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10th Class Physics Formulas

All 10th Class Physics formulas, chapter by chapter, with search and a printable layout.

10th Class Physics formulas

Chapters: Mechanics · Circular Motion · Kinematics · Forces · Pressure · Heat & Temperature · Simple Machines · Sound · Errors & Measurements · Acoustics

Mechanics (14)

FormulaExpression
Newton's 2nd LawF = ma
Equations of Motionv = u + at
Displacements = ut + ½at²
v² Formulav² = u² + 2as
Momentump = mv
ImpulseJ = FΔt = Δp
Frictionf = μN
WeightW = mg
Densityρ = m/V
PressureP = F/A
Speedv = d/t
Accelerationa = Δv/Δt
Free Fall Velocityv = √(2gh)
Terminal Velocity (concept)reached when net force on a falling object = 0

Circular Motion (2)

FormulaExpression
Centripetal ForceF = mv²/r
Angular Velocityω = v/r = 2π/T

Kinematics (12)

FormulaExpression
Average Speedspeed = distance/time
Average Velocityv_avg = Δx/Δt
Accelerationa = (v-u)/t
Distance from v-t Graphdistance = area under velocity-time graph
First Equation of Motionv = u + at
Second Equation of Motions = ut + ½at²
Third Equation of Motionv² = u² + 2as
Relative Velocityv_AB = v_A − v_B
Instantaneous Velocityv = lim(Δt→0) Δs/Δt
Relative Velocity (1D)vAB = vA - vB
Uniform Acceleration from v-t Grapha = slope of v-t graph
Deceleration in Brakinga = (v² - u²)/2s

Forces (13)

FormulaExpression
Newton's 1st LawObject at rest stays at rest unless acted on by force
Newton's 3rd LawF₁₂ = −F₂₁
WeightW = mg
Newton's Second Law (Variable Mass)F = d(mv)/dt
Newton's Law of Gravitation (basic)F = Gm1m2/r²
Coefficient of Frictionμ = F(friction)/N
Center of Mass (two bodies)Xcm = (m1x1+m2x2)/(m1+m2)
Torque (basic)τ = F × r × sinθ
Conservation of Momentumm1u1 + m2u2 = m1v1 + m2v2
Elastic Collision (1D velocity)v1 = ((m1−m2)u1 + 2m2u2)/(m1+m2)
Coefficient of Restitutione = (v2−v1)/(u1−u2)
Tension in a String (Equilibrium)T = mg (for hanging mass at rest)
Weight vs Mass RelationW = mg

Pressure (6)

FormulaExpression
PressureP = F/A
Pressure in FluidP = ρgh
Pascal's PrincipleF1/A1 = F2/A2
Gauge PressurePgauge = Pabsolute - Patm
Pressure in a Fluid ColumnP = hρg
Atmospheric Pressure (Barometer)P = hρg (mercury column)

Heat & Temperature (10)

FormulaExpression
Heat TransferQ = mcΔT
Linear ExpansionΔL = αLΔT
Latent HeatQ = mL
Specific Heat CapacityQ = mcΔT
Heat Gained/Lost (Calorimetry)Heat lost by hot body = Heat gained by cold body
Volumetric (Cubical) ExpansionΔV = V0γΔT
Areal ExpansionΔA = A0βΔT
Celsius to FahrenheitF = (9/5)C + 32
Celsius to KelvinK = C + 273
Linear Thermal ExpansionΔL = LαΔT

Simple Machines (3)

FormulaExpression
Mechanical AdvantageMA = Load/Effort
Efficiencyη = (Output/Input) × 100
Velocity Ratio of a LeverVR = Effort Arm/Load Arm

Sound (3)

FormulaExpression
Speed of Soundv = fλ
IntensityI = P/A
Echo Distanced = vt/2

Errors & Measurements (3)

FormulaExpression
Percentage Error%E = (Δa/a) × 100
Absolute ErrorΔa = |a_measured − a_true|
Fractional ErrorΔx/x

Acoustics (4)

FormulaExpression
Speed of Sound in Airv = 331 + 0.6T (T in °C)
Sound Intensity Levelβ = 10 log₁₀(I/I₀) dB
Doppler Effect (Source Moving Toward)f' = f(v/(v - vs))
Doppler Effect (Source Moving Away)f' = f(v/(v + vs))

More class-wise formulas

Formulas are for revision. Always follow the notation and rounding used in your own textbook and board papers.

FAQ

How many 10th Class Physics formulas are on this page?

70 formulas in 10 chapters.

Can I print the 10th Class Physics formulas?

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Do the formulas follow my board syllabus?

They follow the usual school and intermediate syllabus, but chapter lists differ between boards. Check your own syllabus for what is included in your exam.

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