Formula_Sheet_Exam2.pdf - Formula Sheet for LSU Physics 2110 Exam 2 Fall ’19 Units 1 m = 39.4 in = 3.28 ft 1 liter = 0.264 gallons = 1000 cm3 1 mi =

# Formula_Sheet_Exam2.pdf - Formula Sheet for LSU Physics...

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Formula Sheet for LSU Physics 2110, Exam 2, Fall ’19 Units: 1 m = 39.4 in = 3.28 ft 1 mi = 5280 ft 1 min = 60 s 1 day = 24 h 1 liter = 0.264 gallons = 1000 cm 3 1 acre = 4047 m 2 1 rev = 360 = 2 rad Constants: g = 9.8 m/s 2 = 32.1 ft/s 2 Quadratic formula: for ax 2 + bx + c = 0 , x = - b ± p b 2 - 4 ac 2 a Mass density: = m V Sphere: Volume = 4 3 R 3 Surface area = 4 R 2 Cylinder: Volume = R 2 H Surface area = 2 R ( R + H ) Motion with constant acceleration: Equations along a straight line: v x = v ox + a x t x - x o = v ox t + 1 2 a x t 2 v 2 x = v 2 ox + 2 a x ( x - x o ) x - x o = 1 2 ( v ox + v x ) t Vector properties: 2-D vector: ~ A = A x ˆ ı + A y ˆ | , Components: A x = | ~ A | cos ˆ ı, ~ A , A y = | ~ A | sin ˆ | , ~ A , = tan - 1 A y A x = angle between ˆ ı and ~ A , (ˆ ı · ˆ | = 1 , ˆ ı · ˆ | = 0) 3-D vector: ~ A = A x ˆ ı + A y ˆ | + A z ˆ k Magnitude: | ~ A | = q A 2 x + A 2 y + A 2 z Scalar product: ~ A · ~ B = | ~ A | | ~ B | cos ~ A, ~ B = A x B x + A y B y + A z B z , ~ A, ~ B = angle between ~ A and ~ B Vector product: ~ A ~ B = ˆ ı ˆ | ˆ k A x A y A z B x B y B z = ( A y B z - B y A z ı + ( A z B x - B z A x | + ( A x B y - B x A y ) ˆ k | ~ A ~ B | = | ~ A | | ~ B | | sin ~ A, ~ B |

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