• Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month
Page
  1. 1
    1
  2. 2
    2
  3. 3
    3
  4. 4
    4
  5. 5
    5
  6. 6
    6
  7. 7
    7
  8. 8
    8
  9. 9
    9
  10. 10
    10
  11. 11
    11
  12. 12
    12
  13. 13
    13
  14. 14
    14
  15. 15
    15
  16. 16
    16

Trifilar Suspension Lab experiment

Extracts from this document...

Introduction

________________ Mechanical Engineering Science 5 ? Dynamics Lab Report Trifilar Suspension Abstract By using the trifilar suspension set up it is possible to calculate the moment of inertia of rigid bodies. By completing the experiment and acquiring actual data results these can then be compared to the theoretical values calculated to show the difference. Introduction ?The Mass Moment of Inertia of a solid measures the solid's ability to resist changes in rotational speed about a specific axis, the larger the Mass Moment of Inertia the smaller the angular acceleration about that axis for a given torque. The mass moment of inertia depends on a reference axis, and is usually specified with two subscripts. This helps to provide clarity during three-dimensional motion where rotation can occur about multiple axes.? [1] ?The actual trifilar suspension is an assembly that is used to determine the moment of inertia of a body about an axis passing through the body?s mass centre, perpendicular to the plane of motion?[2] Image shows trifilar suspension set up: [image taken from http://www.tpub.com/content/MIL-SPEC/MIL-S/MIL-S-81963B/MIL-S-81963B00038.htm] Occurrence in Industry The type of motion looked at in this experiment can be seen in many areas of engineering, making it important to understand the components involved in simple harmonic motion so as to be able to design products accordingly, the following are just a few examples of where the theory is used. Car Suspensions: As the suspension of car moves up and down in the y axis as time progresses the content of the experiment relates closely to working of suspension making it easier to design successful systems. ...read more.

Middle

Hanger holding suspension chains The Suspension was set up as shown in the diagrams below: Suspension plate that objects will rest on Chains connect suspension plate to hanger The diagram below shows the set up of the objects on the suspension plate when the objects are offset from the centre of the platform, which will be the first set up for the experiment Cylinder Square section Tube Circular Platform This diagram shows the plate with objects concentric to the platform which will be the second set up for the experiment Tube Circular Platform Square section Cylinder The third set up for the experiment will simply be the platform on its own with no objects. Experiment Data Density of mild steel, 7,800kg /m3 Table taken from http://vision.hw.ac.uk/courses/1/B58EC_2011-2012 Length, L, of chains (m) that attach the platform to the hanger (All chains should be equal in length, making the platform level) = 1.930m Total mass, M, of platform and objects (kg) = 2 + 6.82 + 2.196 + 2.503 = 13.519 kg Procedure The first step of the experiment is to inspect the set up of the trifilar suspension, making sure the chains are tight and the platform is level and free to move without obstruction. Next the length of the chains connecting the suspension to the hanger must be measured using the metre stick. Now the object must be placed on the circular platform as discussed before at a set distance from the centre of the platform. ...read more.

Conclusion

as not all energy goes to rotational movement Human error involved in making sure the platform is displaced by exactly the same distance each time Human error involved in sighting when the platform has completed an oscillation. Objects were not held in place during the experiment, so again movement on the horizontal plane may have occurred which would again affect the results. Masses of the objects may not be precise as they were taken as given rather than measured on the actual day. Conclusion The trifilar suspension proves there is a relationship between the polar moment of inertia and the equation for periodic time, T, derived from the simple harmonic motion of the assembly. By completing the experiment it is clear to see that periodic time, of both calculated and experimental, are directly proportional to the ratio if experimental errors are taken into account. If the experiment was to be undertaken again, the following steps could be taken to increase the accuracy of the results: Take more results for the periodic time for all set ups (being restricted by time we were forced to only take three readings for both concentric and no object set ups. Devise a way to ensure the platform is displaced by the same amount each time, this could be done by use of a small post and visible mark on the platform, making sure both are aligned correctly before release. Use more and different arrangements of the solid objects to gain an even wider picture of the workings of the assembly. ...read more.

The above preview is unformatted text

This student written piece of work is one of many that can be found in our University Degree Engineering section.

Found what you're looking for?

  • Start learning 29% faster today
  • 150,000+ documents available
  • Just £6.99 a month

Not the one? Search for your essay title...
  • Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

See related essaysSee related essays

Related University Degree Engineering essays

  1. Airflow and Venturi Experiment Report

    The element being considered is an annulus, and since it is infinitely small it can be considered ?A = 2 ? r * ?r (eqn. 12) so ?m? = ?air V(r) . 2 ? r * ?r (eqn. 13) The total mass flow rate is the sum of these elements from the centreline (r=0)

  2. Extrusion. The aim of this experiment was to examine the effects of different cross ...

    blnR accounts for the amount of useful work where R is the extrusion ratio a = 0.8; b = 1.5 Empirical expressions have been developed by research workers to give extrusion pressure as a function of the extrusion ratio and the mechanical properties of the metal.

  1. Laser Doppler Anemometry Experiment

    of the laser light: fD = 2Ux Sin? / ? Equation [1] Where Ux is the velocity of the particle in the horizontal x direction, ? is the wavelength of coherent laser light. The fringe spacing "?x" was calculated using the following relation: ?x = ? / 2Sin?

  2. DENSITY LAB. The purpose of this lab experiment is to determine the density ...

    Trial Mass (M) Length (L) Width (W) Height (H) Volume (V) Density (?) 1 192.8 g 3.457 cm 3.154 cm 9.769 cm 106.5151 cm3 1.8101 g/cm3 2 192.8 3.456 3.157 9.770 106.5965 1.8087 3 192.9 3.459 3.153 9.769 106.5429 1.8105 4 192.9 3.456 3.154 9.772 106.5170 1.8110 5 192.8 3.456 3.153 9.770 106.4614 1.8110 Ave 192.8 3.457

  1. Heat transfer rates. This experiment is to calculate the heat transfer rates from ...

    and Free Stream Temperature (K) Heat transfer is found from determining the Nusselt number Nusselt Number , Thermal Conductivity k (W/m.K), Diameter of cylinder Nusselt Number calculated using the Churchill-Chu correlation This requires the Rayleigh Number based on the diameter of the cylinder Volumetric thermal expansion coefficient (�)

  2. Free & Forced Convection Lab. The following laboratory consists of experiments conducted to ...

    [1] Similarly the heat transfer coefficient calculated by using the equation: was in the range specified for the free convection of gases, 2-25 W/(m*K), therefore the percent error is 0 %. [1] It can be confirmed that natural convection is taking place since the fluid motion is caused by buoyancy

  1. Heat Conduction Lab. The objective of this lab was to learn and understand ...

    An individual can extrapolate, from the temperature profile (refer to Figure #4 - Appendix A), the idea that as the hot water travelled the length of the heat exchanger, its temperature declined. Conversely it can also be deduced that the cold water temperature increased as it passed through the heat exchanger.

  2. This report booklet contains the detailed procedures and results of the experiment on the ...

    (Although the pressures needed may be around a thousand times smaller for sandy soil and some clays.) A one percent expansion of volume typically requires a temperature increase on the order of thousands of degrees Celsius. In contrast, the density of gases is strongly affected by pressure.

  • Over 160,000 pieces
    of student written work
  • Annotated by
    experienced teachers
  • Ideas and feedback to
    improve your own work