Protractors

Ouija board (registered trademark of Eastern Whipstock) An instrument composed of two protractors and a straight scale that is used to determine the positioning for a deflecting tool in an inclined wellbore. 

Protractor half-circle with tick marks around the edge spaced at one-degree intervals, used to measure angles only one type, made of metal or plastic... 

Ball-and-stick molecular-model building kit protractor drawing paper colored... 

Complete the table, drawing each molecule and predicting each geometric shape. Use a protractor to measure the bond angles for each model. Discuss your answers the teacher should provide correct answers. 

The cyclophyllidean oncosphere is well supplied with musculature and the general pattern of muscles appears to be similar in most species. So in both Hymenolepis citelli (which penetrates an invertebrate gut) and E. granulosus (which penetrates a vertebrate gut) there are 16 somatic muscle cells (146, 839). However, E. granulosus has 16 hook muscle cells but H. citelli has only 13. In E. granulosus, the hook muscles have been shown to insert at the collar and base of the hooks and at the basal lamina of the embryonic epithelium. Each pair of hooks has three muscle systems associated with it (a) a protractor system, for hook extensions (b) an abductor system, which draws the hooks together and (c) a retractor system which pulls the hooks into the body (839). 

Schematic diagram of a polarimeter. The light originates at a source (usually a sodium lamp) and passes through a polarizing filter and the sample cell. An opticahy active solution rotates the plane of polarized light. The analyzing filter is another polarizing filter equipped with a protractor. It is turned until a maximum amount of fight is observed, and the rotation is read from the protractor.

More exact computations of this relationship, based on Mie s theory, are shown in Figs. 17.8 and 17.9. A device known as the aerosol owl can be used to make these measurements. It consists of a viewing chamber on which a telescope is mounted that can be rotated through roughly 160°. A protractor is attached to the telescope so that the angle at which a red is observed can be noted. The number of reds found... 

Fig. 3 The angle-of-repose plate incorporates a protractor, an indicator wire, and a jarring device for angle-of-fall tests. (From Chem. Engi. 1965, 18, 164.)...

Use a protractor and the angles you calculated to divide the circle into parts. Place the center of the protractor over the center of the circle and line the base of the protractor over the straight line. 

If the orientation dependence of the resonance frequency of a spin 5 is determined by just one interaction, it can be exploited for use as a protractor to measure angles of molecular orientation. In powders and materials with partial molecular orientation, the orientation angles and, therefore, the resonance frequencies are distributed over a range of values. This leads to the so-called wideline spectra. From the lineshape, the orientational distribution function of the molecules can be obtained. These lineshapes need to be discriminated from temperature-dependent changes of the lineshape which result from slow molecular reorientation on the timescale of the inverse width of the wideline spectrum. The lineshapes of wideline spectra, therefore, provide information about molecular order as well as about the type and the timescale of slow molecular motion in solids [Sch9, Spil]. 

Fig. 3.1.3 Solid-state wideline speetra. (a) Powder spectrum as isotropic average for an axially symmetric coupling tensor (r/ = 0). The resonance frequency is related to the orientation of the coupling tensor hy (3.1.23) and can serve as a protractor for molecular orientations relative to the magnetic field, (b) Powder spectrum for t) = 2/3.

Fig. 3.3.5 H decoupled C spectra of isotactic polypropylene for different spinning frequencies o>r =l7tv and orientation angles i/r of the rotation axis, (a) Static sample. The wideline resonances of the different carbons overlap, (b) MAS spectrum with fast sample spinning. Narrow signals are observed at the isotropic chemical shifts only, (c) MAS spectrum with slow sample spinning. In addition to the centre line, sideband signals are observed at seperations naiR from centre lines, (d) OMAS spectrum with fast sample spinning. The orientation of the axis deviates from the magic angle. Each resonance forms a powder spectrum with reduced width, which can serve as a protractor (cf Fig. 3.1.3). Adapted from [Blu4] with permission from Wiley-VCH.

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