referring now to fig1 - 3 , the device designated by reference numeral 1 will hereinafter be referred to as &# 34 ; clinometer 1 &# 34 ;, even though the device can be utilized to indicate angle of inclination or amount of acceleration ( or deceleration ). clinometer 1 includes a cylindrical housing section 10a having a circular , perpendicular rear wall supporting a cylindrical spacer 22 that is concentric with the cylindrical housing section 10a . a mounting hole 30a extends through spacer 22 , aligned with the axis thereof . a circular right end cover 10b is attached to the open right end of the housing 10a parallel to the left circular end , thereby defining a toroidal cavity within clinometer 1 . as indicated in fig2 housing 10a and the circular right cover 10b are composed of dielectric material , as is cylindrical spacer 22 . preferably , cylindrical spacer 22 is integral with housing 10a . an opening 30b in circular cover 10b is concentric with opening 30a , thereby providing a mounting hole by means of which the clinometer 1 can be attached to a body such as a level or other apparatus , the angle of inclination of which is to be measured . a ring conductor 12 having a circular cross - section is attached to the interior surface of housing 10a . a conductive terminal 16 extends through the insulative wall of housing 10a , making electrical contact to ring conductor 12 , allowing external electrical connection thereto . a nearly annular layer of highly resistive material 14a is disposed on the vertical inner surface of the circular rear wall of housing 10a . as best seen in fig3 resistive layer 14a begins at the left side of a narrow gap 26 , and extends around the insulative spacer 22 all the way to the opposite side of a narrow gap 26 in the upper portion of annular resistive layer 14a , which preferably is approximately 15 mils wide , or wide enough to prevent current from crossing the gap . a conductive terminal 18a is connected to the portion of annular resistor 14a along the entire width thereof adjacent to the left side of gap 26 by means of conductor 28a . a similar conductive terminal 18b is connected to the portion of annular resistor 14a along the entire width thereof adjacent to the right side of gap 26 by means of conductor 28b . an entirely similar nearly annular resistor 14b is formed on the vertical inner face of circular cover 10b , as shown in fig2 . conductive terminals 18c and 18d extend through the insulative wall of cover 10b , allowing external electrical contact to the opposite ends of annular resistor 14b . ring conductor 12 may be positioned in off - center relationship to heavy conductive ball 20 ( described subsequently ) to favor its electrical contact with one or the other of resistors 14a and 14b . in accordance with the present invention , the heavy , smooth surfaced , precisely spherical conductive ball 20 is disposed in and moves freely within the annular &# 34 ; raceway &# 34 ; defined by conductor 12 and the two highly resistive nearly annular side walls 14a and 14b and the cylindrical spacer 22 . conductive ball 20 naturally rolls to the lowest point of the annular cavity of clinometer 1 , gently &# 34 ; wiping &# 34 ; and making electrical contact with one or the other of vertical annular resistors 14a or 14b . note that axis 27 ( fig3 ) is precisely aligned with the center of the annular cavity and the center of gap 26 . as subsequently described , the external circuitry connected to terminals 18a - d can be adjusted to indicate a &# 34 ; zero &# 34 ; point or &# 34 ; level &# 34 ; point at any point along annular resistors 14a and 14b . the readout then indicates the amount clinometer 1 is inclined in the direction of arrow 8a or 8b from that present zero point . for example , as clinometer 1 is tilted in the direction of arrow 8a in fig3 conductive ball 20 provides an electrical connection between the ring conductor 12 and the ball - to - resistor contact point of resistor 14a , decreasing the resistance between terminals 16 and 18a in proportion to the angle of inclination , and increasing the resistance between terminals 16 and 18b in proportion to the angle of inclination . if clinometer 1 becomes inclined in the direction of arrow 8b , the resistance between terminals 16 and 18a increases to higher values in proportion to the angle of inclination in the direction of arrow 8b , while the resistance between terminals 16 and 18b decreases . the resulting voltage division produces a pickup voltage on terminal 16 which is sensed by a sensing circuit , suitably processed , and converted to a digital readout that indicates both the direction or polarity of the inclination of clinometer 1 and the magnitude of the angle of inclination of axis 27 ( fig3 ) from vertical . as a practical matter , it may be desirable to provide a very high amount of resistance between the opposite ends of annular resistor 14a . in order to accomplish this without use of material having an extremely high resistivity or sheet resistance , a serpentine , annular resistive pattern 114 may be provided for annular resistors 14a and 14b as shown in fig4 and 5 . alternately , an annular wound resistive structure could be used to implement annular resistor 14a . the term &# 34 ; serpentine &# 34 ; as used herein is intended to encompass both planar serpentine resistive patterns and wound resistor structures . quite a variety of techniques could be utilized for providing a thin layer of resistive material on the vertical walls of housing 14a and cover 14b to provide reliable electrical contact to conductive ball 20 as it &# 34 ; wipes &# 34 ; the resistive material while rolling to the lowest point in the annular cavity . for example , various resistive materials can be silkscreened or vapor deposited onto the insulative surfaces . a problem that can arise if clinometer 1 is mounted on a structure that is subject to a large level of vibration is that electrical contact between conductive spherical ball 20 and the annular resistors 14a and 14b and the cylindrical conductor 12 can be intermittent , causing signal processing errors and / or readout errors . in accordance with the present invention , a variety of techniques are disclosed for damping the &# 34 ; bouncing &# 34 ; of conductive ball 20 due to vibrations . in fig6 the annular cavity is filled with electrically insulative dielectric fluid , as indicated by horizontal dashed lines 29 . the dielectric fluid does not modify electrical contact between the annular resistive pattern 114 and cylindrical conductor 12 , but acts to dampen movement of conductive ball 20 relative to cylindrical conductor 12 and annular resistor 114 . fig7 illustrates a structure in which a quantity or bubble 20a of conductive liquid such as mercury replaces conductive ball 20 , providing electrical contact between the resistive annular resistor 114 and conductor 12 indicative of the angle of inclination despite vibration of housing 24 . optionally , dielectric fluid 29 also can be provided in the structure of fig7 . fig8 illustrates another approach to ensuring reliable electrical contact between conductive ball 20 , cylindrical conductor 12 , and the annular resistors 14a and 14b by providing a sufficient number of lightweight electrically insulative , movable balls 21 in the annular cavity . the balls are sufficiently light that they are moved or displaced by forces exerted thereon by heavy spherical conductive ball 20 as it seeks the lowest level in the annular cavity . the weight of the insulative balls 21 and the frictional forces therebetween , and their size dampen bouncing of conductive ball 20 within the cavity due to vibration , improving electrical contact to cylindrical conductor 12 and side wall resistors 14a or 14b . fig9 shows yet another structure for the same purpose . a doughnut - shaped , electrically insulative structure 23 fills the portion of the annular cavity of clinometer 1 not filled by conductive spherical ball 20 , and acts to dampen bouncing of conductive ball 20 caused by vibration of the device , improving electrical contact . fig1 shows an alternate structure in which the annular vertical resistor 14a is replaced by a generally cylindrical resistor 14a that , in conjunction with a similar generally cylindrical conductor 12a , form a race in which conductive ball 20 rolls . resistor 14 has a gap similar to gap 26 of the previous figures , located at its highest portion . as shown in fig1 , the cross - section of the race including resistor 14 and conductor 12a is slightly v - shaped , so that the ball 20 rests in the v - shaped groove , as shown in fig1 . referring next to fig1 , clinometer 1 is shown connected to circuitry which properly electrically biases terminals 18a and 18b ( and similarly biases terminals 18c and 18d if they are used ) with positive and negative reference voltages , respectively , and provides an analog voltage division signal on conductor 16 representative of the ratios between resistance between conductor 16 and conductor 18a and the total resistance between conductors 18a and 18b . in fig1 , terminal 18a is connected to a positive reference voltage produced by a positive voltage reference circuit 64 , and terminal 18b is connected to a negative reference voltage produced by negative voltage reference circuit 65 . conductor 16 is connected to the analog input of a tsc7126 three and one - half bit analog - to - digital converter 34 manufactured by intersil and teledyne . positive reference voltage circuit 64 is connected by conductor 52 to the positive terminal of a six volt battery 55 . reference numeral 56 designates an integrated circuit voltage converter that &# 34 ; inverts &# 34 ; the positive six volts on conductor 52 to produce a negative six volts on conductor 54 . voltage converter circuit 56 can be a siliconix 7661 voltage converter . its output is connected to the cathode of a diode 57 , the anode of which is connected to conductor 54 . conductor 54 also is connected to the negative voltage supply input of analog - to - digital converter 34 . positive six volt conductor 52 and ground conductor are connected to positive reference voltage circuit 64 . similarly , negative six volt conductor 54 and ground conductor 53 are connected to negative reference voltage circuit 65 in fig1 , zener diode 58 performs the function of producing a 1 . 2 volt reference voltage on its cathode , holding that point at precisely 1 . 2 volts above ground voltage conductor 53 . the voltage produced on conductor 62 by the combined action of zener diode 58 , 100 kilohm resistor 59 , 100 kilohm resistor 60 , and 10 kilohm potentiometer 61 provides a precise reference voltage to be applied to pin 36 of three and one - half bit analog - to - digital converter 34 . resistor 59 is connected between + 6 volt conductor 52 and the cathode of zener diode 58 . resistor 60 is connected in series with potentiometer 61 between + 6 volt conductor 52 and the 1 . 2 volt reference point produced by the cathode of zener diode 58 . positive reference voltage circuit 64 includes an lm385 voltage circuit 36 , by national semiconductor . its positive supply terminal is connected by conductor 67 to terminal 18a of clinometer 1 to one terminal of 20 kilohm resistor 41 , the other terminal of which is connected to + 6 volt conductor 52 . the negative supply terminal of regulator 36 is connected to ground conductor 53 . the control input of regulator circuit 36 is connected by conductor 37 to one terminal of 110 kilohm resistor 42 , 500 kilohm potentiometer 38 , and 100 kilohm potentiometer 39 . a single - pole , double - throw switch 40 having its control conductor 40 connected to ground conductor 53 connects the open terminal of potentiometer 38 or potentiometer 39 to the ground voltage . resistor 42 also is connected to terminal 18a . switch 40 of negative voltage reference circuit 65 is ganged with switch 49 , as indicated by dotted line 69 . negative reference voltage circuit 65 also includes an lm385 regulator 44 . its negative supply terminal is connected by conductor 68 to terminal 18b of sensor 1 and one terminal of 20 kilohm resistor 50 . the other terminal of resistor 50 is connected to negative six volt conductor 54 . the positive supply terminal of regulator 44 is connected to ground conductor 53 . the control input of regulator circuit 44 is connected by conductor 45 to one terminal of 110 kilohm resistor 46 , the other terminal of which is connected to terminal 18b of sensor 1 . conductor 45 is also connected to the upper terminals of 100 kilohm potentiometer 47 and 500 kilohm potentiometer 48 , the lower terminals of which are connected to the two switchable poles of single - pole double - throw switch 49 . the control terminal of switch 49 is connected to ground conductor 53 . the function of ganged switch 40 and 49 is to select the type of calibration or type of readout desired from three and one - half digit lcd readout unit 35 . if ganged switch 40 , 49 is in the position shown , the readout is calibrated to indicate the number of degrees of inclination of clinometer 1 from - 90 degrees to + 90 degrees . if ganged switch 40 , 49 is in its opposite position , connecting the lower ends of potentiometer 39 and 48 to ground conductor 53 , the readout will be &# 34 ; percent of grade &# 34 ;, a term used in road construction and railroad construction , wherein the maximum possible grade is defined to be 45 degrees , and the actual inclination is measured in percentage of the maximum 45 degree inclination . if ganged switch 40 , 49 is in the position shown , the voltage + 1 . 800 volts will be produced on conductor 67 , and - 1 . 800 volts will be produced on conductor 68 . however , if ganged switch 40 , 49 is in its opposite state , then + 4 . 0 volts will be produced on conductor 67 and - 4 . 0 volts will be produced on conductor 68 . the digital outputs of analog - to - digital converter circuit 34 are connected to the various segment control inputs of three and one - half bit lcd display circuit 35 , which can be a model sp - 201 , manufactured by seiko . thus , the described embodiment of the invention provides an inexpensive apparatus which can be used as a clinometer , or , if different calibration circuitry is used , as an accelerometer . essentially continuously variable outputs are provided corresponding to as much as about ± 178 degrees of variation in the orientation of the clinometer , depending on the calibration of the device . some embodiments of the invention permit reliable operation in an environment with a high level of vibration . an accurate digital readout is accomplished with low power circuitry . while the invention has been described with respect to a number of embodiments , those skilled in the art will be able to make various modifications to the described embodiment without departing from the true spirit and scope of the invention . it is intended that all structures and techniques which are equivalent to those described herein in that they perform substantially the same function in substantially the same way to achieve the same result are within the scope of the invention . for example , resistor values in the described embodiment of the invention can be changed to cause the digital readout to accurately indicate inclinations of ± 178 degrees . the readout can be analog , rather than digital .