Question

The crank of the compressor linkage shown in Figure P6.19 is driven counterclockwise at a constant rate of 2150 rpm . Use a spreadsheet to analytically create a curve for the linear displacement of the piston as a function of the crank angle. Convert the crank angle axis to time. Then use numerical differentiation to obtain a velocity curve of the piston as a function of time.

   The crank of the compressor linkage shown in Figure P6.19 is driven counterclockwise at a constant rate of 2150 rpm . Use a spreadsheet to analytically create a curve for the linear displacement of the piston as a function of the crank angle. Convert the crank angle axis to time. Then use numerical differentiation to obtain a velocity curve of the piston as a function of time.
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Machines and mechanisms : Applied Kinematic Analysis
Machines and mechanisms : Applied Kinematic Analysis
David H Myszka 4th Edition
Chapter 6, Problem 104 ↓

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Since the crank is driven at a constant rate of 2150 rpm, we first convert this to radians per second. \[ \text{Angular velocity} (\omega) = 2150 \, \text{rpm} \times \frac{2\pi \, \text{radians}}{1 \, \text{revolution}} \times \frac{1 \, \text{minute}}{60 \,  Show more…

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The crank of the compressor linkage shown in Figure P6.19 is driven counterclockwise at a constant rate of 2150 rpm . Use a spreadsheet to analytically create a curve for the linear displacement of the piston as a function of the crank angle. Convert the crank angle axis to time. Then use numerical differentiation to obtain a velocity curve of the piston as a function of time.
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