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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() 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
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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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.
Transcribed Image Text: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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