ࡱ> egbcdq` 0bjbjqPqP :X::luuuuhv0zzzzzzL{\{0CEEEEEE$hNikzzkkizzkzzCkCz|z AMuyςt00${|J}|}{{{ii {{{0kkkkDVXZdXZ Common Engineering Unit Conversions - Basic Units Parameter (Basic Units)SI UnitsEnglish / American Unitsmass (m)kilogram (kg)pound mass (lbm)length - distance (L)meter (m)foot or inch (ft or in)time (t)second (s)current (I)Ampere (A)Derived Units Parameter (Derived Units)SI UnitsEnglish / American UnitsForce - weight (F or W)Newton (N)pound or ounce (lbf or oz)Torque (T)Newton-meter (Nm)foot-pound (ft-lb or in-lb)Work - energy (W or E)Joule (J)foot-pound (ft-lb or in-lb)Power (P)Watt (W)horsepower (hp or W)Voltage, EMF (V)Volt (V)Resistance (R)ohms ()Inertia (J)kilogram-meter (kg-m)inch-pound-second (in-lb-s)plane angle (, , , etc.)radian (rad)degree or radian (deg or rad)rotation ()revolution (rev)velocity - linear (v)meter per sec. (m / s)inch per second (in / s)acceleration (a)meter per sec.2 (m / s2)inch per second (in / s2)velocity - angular ()rad per second (rad / s)velocity - rotational ()rev per minute (rpm)accel - angular ()rad per second2 (rad / s2)Basic Definitions & Formulae Parameter FormulaSI Units FormulaEnglish / American Units FormulaForce - accel (F = m * a)1 N = 1 kg * 1 m / s21 lbf = 1 lbf / (386 in / s2) * 386 in / s2Torque - accel (T = J * )1 Nm = 1 kg-m2 * 1 rad / s21 in-lb = 1 in-bl-s2 * 1 rad / s2Voltage, EMF (V = I * R)1 V = 1 A * 1 Work - Energy (E = F * L)1 J = 1 N * 1 m1 in-lb = .113 Nm = .113 Ws = .113 JEnergy - elect (E = V * I * t)1 J = 1 V * 1 A * 1 sPower (P = F * v)1 W = 1 N * 1 m / s1 hp = 550 ft-lb / s = 745.7 WPower (P = T * )1 W = 1 Nm * 1 rad / s(note: radians nave no units)Power (P = V * I)1 W = 1 V * 1 APower (P = E / t)1 W = 1 J / 1 sPower (P = I2 * R)1 W = 1 A2 * 1 Motor Constants Parameter FormulaSI Units FormulaEnglish / American Units FormulaTorque const (Kt = T / I)Kt = Nm / AKt = in-lb / AVoltage const (Ke = V / )Ke = V / (rad / s)Ke = V / krpmServo Motor Formulae Parameter FormulaSI Units FormulaEnglish / American Units FormulaCurrent Draw (I + T / Kt)1 A = 1 Nm / (Nm / A)1 A = 1 in-lb / (in-lb / A)Voltage Required (V = IRa + Ke * )1 V = A + V / (rad / s) * (rad / s)1 V = A + V / (krpm) * (krpm) Conversions: To convert from units of A to units of B, find the value at the intersection of A and B, then multiply your number by this value. Example: to convert from cm to microns, multiply value in cm by 1.00E+04. Length Conversion A Bmicron (m)mmcmminftmicron (m)10.0011.00E-041.00E-063.94E-053.28E-06mm100010.10.0010.039373.28E-03cm1.00E+041010.010.39370.03281m1.00E+061000100139.373.281in2.54E+0425.42.540.025410.0833ft3.05E+05304.830.480.3048121Mass Conversion A Bgkgslugozmlbmg10.0016.85E-050.03532.20E-03kg100016.85E-0235.2742.2046slug1.46E+0414.591514.7832.17ozm28.350.02841.94E-0310.0625lbm453.60.45360.0311161Force Conversion A BNkgfgfozflbfN10.102101.973.5960.225kgf9.811100035.2742.205gf9.81E-030.00110.03532.21E-03ozf0.280.028328.3510.0625lbf4.450.4536453.6161Torque Conversion A Bg-cmkg-cmkg-mN-moz-inlb-inlb-ftg-cm10.0011.00E-059.81E-050.0148.68E-047.23E-05kg-cm100010.010.09813.890.8680.072kg-m1.00E+0510019.81138986.87.23N-m1.02E+0410.20.1021141.68.850.738oz-in72.010.0727.21E-047.06E-0310.0635.21E-03lb-in1.15E+031.1520.0120.1131610.083lb-ft1.38E+0413.830.1381.356192121Power Conversion A BWattskWHorsepowerin-lb/sft-lb/sWatts1100E-031.34E-038.850.74kW100011.348851738Horsepower7460.74616600550in-lb/s0.1131.13E-041.52E-0410.083ft-lb/s1.351.36E-031.82E-031212IJRSkluv # $ , - E F W ^ _ i j    " J L j n p 8 : T r t h<+h<+CJaJ h<+h<+h<+h<+CJaJ h<+h<+CJOJQJ^JaJS2JSlm4kd$$IfF 9!    0H!6    4ab p $$A$Ifa$gd<+$ddA$[$\$gd<+mvYkd $$IfF 9!    0H!6    4ab p $$A$Ifa$gd<+gYY $$A$Ifa$gd<+kd$$IfF 9!    0H!6    4ab p |gY $$A$Ifa$gd<+$dd$A$If[$\$a$gd<+kd$$If0 9!&  0H!64abp  $ - F |m___ $$A$Ifa$gd<+$ddA$[$\$gd<+kd$$If0 9!&  0H!64abp F G _ j QCCC $$A$Ifa$gd<+kdV$$IfF 9!  "  0H!6    4ab p gYYY $$A$Ifa$gd<+kd`$$IfF 9!  "   0H!6    4ab p  gYYY $$A$Ifa$gd<+kd>$$IfF 9!  "   0H!6    4ab p   " L gYYY $$A$Ifa$gd<+kd$$IfF 9!  "   0H!6    4ab p L N p gYY $$A$Ifa$gd<+kd$$IfF 9!  "   0H!6    4ab p  |nn $$A$Ifa$gd<+kd$$If0 9!   0H!64abp  : |nnn $$A$Ifa$gd<+kd $$If0 9!   0H!64abp : < t gYYY $$A$Ifa$gd<+kdh $$IfF 9!  "   0H!6    4ab p t   0 4 6 b d   " J P R  *.>@BDF&<>fhj h<+h<+CJOJQJ^JaJh<+h<+CJaJ#h<+h<+CJH*OJQJ^JaJh<+h<+CJaJ h<+h<+ h<+h<+CJOJQJ^JaJE  gYY $$A$Ifa$gd<+kdF $$IfF 9!  "   0H!6    4ab p  6 d |nnn $$A$Ifa$gd<+kd$ $$If0 9!   0H!64abp  " gYYY $$A$Ifa$gd<+kd $$IfF 9!  "   0H!6    4ab p " $ R gYY $$A$Ifa$gd<+kd $$IfF 9!  "   0H!6    4ab p  |nn $$A$Ifa$gd<+kd$$If0 9!   0H!64abp  D|nn $$A$Ifa$gd<+kdp$$If0 9!   0H!64abp DF|m___ $$A$Ifa$gd<+$ddA$[$\$gd<+kd8$$If0 9!   0H!64abp  >jvhhh $$A$Ifa$gd<+kd$$IfF! aT$0  0c$6    4ab 2vgYYY $$A$Ifa$gd<+kd$$IfF! aT$0    0c$6    4ab p .02XZrtv hj$&Nbdt8:J^`~ h<+h<+CJOJQJ^JaJh<+h<+CJaJ#h<+h<+CJH*OJQJ^JaJh<+h<+CJaJ h<+h<+ h<+h<+CJOJQJ^JaJEvxgYY $$A$Ifa$gd<+kd$$IfF! aT$0    0c$6    4ab p  j|nnn $$A$Ifa$gd<+kd{$$If0! T$0   0c$64abp jlgYY $$A$Ifa$gd<+kdC$$IfF! aT$0    0c$6    4ab p &d|nnn $$A$Ifa$gd<+kd!$$If0! T$0   0c$64abp dfgYYY $$A$Ifa$gd<+kd$$IfF! aT$0    0c$6    4ab p :gYY $$A$Ifa$gd<+kd$$IfF! aT$0    0c$6    4ab p :<`|nn $$A$Ifa$gd<+kd$$If0! T$0   0c$64abp |nn $$A$Ifa$gd<+kdm$$If0! T$0   0c$64abp 2t|m___ $$A$Ifa$gd<+$ddA$[$\$gd<+kd5$$If0! T$0   0c$64abp 02rtv  "<>@DXZ\ >@BDnp:<xz|~h<+ h<+h<+CJOJQJ^JaJ#h<+h<+CJH*OJQJ^JaJ h<+h<+CJOJQJ^JaJh<+h<+CJaJ h<+h<+h<+h<+CJaJBtvvhhh $$A$Ifa$gd<+kd$$IfF! BT$0  0c$6    4ab >ZgYYY $$A$Ifa$gd<+kd$$IfF! BT$0    0c$6    4ab p Z\gXJJJ $$A$Ifa$gd<+$ddA$[$\$gd<+kd$$IfF! BT$0    0c$6    4ab p Dpvhhh $$A$Ifa$gd<+kdx$$IfF! QT$0  0c$6    4ab <zgYYY $$A$Ifa$gd<+kd1$$IfF! QT$0    0c$6    4ab p z|gXXXXJJJ $$A$Ifa$gd<+$ddA$[$\$gd<+kd $$IfF! QT$0    0c$6    4ab p #&O  ޴޴ޠޑwpwpwpwpwpwpwpppppppp h<+h<+h<+h<+B*CJaJphh<+h<+CJaJh<+h<+B* CJaJphq&h<+h<+6CJOJQJ]^JaJ)h<+h<+B*CJOJQJ^JaJph)h<+h<+B* CJOJQJ^JaJphq h<+h<+CJOJQJ^JaJ h<+h<+CJOJQJ^JaJ,  $$A$Ifgd<+Ff $$A$Ifa$gd<+  kd"$$If֞e wU3t8  064abp    '(01245=>@ABCGHNOVWXYZbcghklmnstyz{}~ h<+h<+CJOJQJ^JaJ h<+h<+h<+h<+B* CJaJphqh<+h<+CJaJM  (1 $$A$Ifa$gd<+ $$A$Ifgd<+12kd#$$If֞e wU3t8  064abp 25>ACHOW $$A$Ifa$gd<+ $$A$Ifgd<+WXkd%$$If֞e wU3t8  064abp XZchlntz $$A$Ifa$gd<+ $$A$Ifgd<+z{kd(&$$If֞e wU3t8  064abp {~ $$A$Ifa$gd<+ $$A$Ifgd<+kdB'$$If֞e wU3t8  064abp  $$A$Ifa$gd<+ $$A$Ifgd<+kd\($$If֞e wU3t8  064abp  #%Ff. $$A$Ifa$gd<+ $$A$Ifgd<+Ff*$d$A$Ifa$gd<+$ddd$A$If[$\$a$gd<+$ddA$[$\$gd<+  "#$%-.45;<=ABJKPQRSîîÑÑÑÑÑÑÑÑÑÑÑÑÑÑÑÑh<+h<+B* CJaJphqh<+h<+CJaJ#h<+h<+CJH*OJQJ^JaJ)h<+h<+B*CJOJQJ^JaJph h<+h<+h<+h<+B*CJaJph h<+h<+CJOJQJ^JaJ)h<+h<+B* CJOJQJ^JaJphq3%.5<=BKQSZ`aekr{}Ffb9Ff5 $$A$Ifgd<+Ff,2 $$A$Ifa$gd<+SYZ_`acdejkqrz{|}ٶh<+h<+B*CJaJph)h<+h<+B*CJOJQJ^JaJph h<+h<+CJOJQJ^JaJ#h<+h<+CJH*OJQJ^JaJ)h<+h<+B* CJOJQJ^JaJphq h<+h<+h<+h<+CJaJ5 $$A$Ifgd<+Ff@ $$A$Ifa$gd<+$dd$A$If[$\$a$gd<+$ddA$[$\$gd<+Ff<  !"#)*234678<=CDIJKLRSTVWX\]cdijlmnopɷɷɷɷ#h<+h<+CJH*OJQJ^JaJ)h<+h<+B* CJOJQJ^JaJphqh<+h<+CJaJ h<+h<+h<+h<+B* CJaJphqE( $$A$Ifgd<+kdB$$IfֈV hFAe8  0P64abp  $$A$Ifa$gd<+( $$A$Ifgd<+kdC$$IfֈV hFAe8  0P64abp !#*3 $$A$Ifa$gd<+348( $$A$Ifgd<+kdD$$IfֈV hFAe8  0P64abp 8=DJLS $$A$Ifa$gd<+STX( $$A$Ifgd<+kdE$$IfֈV hFAe8  0P64abp X]djmo $$A$Ifa$gd<+op($ddA$[$\$gd<+kdF$$IfֈV hFAe8  0P64abp p  &'*+,-1267;ĹĹĹĹĹĹĹĹĹĹĹĹĹĹĹĹĹĹĹĹĹĹĹh<+h<+B* CJaJphqh<+h<+CJaJ h<+h<+h<+h<+B*CJaJph)h<+h<+B* CJOJQJ^JaJphq h<+h<+CJOJQJ^JaJC FfM $$A$Ifgd<+FfI $$A$Ifa$gd<+'+-27<ABFOTZ\bgmntzFfVFfS $$A$Ifgd<+FfP $$A$Ifa$gd<+;<@ABEFNOSTYZ[\abfglmnstyz  h<+h<+CJOJQJ^JaJh<+h<+B* CJaJphqh<+h<+CJaJ h<+h<+IFfX`Ff5] $$A$Ifgd<+FfZ $$A$Ifa$gd<+  #.6>?EGOX]b $$A$Ifgd<+Ffc $$A$Ifa$gd<+$dd$A$If[$\$a$gd<+$ddA$[$\$gd<+  "#-.56=>?DEFGNOWX\]abcefjklmqrvwz{|øøøøøøøøøøøøøøøøøøøøøøøøh<+h<+B* CJaJphqh<+h<+CJaJ h<+h<+h<+h<+B*CJaJph h<+h<+CJOJQJ^JaJ)h<+h<+B* CJOJQJ^JaJphqBbcf( $$A$Ifgd<+kde$$IfֈV zXPe8  0_64abp fkmrw{ $$A$Ifa$gd<+{|( $$A$Ifgd<+kdg$$IfֈV zXPe8  0_64abp  $$A$Ifa$gd<+( $$A$Ifgd<+kd*h$$IfֈV zXPe8  0_64abp  $$A$Ifa$gd<+( $$A$Ifgd<+kdBi$$IfֈV zXPe8  0_64abp &'(,-1256:;?@FGMNOSTUVYZ_`fgopuv|}~̷̨ߨߨߨߨߨߨߨh<+h<+B*CJaJph)h<+h<+B* CJOJQJ^JaJphq h<+h<+CJOJQJ^JaJU h<+h<+h<+h<+B* CJaJphqh<+h<+CJaJB $$A$Ifa$gd<+($ddA$[$\$gd<+kdZj$$IfֈV zXPe8  0_64abp Linear Velocity Conversion A Bmm/scm/sm/sin/sft/sin/minft/minmm/s10.10.0010.03943.28E-032.3620.1968cm/s1010.010.3940.032823.621.97m/s1000100139.373.2812362.2196.9in/s25.42.540.025410.083605ft/s304.830.480.304812172060in/min0.4230.04234.23E-040.01671.39E-0310.0833ft/min5.080.5085.08E-030.20.0167121Angular Velocity Conversion A Bdeg/srad/srpmrpsdeg/s10.01750.1672.78E-03rad/s57.319.550.159rpm60.10510.0167rps3606.28601Rotary Inertia Conversion A Bg-cm2kg-cm2g-cm-s2kg-cm-s2kg-m2lb-in-s2g-cm210.0010.0011.02E-061.00E-078.85E-07kg-cm2100011.020.0010.00018.85E-04g-cm-s29810.98110.0019.81E-058.68E-04kg-cm-s29.81E+05981100010.09810.868kg-m21.00E+07100001019010.1918.85lb-in-s21.13E+0611301.15E+031.1520.1131lb-ft-s21.36E+071.36E+041.38E+0413.831.3612lb-in229262.932.980.0032.93E-042.60E-03lb-ft24.21E+05421.4429.70.430.04210.373oz-in2182.90.1830.1871.87E-041.83E-051.62E-04oz-in-s27.06E+0470.62720.0720.0070.063Rotary Inertia Conversion continued... 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