Determining Displacement, Velocity, and Acceleration Diagrams of Whitworth Quick Return Mechanism

Categories: Physics

Objective

The objective of this experiment is to utilize a model of a Whitworth Quick Return Mechanism to create Displacement, Velocity, and Acceleration graphs based on the data obtained during the experiment. Additionally, we aim to explore the engineering applications of the Quick return mechanism and draw conclusions regarding its advantages and disadvantages.

Introduction

The Whitworth Quick Return Mechanism is a crucial component in various engineering applications, enabling repetitive back-and-forth linear motion with varying speeds. This experiment aims to investigate and analyze the behavior of the Quick Return Mechanism by measuring and plotting Displacement, Velocity, and Acceleration graphs based on the data obtained from the experiment.

By understanding the principles behind this mechanism and its applications, we can gain insights into its advantages and limitations, providing valuable information for engineering design and decision-making.

Apparatus

  • Quick Return Mechanism
  • Lubricating Oil
  • Pencils
  • Graph Papers

Theory

The Quick Return mechanism is employed to generate repetitive back-and-forth linear motion, where the time taken to travel in one direction is shorter compared to the opposite direction.

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This mechanism is driven by circular motion, which can be achieved using a motor or a hand-operated wheel with a handle. It serves the purpose of converting rotary motion into reciprocating motion. Quick Return Mechanisms find applications in machines such as shaper machines, where the time required to return to the initial position is shorter than the time needed for forward motion to shape a specimen. It consists of a circular crank attached to a link that produces linear motion.

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The crank has a rotation of 360 degrees, resulting in a corresponding linear movement for each fixed angle of crank rotation.

The diagram below illustrates the model of the Quick Return mechanism, featuring a circular disc with a link:

Demonstration of Quick Return Mechanism

Procedure

  1. Prepare the apparatus and lubricate the moving parts of the machinery to minimize friction.
  2. Rotate the crank by an angle of 10 degrees and record the corresponding displacement of the slider using the provided linear scale.
  3. Repeat the experiment until one complete rotation of the crank is achieved.
  4. Use the obtained readings to plot a graph between Displacement and the degree of rotation.
  5. Draw tangents to the Displacement graph to create the Velocity-time graph.
  6. Similarly, draw the Acceleration-time graph from the Velocity-time graph by drawing tangents.

Observation and Calculations

Degree of Rotation (degrees) Displacement (inches)
0 0
10 0.05
20 0.2
30 0.4
40 0.7
50 1.05
60 1.45
70 1.85
80 2.3
90 2.75
100 3.15
110 3.6
120 3.95
130 4.25
140 4.55
150 4.7
160 4.85
170 4.95
180 5
190 4.95
200 5
210 4.9
220 4.75
230 4.55
240 4.25
250 3.95
260 3.6
270 3.2
280 2.8
290 2.35
300 1.9
310 1.45
320 1.05
330 0.7
340 0.4
350 0.2
360 0

Velocity Graph

To create the Velocity graph, we drew tangents to the Displacement graph at every 30-degree interval. The values obtained from these tangents represent the velocity, which is then plotted against the angle of rotation to generate the required graph.

Acceleration Graph

The Acceleration graph is obtained in a similar manner to the Velocity graph. Tangents are drawn to the Velocity graph at 30-degree intervals. The values obtained from these tangents, when plotted against the angle of rotation, yield the Acceleration graph.

Applications

The Whitworth Quick Return Mechanism finds applications in various engineering fields, including:

  • Shaping machines
  • Screw press
  • Power-driven saws
  • Mechanical actuators
  • Revolver mechanisms
  • Piston-Crank mechanisms

Discussion

The experimental results presented in the Displacement, Velocity, and Acceleration graphs reveal valuable insights into the behavior of the Whitworth Quick Return Mechanism. The Displacement graph clearly demonstrates the reciprocating motion generated by the mechanism, with varying speeds in each direction. The Velocity graph, derived from the Displacement data, illustrates the changing velocity as the mechanism moves through its cycle. Finally, the Acceleration graph, obtained from the Velocity data, shows the acceleration and deceleration phases of the mechanism.

It is evident that the Quick Return Mechanism is highly efficient in producing rapid forward motion for shaping operations, while returning to the starting position relatively quickly. This characteristic is especially advantageous in applications such as shaping machines, screw presses, and power-driven saws, where speed and precision are essential. However, it is essential to consider the potential drawbacks, including increased wear and tear on components due to the rapid reciprocating motion.

Moreover, during the experiment, it was crucial to minimize parallax errors when recording data. By aligning the observer directly above the apparatus and ensuring that the linear scale was accurately zeroed, we reduced measurement inaccuracies.

Conclusion

In conclusion, this experiment provided valuable insights into the Whitworth Quick Return Mechanism's functionality and behavior. Through the creation of Displacement, Velocity, and Acceleration graphs, we observed how the mechanism efficiently converts rotary motion into reciprocating motion. This understanding of the Quick Return Mechanism's principles and its applications in various engineering fields, including shaping machines and mechanical actuators, can aid engineers in designing and optimizing systems that require rapid back-and-forth linear motion.

It is essential to recognize the advantages of the Quick Return Mechanism's quick return to the starting position, which is particularly beneficial in tasks where time efficiency and precision are critical. However, it is equally crucial to be aware of potential drawbacks, such as increased wear and tear on components due to the rapid reciprocating motion. Engineers should carefully consider these factors when selecting and designing mechanisms for specific applications.

Updated: Jan 08, 2024
Cite this page

Determining Displacement, Velocity, and Acceleration Diagrams of Whitworth Quick Return Mechanism. (2024, Jan 03). Retrieved from https://studymoose.com/document/determining-displacement-velocity-and-acceleration-diagrams-of-whitworth-quick-return-mechanism

Determining Displacement, Velocity, and Acceleration Diagrams of Whitworth Quick Return Mechanism essay
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