Physics : List of Formulae Circular Motion
θ=tan-1(v02/Rg) => angle of banking Vertical Circular Motion Tension Highest Point
Velocity
Total Energy
√(gr)
5/2 mgr
Mid Point mv2 / r
√(3gr)
5/2 mgr
Lowest Point
√(5gr)
5/2 mgr
mv2/r - mg
mv2/r + mg
1/T = n or ώ=2π/T v=rώ f v= r*(2π/T) v= r*2πn
a=vώ a=v2/r
In U.C.M., (Centripetal accl = Linear accl) i.e. a=root(aT2+ar2)
radians
n/f
Hertz (c.p.s/r.p.s)
ώ
radians/sec ond
FCP
Newton
α
radians/sec ond2
FCF
Newton
θ
Kinematical Equations for Circular Motion 1. ω = ωo + αt 2. θ = ωot + (1/2)αt2 3. ω2 = ωo2 + αθ Gravitation
root
am = vm2/Rm
am/g = 1/Rm2/1/R2 = (R/Rm)2
T = 2π√(r/gh) where r = R+h Vc (at h) Vc=√(GM/(R+h)Vc=√gh(R+h)) Vc (on earch surface)
Vc=√(GM/(R) Vc=√gR
Rotational Motion
Ve=√2gR
Oscillations
Elasticity
Surface Tension
For bubble , always double the Area while using any Formulae above .
Wave Motion
Stationary Waves
In Melde's experiment , TP2 = constant . For Resonance Tube , e = (l2 - 3 l1 )/2 Kinetic Theory of Gases and Radiation Updating.... According to Stefan's Law ; Rate of heat is directly proportional to 4th root of absolute temperature . R α AσT⁴ Wave Theory of Light
Interference & Diffraction Electrostatics Current Electricity
Updating ... Updating ...
Magnetic Effect of Electric Current Magnetism
Updating ...
Electromagnetic Induction & Alternating Current
Electrons & Photons
Atoms , Molecules & Nuclei
Semiconductors To be updated : Ic/Ie ; Ic/Ib
Communication Systems
μ is coefficient of friction between tyres of car and road surface Definition angular displacement angular velocity angular accelaration UCM Periodic time Frequency Centripetal force Centrifugal Force Banking of road Angle of banking Conical Pendulum
θφχϒ+I12λραεπώ
Definitions Newtons law of gravitation
root Kepler's law of motion - Keplers First law (Law of Orbit) - Keplers Second Law (Law of equal area) - Keplers tjhird law (Law of Period) Binding energy Critical Velocity Escape velocity Periodic time of satellite
Unit & dimension G (SI) = N m2/kg2 G(C.G.S.)= dyne cm2/g2
Definition Moment of Inertia
θφχϒ+I12λραεπώ
displacement accelaration
ns law of gravitation
c time of satellite
.)= dyne cm2/g2
Chapter Circular_Motion
symbol
Item
Kinetic Energy Gravitational Circular_Motion Circular_Motion
Gravitational constan θ ώ
Circular_Motion
α
Circular_Motion Circular_Motion Circular_Motion Rotational_motion Moment of Intertia Force Rotational_motion Radius of Gyration Rotational_motion Torque Rotational_motion Angular Momentum Oscillation Period of S.H.M.
E G
elasticity elasticity elasticity elasticity surface_elasticity surface_elasticity
Surface Tension
surface_elasticity emissive power surface_elasticity Electromagnetism Magnetic Flux Electromagnetism Magnetic Indiction
DimensionScalar or Vector
scalar G (SI) = N m /kg radians radians/second 2
2
radians/second2 n/f
Hertz (c.p.s/r.p.s)
FCP FCF I F K τ L T f
Newton Newton Kg m2 Newton m Nm kg m2/s s Hertz or c.p.s or r.p.s
Frequency of S.H.M. Stress Modulus of Elasticity Strain Bulk modulus, Modulu Compressibility Surface energy
S.I.
L2 M1 T0 L1 M0 T0 L2 M1 T-1 L2vector M1 T-1(direction is same as ώ) M0 L0 T-1
N/m2 or Pa
L-1 M1 T-2
N / m2 m2 / N Joule N/m J/m2
L-1 M1 T-2 L1 M-1 T2 L2 M1 T-2 L0 M1 T-2
E
J/m2 W/m2
M1 L0 T-3
φ B
weber (Wb) Wb/m2 - Tesla (T)
M
K
T
Electromagnetic_indco-effiecent of self induction / self inductance
L
Mutual Inductance
M
=Volt/ L2 M1 T-2 I-2 scalar (Ampere/secon d) = volt second/ampere = ohm second = H (henry) generally expressed in H
Electromagnetic_indImedance Electromagnetic_induction Electromagnetic_induction wave_ magnent
Z
dphi/dt
ohm
C.G.S
Remarks
G(C.G.S.)= dyne cm2/g2
dyne cms Same as work
irection is same as ώ)
dyne/cms2
Erg dyne/cm
Modulus of elasticity is same as Stress (bec strain does not have units) Ratio hence no unit