Study Formula/Equations/Defenitions

Question 1

Symbol for x in rotational

Answer 1

ϴ

Question 2

Symbol for f in rotational

Answer 2

τ

Question 3

Formula for relationship between the arc length (distance covered) and the angle of the arc (our angular position).

Answer 3

S=rϴ

Question 4

units for rotation

Answer 4

“radians” or “rad” . Also unitless quantity

Question 5

Angular Velocity

Answer 5

ω (vector symbol on top “ ->”)

Question 6

ω (vector symbol on top “ ->”) = ?

Answer 6

w=limΔ t →0 (Δθ / Δt)

Question 7

units for angular position

Answer 7

rad/s

Question 8

relationship to tangential speed

Answer 8

V=Wr , also S=ϴr

Question 9

Angular velocity is a ____?

Answer 9

Vector

Question 10

Angular Acceleration symbol

Answer 10

∝ (vector arrow on top “->”)

Question 11

∝ (vector arrow on top “->”) = ________?

Answer 11

limΔ t →∞ (Δw/Δt)

Question 12

units for Angular acceleration

Answer 12

rads/s^2

Question 13

total acceleration equation

Answer 13

a→ = at→+ac→ also a total = sqrt((r∝)^2 + (w^2r)^2)

Question 14

moment of Inertia

Answer 14

I = n∑i=1 miri^2 = m1r1^2+m2*r2^2+…..

Question 15

Symbol for torque

Answer 15

T – torque

Question 16

Definition of T – torque (formula )

Answer 16

r X F (cross product)

Question 17

How to get magnitude for torque

Answer 17

rFsin(θ)

Question 18

Torque is the ___________________?

Answer 18

Rotational analog of force in that it is the cause of angular acceleration and the change in angular momentum.

Question 19

for a string on a pulley, torque is always ______.

Answer 19

Tr

Question 20

Newton 2 for rotation formula

Answer 20

∑ t ext = I * ∝

Question 21

no slip rotation equation

Answer 21

Vcm = W*R

Question 22

Chassell’s Theorem is what

Answer 22

Pure translation of the center of mass. Pure rotation about the center of mass

Question 23

Chassell’s theorem equation

Answer 23

(K Rotation about cm + K translation CM )also (K total = 1/2*Icm *w^2 + 1/2 mVcm^2

Question 24

Energy analysis of rolling without slipping equation

Answer 24

k total = 1/2 M* Vcm^2 + 1/2 Icm*ω^2 (same as chassels theorem)

Question 25

Special case of no slip condition equation ??

Answer 25

Vcm = w*R

Question 26

Newton 2 for Rotation ∑ τ ext = ???

Answer 26

∑ τ ext = I*∝ (I is intertia)

Question 27

E in Rotational(symbol)

Answer 27

E

Question 28

V in rotational(symbol)

Answer 28

ω

Question 29

m in rotational(symbol)

Answer 29

I

Question 30

a in rotational(symbol)

Answer 30

∝

Question 31

p in rotational (symbol)

Answer 31

L

Question 32

t in rotational (symbol)

Answer 32

t

Question 33

Angular momentum symbol ?

Answer 33

L

Question 34

equation for angular momentum of L

Answer 34

L=r x p | r x (m*V) | m(r x V)

Question 35

how to get magnitude for a angular momentum ?(equation)

Answer 35

L = r*psin(θ) or L=r*pcos(θ)

Question 36

rigid body rotating around a fix axis? magnitude equation?

Answer 36

L=I*W

Question 37

how do you get angular momentum with just the graph?

Answer 37

∆L = Area under torque (area under graph portion )

Question 38

Definition for pressure (Symbol)

Answer 38

P

Question 39

Equation for Pressure (P)

Answer 39

P=F/A (F is force A is Area)

Question 40

units for pressure

Answer 40

N/m^2

Question 41

Conversion for 1 Atm in Pa

Answer 41

1.013x10^5

Question 42

Conversion for 1 Atm in in bar

Answer 42

1 bar = 1x10^5 Pa

Question 43

Conversion for 1Atm =760 in torr

Answer 43

torr = 14.71 bs/in^2 (Psi)

Question 44

Symbol and Definition of Density(symbol) and equation

Answer 44

P≡Mass/Volume

Question 45

units for density

Answer 45

kg/m^3 (usually very large numbers)

Question 46

Specific density formula

Answer 46

specific density = P(density)/P(water) .unitless quantity

Question 47

What is the definition of Pascals Principle

Answer 47

A change in pressure applies to an enclosed fluid is transmitted undiminished to every point of the fluid and to the walls of the container

Question 48

what does F (formula of 1 equal too ?)

Answer 48

F2 = F1(A2/A1) (Look at pascals principle notes to further clarify)

Question 49

What is Archimedes's principle ?

Answer 49

Any object completely or partially submerged in a fluid is buoyed up by a force with magnitude equal to the weight of the fluid displaced by the object

Question 50

Using Archimedes principle give Buoyancy force? (Equation)

Answer 50

B = Pf*Vs*G (Pf*Vs is also mf)

Question 51

substituting newtons 2 law equation for archimedes principle of buoyancy (Hint Pf*Vs - Po*Vo)*G = ?

Answer 51

Pf*Vs - Po*Vo)*G = (PoVo)ay

Question 52

Replacing Mo in terms of the objects density we have Mo=?

Answer 52

Mo = Po*Vo

Question 53

what does object have to be less than to be floating ?

Answer 53

<=1 (rises)

Question 54

what does object have to be greater than to be sinking?

Answer 54

>=1 (sink)

Question 55

if object is equal to P it has what ?

Answer 55

no Acceleration