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Title: Physics - Simple Harmonic Motion, Waves and Sound, and Linear Superposition and Interference
Description: These notes are from an algebra based Physics I course geared towards Biology majors. This powerpoint is a boiled down version of the material as it contains all the equations we were required to know how to use for the test.
Description: These notes are from an algebra based Physics I course geared towards Biology majors. This powerpoint is a boiled down version of the material as it contains all the equations we were required to know how to use for the test.
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5/28/2015
PHYSICS TEST 4
UNIFORM CIRCULAR MOTION
2π r
v=
T
T = min/revolutions = 1/(rev/min)
Direction of velocity is tangent to the circle
1
5/28/2015
ACCELERATION
v2
ac =
r
CENTRIPITAL FORCE
v2
Fc = mac = m
r
2
5/28/2015
BANKED CURVE
v2
tan θ =
rg
SATELITES IN CIRCULAR ORBITS
2π r 3 2
T=
GM E
mM E
v2
Fc = G 2 = m
r
r
GM E
v=
r
v=
GM E 2π r
=
r
T
3
5/28/2015
GRAVITATIONAL CENTRIPITAL FORCE
Fcgrav =
T2
R3
ARTIFICIAL GRAVITY
v2
Fc = m = mg
r
4
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VERTICAL CIRCULAR MOTION
ANGULAR DISPLACEMENT
Radians (rad)
θ (in radians) =
∆θ = θ − θ o
Arc length s
=
Radius
r
5
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AVERAGE ANGULAR VELOCITY
θ − θo
∆θ
ω=
=
t − to
∆t
Radiens/second
AVERAGE ANGULAR ACCELERATION
α =
ω − ωo
t − to
∆ω
=
∆t
6
5/28/2015
ROTATIONAL KINEMATICS EQUATIONS
velocity
time
displacement
acceleration
TANGENTIAL SPEED
vT = rω (ω in rad/s)
7
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TANGENTIAL ACCELERATION
aT = rα
(α in rad/s 2 )
CENTRIPITAL ACCELERATION
2
vT (rω )
ac =
=
= rω 2
r
r
2
(ω in rad/s)
8
5/28/2015
TORQUE
• The type of force that causes angular acceleration
τ = Fl
N*m
EQUILIBRIUM OF AN EQUAL BODY
9
5/28/2015
NEWTON’S 2ND LAW FOR ROTATIONAL MOTION
ABOUT A FIXED AXIS
τ = (mr )α
2
I = mr
2
Moment of Inertia
ROTATIONAL WORK
W = τθ
Work = force * displacement
10
5/28/2015
ROTATIONAL KINETIC ENERGY
KE R = Iω
1
2
2
CONSERVATION OF ENERGY
1
2
mv 2 + 1 Iω 2 + mgh f = 1 mvi2 + 1 Iωi2 + mghi
f
f
2
2
2
11
5/28/2015
ANGULAR MOMENTUM
L = Iω
kg·m2/s
CONSERVATION OF ANGULAR MOMENTUM
vA
2 vP
= mrP
mr
rA
rP
2
A
12
Title: Physics - Simple Harmonic Motion, Waves and Sound, and Linear Superposition and Interference
Description: These notes are from an algebra based Physics I course geared towards Biology majors. This powerpoint is a boiled down version of the material as it contains all the equations we were required to know how to use for the test.
Description: These notes are from an algebra based Physics I course geared towards Biology majors. This powerpoint is a boiled down version of the material as it contains all the equations we were required to know how to use for the test.