Bowmar MX 140, Operating Instructions Manual

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Page 2: ...BOWMAR INSTRUMENT CORPORATION 8000 Bluffton Road Fort Wayne Indiana 46809 ATTN Customer Registration Place Stamp Here ...

Page 3: ...Name _ _ Type of Store _DeptjDJscount _Office Equip Stationery _ Student Book Radio TV Appliance Mail Order _Other _ How did you first hear about Bowmar Brains _ Friend _Dealer _ _ Magazine Ad_ TV Ad_Other _ Who purchasedL Self_Spouse_Parent_Other _ Was the calculator a gift _Yes_ No Age _Under 24_24 35_36 50_0ver50 Occupation Industry _ Did you fill in ZIP ...

Page 4: ...his warranty does not apply to any product which has been damaged by accident or which has been misused altered or repai red by anyone other than Bowmar This warranty is in lieu of all other warranties expressed or implied and no person is authorized to assume for Bowmar any other liability in connection with the sale of this product To obtain repairs the Calculator should be delivered prepaid to ...

Page 5: ...STRUCTIONS Data Entry Mathematical Functions of Two Variables Power of Numbers Mathematical Functions of One Variable Trigonometric Function Unit Selection Internal Register Manipulation Parentheses Memory Control INTRODUCTION 3 OVERVIEW OF FEATURES 4 OPERATION 6 6 7 7 8 8 10 11 11 11 13 15 16 16 17 22 ...

Page 6: ...ONS 23 Result Errors 23 Function Errors 24 ACCURACY 26 Truncation Error 26 Algorithmic Errors 26 SAMPLE PROBLEMS 29 Mathematics 29 Physics 32 Chemistry 34 Electronics 37 Mechanics 40 Unit Conversions 43 Business 45 ...

Page 7: ... paper and pencil We suggest that you read through and keep this booklet of operating instruc tions with your MX140 to be sure of obtaining all of the performance this versatile calculator can provide HIGHLIGHTS Scientific notation Parenthetical operationt 2 level Large LED displav Fully floating decimal Full algebraic operation Fully operational memory Rechargeable and AC operation 115 230V switc...

Page 8: ...IN COS TAN Inverse Trig Functions SIN I COS TAN I Logarithms LN lOG Antilogarithms eX lOX Exponentiation yX Convenience Functions I X x z Memory STO RCL M M X Register Exchange Operations XY XM Degree Radian Selection DEG RAD Automatic Error Detection and Indication Clearing Operations C CE MC CF CF ...

Page 9: ...tion lO digit mantissa 2 digit exponent Example Value Possible Entry Display 10 052 10 052 10 052 6 000 000 6 F EE 6 6 0 00023 23 F EE F 3 0 23 03 Automatic Selection of Correct Notation Scientific or Standard for Displayed Results Leading Zero to Avoid Misinterpretation of Decimal Point ...

Page 10: ...e used Example 2 3 x 6 30 but 2 F 3 x 6 F 20 Two Parentheses Levels Example 2 F 3 x F 4 5 F F 29 Chain Continuous Calculations Example 4 x 2 3 5 10 OPERATION AC OPERATION Connect the Charger to an appropriate electrical outlet as referenced on your Bowmar Charger Plug the connector into the calculator and turn the power switch on ...

Page 11: ...r may be used during the charge period if desired It requires 8 hours to fully charge a battery which has been completely discharged In most cases an overnight charge should be adequate NOTE Although no damage will result from prolonged periods with the Charger connected it is advisable to re move the Charger when it Is not in use or after a full recharge cycle CAUTION To avoid possible damage use...

Page 12: ...ry functions labeled above it The selection of an auxiliary function is employed by depressing a Function Key The F Key selects the left hand auxiliary function le g the SIN function above the 7 Key while F selects the right hand function e g VXabove the 6 If only one auxiliary function appears above the key it will be selected by either F or F e g l X above If F is depressed when F was intended s...

Page 13: ... tJ r mro 0 mmG JD ...

Page 14: ...d to enter a number or if the result of a calculation requires that the result be presented in this way Indication symbols that may appear in the left most position are as follows Negative Number r Positive Answer Overflow or Underflow or Illegal Operation F Negative Answer Overflow or Underflow or Illegal Operation L Low Battery Positive Number I Low Battery Negative Number Radian Mode The Displa...

Page 15: ...point position F EE Conditions calculator for acceptance of following exponent value F Change sign of mantissa or exponent if EE was pressed prior to this Cannot be used after In this case multiply by 1 MATHEMATICAL FUNCTIONS OF TWO VARIABLES In the operation of certain mathematical functions X yX two variables are employed Operation of the following functions X Y computes any pending function and...

Page 16: ...x 2 4 5 2 Operate Display Comment 3 3 Stores multiply command 2 6 Executes 3 x 2 and stores a command 4 10 Executes 6 4 and stores divide command 5 2 Executes 10 5 Computes all pending functions and sub problems ...

Page 17: ...ple 3 243 Operate Di play Comment 3 3 yx 3 5 243 Answer NOTE If two or more of these function keys are de pressed in direct sequence the last key is assumed by the calculator Therefore if the wrong function key X yX is depressed accidentally merely press the proper key and continue 13 ...

Page 18: ...Example 2 x 3 1 5 Comment 2 2 3 6 Previous operation executed but wrong command stored 6 Correct command stored 1 5 ...

Page 19: ...priate operation key The result immediately replaces the number operated upon in the display F LOG Common Base 10 log F lOx Base 10 exponential F LN Natural log F eX Base e exponential F X Square F x Square root F 1IX Reciprocal F SIN Sine F COS Cosine F TAN Tangent F SIN Arcsine F COSo Arcosine F TAN Arctangent 15 ...

Page 20: ...tpower on the MX140 is set for degrees Degree Radian selection may be changed any time before after or during any problem INTERNAL REGISTER MANIPULATOR F XV Exchanges contents of X and Y registers These registers are used in functions of two variiibies For example in the problem 2 x 3 the 2 first enters the display the X register and then when the x is entered the 2 is moved to the Y register ...

Page 21: ... If no prior open parenthesis key was depressed the close parenthesis key is ignored Closing parenthesis is not necessary unless followed by another command Pressing after entering total problem will execute problem in proper sequence and display answer to total problem directly Solution to inter mediate sub problem in parentheses may be displayed by closing the corre sponding parenthetical expres...

Page 22: ...Example 1 8 2 x 3 14 F 2 X 3 Possibilities for correct F J result 8 8 O 2 2 3 14 6 14 Prior command stored Sub problem executed and displayed ...

Page 23: ...F J F J Display 8 8 O Command stored 2 2 O 2 2 1 14 No closing parenthesis results in direct answer 3 Prior sub problem executed and result displayed_ 14 3 Prior sub problem executed and result displayed 6 First sub problem executed and displayed 14 ...

Page 24: ...pts at using additional parentheses levels will cause an illegal entry indication rl on display and terminate calculation Any number of parentheses pairs in succession is possible because closing a pair completes that sub problem Example 3 2 x 4 2 x 5 2 x 2 14 F O 2 2 X 2 4 4 F 8 8 F O Cant ...

Page 25: ...Operate 2 X 5 Fll Display 2 2 5 10 18 Prior functions executed and new command stored F O 2 2 X 2 2 2 F 4 14 71 ...

Page 26: ... memory displayed Memory remains unchanged MC Clears memory only M Adds contents of display to contents of memory Display remains unchanged F M Subtracts contents of display from contents of memory Dis play remains unchanged F XM Exchanges contents of display and memory Memory operations can be used at any time Example 1 2 F STD x 3 9 Memory contains 2 3x F RCl 4 1 5 ...

Page 27: ...e of handling For excessively large or excessively small numbers an overflow of underflow indication will appear Largest 9 999999999 x 1099 Smallest 10 99 RESULT ERRORS A result displayed with an overflow or underflow indication may be read correctly by adding 100 to a positive exponent and 100 to a negative exponent Example Operate 9 F EE 99 X Cant ...

Page 28: ... cannot be executed over the full range of numbers because they are undefined The following table lists the functions of the calculator and the expected range Functions used outside of this range will result in an error display Function X Y X V XxV X Y All numbers All numbers All numbers All numbers Y oF 0 Cant ...

Page 29: ... X jX l X SIN X COS X TAN X SIW Xl COS X TAW X V O X 100 LN 10 LN VI X O 99 X 100 X O X 100 LN 10 All numbers X O All numbers X if 0 All numbers All numbers All numbers lXI if N 2 RAD or N 90 IXI 1 IXI 1 All numbers 25 ...

Page 30: ... calculator will round the 10th digit Truncation errors are cumulative and increase become worse with successive operations ALGORITHMIC ERRORS The limited precision of the constants used in a process may contribute to the overall accuracy of a calculation Certain functions become less accurate within a range of inputs Thus each function is capable of different degrees of accuracy The following cha...

Page 31: ...hart defines error as 2 ent in D1O read as 2 counts in digit 10 Therefore maximum error is 2 in this digit the last 7 on the right Maximum Mantissa 1 cnt in OlD 1 cnt in 010 1 ent in 0 10 1 cnt in D10 6cntin 0 10 1 cnt in D10 1 ent in 0 10 2 cnt in 0 10 4 ent in D10 2 ent in 0 9 X y X V XxV X Y y x 1 X X2 VX LOG X Cant ...

Page 32: ... 2 ent in Ds SIN 0 1 1 1 360 or 2 RAD 5 ent in 0 9 COS 0 1 1 1 360 or 2 RAD 5cnt in D TAN 0 1 1 90 or 2 RAD 0 1 1 1 85 5cnt in D 85 1 1 1 89 Bent in Os SIN l lO l o IXI l 0 IRI 90 E 3x 10 7 COS l lO l o IXI l 0 IRI 90 E 4xl0 7 90 IRI 180 E 4x 10 TAN l 0 IRI 90 E 3x 10 7 LNX IRI 10 1 ent in DIO RI 10 4cnt in DIO R Result as displayed E Error ...

Page 33: ...lution are not absolute as you may prefer to solve the problem in a different manner and still attain the correct anSWer In any case you may find it useful to attempt to solve the problem yourself before examining our method of computation MATHEMATICS Example 1 Find the length of H L J 25 Solution H Pythagorean theorem Where x 25 Y 20 Answer 32 01562118 Computation 25 F X 20 F X F VX ...

Page 34: ...formula is typically employed b N 2 quadratic formula Where a 5 b 6 c 11 Answer Root 1 N 2 2 Root 2 N 1 Display Computation 6 F X2 b 2 F 4 X 5 X 11 F 4 c FVX b2 4ac F STO Copy stored for second root 6 bh b2 4ac 2 5 Root 1 NOTE Do nat clear memory until bath roots are calculated F RCL F Vb2 4 c 6 _6_ b2 4ac 2 5 Root 2 ...

Page 35: ...e 8 a 3 b 2 Solution P 211 v a b 2 Where a 3 b 2 Answer 16 01904224 Computation 3 F X 2 F X 2 F VXX F 11 X 2 Example 4 Solve COS 4238 Answer 0 911532862 Computation F RAD 4238 F COS Example 5 Solve 51 N 32 TAN 325 Answer 0 866867019 Computation 32 FSIN F RAD 325 F TAN ...

Page 36: ... of wire carrying 2 amps in a mag netic field of 0 4 wb m2 Torque 8 30 Radius of wire loop 1 65m Solution T lAB SIN 8 Where B 0 4 wb m2 7 torque I 2amps 8 30 A 11R2 area R 1 65m Answer 3 421194393 Computation 2 X F 11 X 1 65 F X2 X 4 X 30 F SIN ...

Page 37: ...e the moment of inertia of the body if the frequency is measured at 2 Hz The center of inertia is O 25m meters from the pivot point Solution I _J J MGL 211F Where M 1 5 kg G 9 8 m sec2 gravitational constant L 0 25m F 2 Hz Answer 2_327220935 02 kg_m2 Computation 2 X F 11 X 2 F 1IX F X2 X 1 5 X 9 8 X 25 ...

Page 38: ...hat is the loss of energy By immersing the apparatus in an ice water bath the temperature remains at a constant 273 K W MRT N IN V2 V Where M 2 kg N 28 kg mole molecular weightl VI previous volume V2 present volume V2 V 5 R 8310 V kg mole OK constant 112321 0349 joules Computation 5 F LN X 273 X 8310 X 2 28 ...

Page 39: ...ed and allowed to come to a thermal equilibrium The two volumes have 1 2 kg masses the same specific heat of 0 3 and different temperatures of 73 K and 11S o K S2 S MC LN T T 2 2 Where S2 S change in entropy M 1 2 1 2 2 4 kg C 0 3 T 73 K T2 115 K 3 686255568 02 Computation 73 115 F X2 4 73 115 F LN X 3 X 2 4 ...

Page 40: ...uted for Mg2 in the MgO Structure The ion ratio is _ Mole Ratio Atomic Numbers O 16 Mg 24 31 Fe 55 85 Avogadro s Number 6 02 x 10 Solution Answer 17 24 31 16 Weight MgO 17 24 31 16 Weight Ratio 10 55 85 16 10 55 85 16 WeightFeO 6 02 x 10 9 537508698 01 computation 17 X F 24 31 16 7107 F 55 85 16 ...

Page 41: ...ELECTRONICS Example 1 Give the equivalent of the following parallel resistances Answer 55 85715258Q Computation 4 7 F EE 6 F l X 2000 F l X 100 F l X 350 F l X 220 F l X F l X ...

Page 42: ...xample 2 Find the current I T 0 1 msec after the switch is closed R vc JL 1m Solution Expression for current in the RL network is I T 1_e RT L Answer 1 59467808 03 amps Computation 100 F X 1 F EE 3 F 1 5 F eX F 1 X 24 100 ...

Page 43: ...the approximate self inductance in microhenrys of the illustrated coil Solution FRi B L 6R 9H lOB H 0 2 in R 1 5 in B 0 2 in N no of turns 25 Answer 87 890625 pH Computation 1 5 X 25 F X2 X 8 F 6 X 1 5 F 9 X 2 F F 10 X 2 ...

Page 44: ... 880 rpm meter employed to drive a fan at 210 rpm when the fan pulley diameter is 24 in Solution Computation 24 X 210 880 Answer Where Dr diameter of driver On diameter of driven 24 in Nr rev of driver 880 rpm Nn rev of driven 210 rpm 5 727272727 in 210 rpm ...

Page 45: ...ey carrying line shaft must transmit 4 hp at 300 rpm How thick must the shaft be if the only force is tortional Solution D 3 75 3 75 HP N 113 Where HP 4 hp N 300 rpm Answer 0 889223325 in Computation 3 75 X F 4 300 yX F 1 3 ...

Page 46: ...ft If the pulley diameters are 6 in and 3 in respectively what is the length of belting required Answer 4 188495889 ft Solution 110J 11D Jc D D L 2 2 2 2 Where D 6 in 0 5 ft D 3 in 0 25 ft C 1 5ft Computation F 11 X 5 2 F STO F 11 X 25 2 F M 2 X F 1 5 F X F 5 25 2 F I F X F F x F M F RCl ...

Page 47: ... B 10 ft Solution 1m 3 280840 ft A 9 753599687m B 3 047999902m Computation 32 3 28084 F STO 10 F RCL C 2ft DJ 0 25 ft C 6 095999804 Olm Dj 7 6J9999756 o m 2 F RCL 25 F RCL Example 2 Convert the following from kilometers to miles A 500 km C 10 km B 300km D 2km Solution 1 mi 1 609344 km ...

Page 48: ...C 6 213711922 mi 01 1 242742384 mi 10 F RCL 2 F RCL Example 3 Convert the following from pound to kilogram A 200 lb C 5 lb B 10 lb 0 0 25 lb Solution 1 Ib 0 453592 kg Answer A 90 7184 kg B 4 53592 kg C 2 26796 kg DlO 113398kg Computation 200 X 453592 F STO 10XFRCL 5 X F RCL 25 X F RCL ...

Page 49: ... loan borrowed for three years at 13 per year M P 1 i n l Where M monthly payment P principal 100 000 i monthly interest rate annual rate 13 12 n number of periods 12 months x 3 years 36 Answer 3369 395253 3 369 40 Computation 13 12 1 yx 36 F STO X 13 12 F F RCL 1 X 100000 ...

Page 50: ...lot of widgets is 25 000 and the cost of holding a widget in inventory for a month is 1 75 in what size lots should widgets bemanufaetured O j Where 0 Economic Order Ouantity K setup cost 25000 M demand per unit time 2000 h holding cost per unit time 1 75 Answer 7559 289459 7559 widgets Computation 2 X 25000 X 2000 1 75 F VX ...

Page 51: ...and uoccasional readers by sex as shown in the following table Type of Reader Regular Occasional Total Female 152 498 650 Male 523 772 1295 Total 675 1270 1945 Using a X chi squaredI test determine whether there is a relationship between sex and the type of reader of Playhouse NOTE At the 01 probability level X 6 635 ...

Page 52: ...Stk No 16615 A920 903 0 Printed in U S A ...

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