the sheet and get a clear picture and submit the picture.

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Project 3:
Part (1): Crankshaft mechanism is one of the most important mechanical system used to convert translational
motion or reciprocating motion to rotational motion and vice versa. It is widely used in car's engines and
compressors, hydraulic pumps. Your role in air compressor manufacturing company is to analyze the
displacement, velocity and acceleration diagrams for crankshaft planer mechanism to later find the forces
acts of the links to avoid overloading the system. Your manger asked you the provide detailed analysis of the
crankshaft planer mechanism shown in Figure.3.
Crank
Connecting Rod x(t)
V(1)
OB
a(t)
F(1)
Piston
x(t)
Reference
Figure.3: Crankshaft planar mechanism for a compressor
If the zero-position x=0 at the extreme right as shown in Figure.3, perform the following tasks:
1. Derive a mathematical relation for displacement, velocity and acceleration x(t), v(t) and a(t) of the
piston B.
2. From Table.1 select the required rotational velocity of the crank that ensures a complete cycle in 6
secs.
Case
1
3
30 RPM
20 RPM
15 RPM
3. Based on your selection from part.2 and assuming that a and b are 40, 120 mm respectively.
Determine the maximum acceleration and force exerted by piston if its mass is 2 kg.

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