Physics 101 Formulas - University of Illinois Urbana-Champaign
ο»ΏPhysics 101 Formulas
Kinematics
=
=
= 0 +
=
0
+
0
+
1 2
2
2 = 02 + 2
= 9.8 m/s2 = 32.2 ft/s2 (near Earth's surface)
Last Name: First Name: Lab Section: Exam Day:
Exam Time
Dynamics
=
= (near Earth's surface)
, =
=
= 2
=
2
Universal Gravitation
Universal Gravitational Constant
=
6.7 ?
10?11
N
m2 kg2
=
12 2
=
-
12
Work & Energy
= cos()
=
1 2
2
= 2
2
= = ?
= +
= = ? = ( + ) ? ( + )
=
Impulse & Momentum Impulse: = =
= = ?
= /
= = , ? ,
= 11 + 22
1 + 2
(momentum conserved if = 0)
Elastic Collisions: Mass moving with ; Stationary mass
,
=
,
- +
,
=
,
2 +
Rotational Kinematics
= 0 + =
=
0
+
0
+
1 2
2
=
=
2 = 02 + 2
(rolling without slipping: = = = )
1 revolution = 2 radians
Rotational Statics & Dynamics
= sin
= 0 and = 0 (static equilibrium)
=
=
= =
(angular momentum conserved if = 0)
=
1 2
2
= 2
2
=
+
=
1 2
2
+
1 2
2
= + 2 Parallel axis theorem
Moments of Inertia (I)
= 2 (for a collection of point particles)
=
1 2
2
(solid
disk
or
cylinder)
=
2 5
2
(solid
ball)
=
2 3
2
(hollow
sphere)
= 2 (hoop or hollow cylinder)
1 =
12
2 (uniform rod about center)
1 =
3
2 (uniform rod about one end)
12/7/2017
1
Physics 101 Formulas
Fluids
=
,
() = (0) + change in pressure with depth
=
(density)
Buoyant force = = weight of displaced fluid
Flow rate = 11 = 2 2 continuity equation
1
+
1 2
12
+
1
=
2
+
1 2
22
+
2
Bernoulli equation
= 1000 kg/m3 1 m3 = 1000 liters 1 atm = 1.01 105 Pa 1 Pa = 1 N/m2 (area of circle A=r2)
Simple Harmonic Motion
Hooke's Law: = ?
=
1 2
2
() = cos() or () = sin()
() = ? sin() () = cos()
() = ? 2cos() or () = ? 2sin()
2
=
= 2
=
2
= 1/
= = = 2 = 2
For a simple pendulum 2
= ,
=
2
L/g
Harmonic Waves
=
=
= = 3 ? 108 m/s for electromagnetic waves (light, microwaves, etc.)
2
=
for wave on a string
=
2
(wavelength,
of
the
harmonic)
Sound Waves
Loudness:
=
10
log10
0
(in dB), where 0
=
10?12 W/m2
2 - 1 = (10 dB) log10 12
=
(-) -
(Doppler
Effect)
=
42
(sound intensity)
12/7/2017
2
Physics 101 Formulas
Temperature and Heat
Temperature: Celsius () to Fahrenheit () conversion: = 59 ( ? 32) Celsius () to Kelvin () conversion: = + 273
= 0 = 0 thermal expansion
= specific heat capacity
= latent heat of fusion (solid to liquid)
= atent heat of vaporization
= / conduction
= 4 radiation ( = 5.67 ? 10-8 J/(s m2 K4))
= (4 ? 04)
(surface area of a sphere = 42 )
Ideal Gas & Kinetic Theory
= 6.022 1023 molecules/mole
Mass of carbon - 12 = 12.000 u
= =
=
8.31
J (molK)
= =
1.38 ?
10-23 J/K
=
3 2
=
1 2
2
=
3 2
(internal
energy
of
a
monatomic
ideal
gas)
2
= 3
= 3
(
= molar mass = kg/mole)
Thermodynamics
= + (1st Law) = 32 (internal energy of a monatomic ideal gas for fixed ) = (3/2) = 12.5 J/(mol K) (specific heat at constant volume for a monatomic ideal gas)
+ + = 0 (heat engine or refrigerator)
=
=
1 ?
(Carnot engine)
= (work done by an expanding gas) = / (entropy)
12/7/2017
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