From the book Machines and Mechanisms, David H. Myszka, The derivative of the displacement-time curve can be numerically approximated from the following equation: Vj ARI+1-AR-1 2 At -]-[A [AR +22AR +1 +2 AR-1-AR-2 AR+2] 12 At where: = i data point index AR; displacement at data point i At = 1-1-13-12=14-13 time at data point i t 5 1 2 3 4 5 6 7 8 9 F7 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 AutoSave Off File 5. S Undo INDEX Home 1 2 3 4 5 6 7 8 9 10 11 Paste B C Crank e Ram e 0 90.11 5 91.39 10 92.63 93.8 94.9 25 95.92 30 96.85 35 97.68 40 98.42 45 99.06 50 99.6 55 12 100.06 13 60 100.44 14 65 100.74 15 70 100.97 16 75 101.14 17 80 101.26 85 18 101.33 19 90 101.36 20 95 101.34 21 100 101.27 22 105 101.16 23 110 100.99 24 115 100.77 25 120 100.47 105 20 Insert Draw X Cut 15 20 Copy Format Painter Clipboard MET311 U2 Project 1 100.00 Page Layout Calibri B I U Alignment X fx =RADIANS (B8-B6)/(2*0.00048)-RADIANS((B9-(2* B8)+(2*B6)-B5)/(12*0.00048)) E Formulas Data Review View Add-ins Help 19.31 20.59 21.83 23 24.1 25.12 26.05 26.88 27.62 28.26 28.8 29.26 29.64 29.94 30.17 30.34 30.46 30.53 30.56 30.54 30.47 30.36 V 30.19 29.97 29.67 Font 11 A^ A D F Crank time Displacement 83-83min Ram e Velocity 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 V = = = B E G H -433159.7222 -6454 63368.05556 73784.72222 181.8051304 181.8051304 181.8051304 181.8051304 181.8051304 181.8051304 181.8051304 181.8051304 181.8051304 181.8051304 181.8051304 181.8051304 181.8051304 181.8051304 181.8051304 181.8051304 181.8051304 181.8051304 181.8051304 181.8051304 181.8051304 181.8051304 181.8051304 Wrap Text Merge & Center I J