By Alan Darbyshire
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Additional info for Mechanical Engineering, 2nd Edition: BTEC National Engineering Specialist Units
For more simple systems such as a concentrated mass, a rotating ring, a disc and a rotating link, the values of k can be found from simple reasoning or by applying integral calculus as follows. 53 Let the thickness of the disc be t and the density of its material be kg mϪ3. 7071 in your electrical principles studies where it gives the root-mean square value of an alternating current when multiplied by the peak value. This is very much the same idea, since the radius of gyration is the square root of the sum of all the squared values of the elemental radii.
The density of the material is 7200 kg mϪ3. 5 Nm. Determine (a) the moment of inertia of the flywheel, (b) the angle turned during the period of acceleration, (c) the angular acceleration, (d) the driving torque, (e) the average power developed by the driving motor. To check your understanding of the preceding section, you can solve Review questions 26–31 at the end of this chapter. Linear and rotational kinetic energy The kinetic energy of a body when travelling at a particular speed is the work that has been done during the period of uniform acceleration to overcome its inertia.
Compressive loads produce compressive stress and these are sometimes given a negative sign. You will recall from the work you did in the core unit Mechanical Principles and Applications that the approved SI unit of stress is the Pascal although you will often ﬁnd its value quoted in N mϪ2 and Nm mϪ2. These are in fact more convenient and because many engineers prefer them, you will still see them used in trade catalogues, British Standards and engineering publications. Direct strain KEY POINT A sign convention which is often used is that tensile stress and strain are positive and compressive stress and strain are negative.
Mechanical Engineering, 2nd Edition: BTEC National Engineering Specialist Units by Alan Darbyshire