t2_equations_no_words

T2_equations_no_word - Test 2 Equation Sheet Revised 12.1 12.1 12.2 s(t t Δ s(t s Δ = 1 2 21 s s s Δ = dt ds v = t Δ s Δ v avg = dt ds v v sp

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Unformatted text preview: Test 2 Equation Sheet Revised 6/26/2007 12.1 12.1 12.2 s(t)- t) Δ s(t s Δ + = 1 2 21 s s s Δ- = dt ds v = t Δ s Δ v avg = dt ds v v sp = = t s v T avg ∆ = t Δ v Δ a avg = 2 2 dt s d a = dt dv a = vdv ads = t a v v c o + = 2 c o o t a 2 1 t v s s + + = ) s s ( a 2 v v o c 2 o 2- + = 12.3 12.4 ) t ( r ) t t ( r r - ∆ + = ∆ t Δ r Δ v avg = dt r d v = v v sp = dt r d v = t s v T avg ∆ = dt ds v = t Δ v Δ a avg = 2 2 dt r d a = dt v d a = v d v r d a ⋅ = ⋅ 12.5 ( 29 ( 29 ( 29 k t z j t y i t x r + + = ( 29 ( 29 ( 29 k t z j t y i t x dt r d v + + = = z v y v x v z y x = = = 2 z 2 y 2 x v v v v + + = ( 29 ( 29 ( 29 k t z j t y i t x dt v d dt r d a 2 2 + + = = = z v a y v a x v a z z y y x x = = = = = = 2 z 2 y 2 x a a a a + + = ( 29 ( 29 ( 29 dt dy y , x f dy d dt dx y , x f dx d y , x f dt d + = ( 29 ( 29 ( 29 y y , x f dy d x y , x f dx d y , x f dt d + = 12.6 t x x x + = ( 29 θ cos v x = x = ( 29 2 t g 2 1 t y y y- + + = gt y y- = ( 29 θ sin v y = g y- = ( 29 2 2 y y g 2 y y-- = 2 2 y x v + = ( 29 y dt d y max = = 12.7 t u v v = dt ds v = = ψ- dx dy tan 1 n n t t u a u a a + = vdv ds a or v a t t = = Test 2 Equations Page 1 ρ v a 2 n = 2 n 2 t a a a + = ( 29 [ ] 2 2 2 / 3 2 dx / y d dx / dy 1 ρ + = = φ- x y tan 1 ) cos( a a t φ ± ψ ± = ) sin( a a n φ ± ψ ± = 12.8 j ) sin( i ) cos( u r θ + θ = j ) cos( i ) sin( u θ + θ- = θ k u z = z r u z u r r + = θ r u θ u = z θ r u z u θ r u r v + + = r v r = θ r v θ = 2 2 2 2 z 2 θ 2 r z ) θ r ( r v v v v + + = + + = θ θ r r u a u a a + = 2 r θ r r a - = θ r 2 θ r a θ + = ( 29 ( 29 2 2 2 θ r 2 θ r θ r r a + +- = z r P u z u r r...
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This note was uploaded on 05/04/2008 for the course MIME 2300 taught by Professor Gan during the Spring '08 term at Toledo.

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T2_equations_no_word - Test 2 Equation Sheet Revised 12.1 12.1 12.2 s(t t Δ s(t s Δ = 1 2 21 s s s Δ = dt ds v = t Δ s Δ v avg = dt ds v v sp

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