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Mechanical principles of dynamic engineering systems
Published in Alan Darbyshire, Charles Gibson, Mechanical Engineering, 2023
Alan Darbyshire, Charles Gibson
The unit of angular displacement or angle turned is the radian. There are other ways of measuring angles you will be familiar with, such as degrees of arc and number of revolutions turned. However, it is the radian that we must use in our formulae because it is a natural way of measuring angles and specified as the supplementary SI unit for angular measurement. A radian is the angle subtended at the centre of a circle by an arc equal in length to the radius (Figure 2.8).
Introduction
Published in Getu Hailu, Michal Varchola, Peter Hlbocan, Design of Hydrodynamic Machines, 2022
Getu Hailu, Michal Varchola, Peter Hlbocan
Angular velocity is the time rate of angular displacement. Angularvelocity=Angulardisplacementtime≡s−1≡[T−1]
Angular motion
Published in Paul Grimshaw, Michael Cole, Adrian Burden, Neil Fowler, Instant Notes in Sport and Exercise Biomechanics, 2019
However, it is important to point out again that this is the average angular velocity that occurs between position 1 and position 2 (i.e. it is not an instantaneous value) for every point along the upper limb or segment. In this case the more the time interval or angular displacement tends towards a zero (or small) value the more the instantaneous measure of angular velocity. In this example, angular displacement is defined as the difference between the initial and final angular position of the object or segment (in either a clockwise or an anti-clockwise rotation).
Influence of tip modification on performance characteristics of involute spur gears
Published in Australian Journal of Mechanical Engineering, 2020
Wasiq A.M. Abdul, Timothy L. Krantz, Iqbal Shareef
In this study, TE was calculated as an angular displacement in units of radians. However, most commonly TE is quantified as a linear dimension along the line-of-action by multiplying the angular displacement in radians with the base circle radius. TE in linear dimension was obtained by multiplying the angular displacement in radians with 41.8 mm, the base circle radius of both gear and pinion. A full matrix consisting of 3 modification types and 10 magnitudes of modification resulted in 30 unique modifications. For each of 30 different modifications, a plot of the TE was obtained by analysis. A typical plot of TE for the case of linear modification of 0.1524 mm (0.006″) is shown in Figure 4, in which TE is shown both in units of radians and micrometres. The STE was quantified in three different ways: peak-to-peak, root mean square and total area of TE, which are described in the following.