{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

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

This preview shows pages 1–4. Sign up to view the full content.

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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern