# formulas2 - r and F . The direction of τ is then given by...

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Fomula Sheet for Physics 221 Test 2 Notes: A bolded variable such as p indicates that the variable should be treated as a vector A * in front of an equation indicates that the equation will be given to you on Test 2 (The same equations as those on Practice Test 2) Linear Momentum p = m v Δ p Δ t = F I = Δ p = F Δ t ( I is the Impulse) KE = 1 2 mv 2 = p 2 2 m Center of Mass x CM = Σ m i x i M y CM = Σ m i y i M z CM = Σ m i z i M M = Σ m i 1

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Rotations ω = Δ θ Δ t n where the direction indicator n is given by the right hand rule α = Δ ω Δ t Rotational Kinematics and Dynamics For motion with constant angular acceleration α ω f = ω i + α ( t f - t i ) θ f = θ i + ω i ( t f - t i ) + 1 2 α ( t f - t i ) 2 ω avg = ω i + ω f 2 ω f 2 = ω i 2 + 2 α ( θ f - θ i ) 2
Rotational Inertia, Torque, and Angular Momentum I = Σ m i r i 2 (where I is the rotational inertia and r is deﬁned as the distance from the axis of rotation to the object) τ = I α τ = r × F (where × is the Cross Product. The magnitude of this cross product is rFsinθ where θ is the smallest angle between

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Unformatted text preview: r and F . The direction of τ is then given by the right hand rule by pointing the ﬁngers of your right hand in the direction of r and sweeping them into F ) For rotational motion KE = 1 2 mv CM 2 + 1 2 Iω 2 Rolling Condition v CM = rω L = I ω Δ L Δ t = τ 3 Fluid Deﬁnitions ρ = M V P = F A P bottom-P top = ρgh Bouyant Force B is equal to the weight of the displaced liquid B = w = ρV g Ideal Fluid Dynamics * A 1 v 1 = A 2 v 2 * P 1 + ρgh 1 + 1 2 ρv 1 2 = P 2 + ρgh 2 + 1 2 ρv 2 2 Viscous Fluid Dynamics * Q = π Δ Pr 4 8 ηL * R = ρdv η * F = 6 πηr sphere v P in-P out = 2 γ r for a spherical membrane h = 2 γcosθ ρgr maximum height to which a liquid will rise through capillary action 4...
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## This note was uploaded on 11/10/2011 for the course PHYS 232 taught by Professor Hand during the Spring '08 term at University of Tennessee.

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formulas2 - r and F . The direction of τ is then given by...

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