Rotational Kinematics/Dynamics and Fluids Flashcards

1
Q

Formula for Angular velocity

A

ω = (θf - θi) / t

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2
Q

Formula for Angular acceleration

A

α = ω/t

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3
Q

How is angular velocity affected by the position of the object

A

The angular velocity remains the same independently of the objects position

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4
Q

How is translational velocity affected by the position of the object

A

The farther you are from the center the more translational velocity you have

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5
Q

I rev is equal to

A

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6
Q

Center of mass formula

A

Xcm = (m1x1 + m2x2 +…./m1+m2+…)

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7
Q

Formula for torque

A

τ = F*l (perpendicular force x lever arm) or τ = Iα (inertia x angular acceleration)

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8
Q

When approaching torque problems, which force do you use

A

Only use the perpendicular force

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9
Q

Formula for Inertia

A

I = (mr^2)

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10
Q

Mass distributed towards the outside

A

Has more intertia

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11
Q

Mass distributed towards the inside

A

Has less inertia, will reach bottom first (solid)

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12
Q

Formula for Angular Momentum

A

L =Iω

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13
Q

Formula for Rotational KE

A

KE = 1/2(Iω^2)

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14
Q

What are the values of force and torque during static equillbirum

A

F=0

τ = 0

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15
Q

How does the gravity of an object relate to the specific gravity of H2O

A

If an object has 2x the gravity of H2O, then its specific gravity is 2.

If its gravity is 1/2 of H2O then the SG is 1/2 etc.

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16
Q

Formula for pressure

17
Q

Units for pressure

A

1atm = 760 torr = 760mmHg = 100,000Pa

18
Q

Formula for Hydrostatic Pressure

A

p = ρ(fluid) x g x h(depth)

19
Q

Every 10m depth in H2O equals

A

1 atm pressure

20
Q

Air can be looked at as a fluid in that

A

The deeper you go the more the pressure increases

21
Q

When the liquid levels are equal

A

The pressure inside will equal the pressure in the external environment

22
Q

Formula for Buoyancy Force

A
Fb = ρgV 
Fb = buoyant force of a liquid acting on an object 
ρ = density of the liquid
g = gravitational acceleration
V = volume of liquid displaced
23
Q

If the object is floating the buoyancy force will equal

A

The objects weight

24
Q

Formula for % submerged

A

(Density of object / density of fluid) x 100

25
The difference in height between the fluid is equal to the
Difference between the pressures
26
Formula for Specific Gravity
SG = (density of substance)/(density of H2O)
27
Density of water
1000 kg/m^3
28
In an enclosed structure, fluid force is the same everywhere. This gives rise to the formula
A1d1 = A2d2
29
Formula for a Hydraulic Jack
(F1/A1) / (F2/A2)
30
Laminar Flow
Straight line flow of lines that don’t interact. Once the speed picks up you reach a point of change into turbulent flow where uniformity breaks down.
31
Turbulent flow
Usually we aim to avoid this kind of flow since it lacks uniformity.
32
Flow rate formula
A1v1 = A2v2
33
Within a system the flow rate is always
Constant
34
Bernoulli’s equation
P1+1/2ρv1^2+ρgh1=P2+1/2ρv2^2+ρgh2