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Formulas

Physics

Showing formulas of Physics

Showing 24 of 258 formulas Page 8 of 11

Angular Momentum of a Particle

Physics → Mechanics → Rotational Motion → Angular Momentum
$$L = mvr \sin \theta$$
A measure of the quantity of rotation of an object, taking into its mass and speed relative to an axis.
📖 Physics 📚 Rotational Motion

Average Power (DC)

Physics → Electromagnetism → Current Electricity → Power
$$P = VI = I^2R = \frac{V^2}{R}$$
The rate at which electrical energy is converted into other forms (like heat).
📖 Physics 📚 Current Electricity

Work Done by Surface Tension (Bubble)

Physics → Fluid Mechanics → Properties Of Matter → Surface Energy
$$W = 8\pi r S \Delta r$$
Work required to increase the radius of a spherical soap bubble.
📖 Physics 📚 Properties Of Matter

Dot Product (Scalar Product)

Physics → Mathematical Tools → Motion in a Plane → Vectors
$$\vec{A} \cdot \vec{B} = AB \cos \theta$$
The product of the magnitudes of two vectors and the cosine of the angle between them.
📖 Physics 📚 Motion in a Plane

Cross Product (Vector Product)

Physics → Mathematical Tools → Motion in a Plane → Vectors
$$|\vec{A} \times \vec{B}| = AB \sin \theta$$
A vector perpendicular to both $\vec{A}$ and $\vec{B}$ with magnitude equal to the area of the parallelogram formed by them.
📖 Physics 📚 Motion in a Plane

Projectile Motion: Time of Flight

Physics → Mechanics → Motion in a Plane → Projectile Motion
$$T = \frac{2u \sin \theta}{g}$$
Total time an object remains in the air when projected at an angle.
📖 Physics 📚 Motion in a Plane

Projectile Motion: Maximum Height

Physics → Mechanics → Motion in a Plane → Projectile Motion
$$H = \frac{u^2 \sin^2 \theta}{2g}$$
The highest vertical point reached by a projectile.
📖 Physics 📚 Motion in a Plane

Projectile Motion: Horizontal Range

Physics → Mechanics → Motion in a Plane → Projectile Motion
$$R = \frac{u^2 \sin 2\theta}{g}$$
The horizontal distance covered by the projectile.
📖 Physics 📚 Motion in a Plane

Banking of Roads (Safe Speed)

Physics → Mechanics → Laws of Motion → Circular Motion
$$v = \sqrt{rg \tan \theta}$$
The speed at which a vehicle can safely turn on a banked road without relying on friction.
📖 Physics 📚 Laws of Motion

Impulse

Physics → Mechanics → Laws of Motion → Momentum
$$J = F \Delta t = \Delta p$$
The change in momentum resulting from a force acting over a time interval.
📖 Physics 📚 Laws of Motion

Conservation of Linear Momentum

Physics → Mechanics → Laws of Motion → Collisions
$$m_1 u_1 + m_2 u_2 = m_1 v_1 + m_2 v_2$$
Total momentum remains constant in the absence of an external force.
📖 Physics 📚 Laws of Motion

Coefficient of Restitution

Physics → Mechanics → Work, Energy, and Power → Collisions
$$e = \frac{v_2 - v_1}{u_1 - u_2}$$
Ratio of relative velocity after collision to relative velocity before collision.
📖 Physics 📚 Work, Energy, and Power

Moment of Inertia (General)

Physics → Mechanics → System of Particles and Rotational Motion → Rotational Dynamics
$$I = \sum m_i r_i^2 = \int r^2 dm$$
The property of a body to resist changes in its rotational motion.
📖 Physics 📚 System of Particles and Rotational Motion

Gravitational Potential Energy (Universal)

Physics → Mechanics → Gravitation → Energy
$$U = -\frac{G M m}{r}$$
Work done in bringing a mass from infinity to a point in a gravitational field.
📖 Physics 📚 Gravitation

Orbital Velocity

Physics → Mechanics → Gravitation → Satellite Motion
$$v_o = \sqrt{\frac{GM}{r}}$$
Velocity required for a satellite to stay in a circular orbit.
📖 Physics 📚 Gravitation

Kepler's Third Law

Physics → Mechanics → Gravitation → Planetary Motion
$$T^2 \propto R^3$$
The square of the time period of a planet is proportional to the cube of the semi-major axis.
📖 Physics 📚 Gravitation

Stress

Physics → Properties of Matter → Mechanical Properties of Solids → Elasticity
$$\sigma = \frac{F}{A}$$
Restoring force per unit area developed inside a body.
📖 Physics 📚 Mechanical Properties of Solids

Strain

Physics → Properties of Matter → Mechanical Properties of Solids → Elasticity
$$\epsilon = \frac{\Delta L}{L}$$
Ratio of change in dimension to original dimension.
📖 Physics 📚 Mechanical Properties of Solids

Surface Tension

Physics → Properties of Matter → Mechanical Properties of Fluids → Surface Phenomena
$$S = \frac{F}{l}$$
Force per unit length acting in the plane of the interface.
📖 Physics 📚 Mechanical Properties of Fluids

Bernoulli's Theorem

Physics → Properties of Matter → Mechanical Properties of Fluids → Fluid Dynamics
$$P + \frac{1}{2}\rho v^2 + \rho gh = \text{Constant}$$
Conservation of energy for a flowing non-viscous fluid.
📖 Physics 📚 Mechanical Properties of Fluids

Equation of Continuity

Physics → Properties of Matter → Mechanical Properties of Fluids → Fluid Dynamics
$$A_1 v_1 = A_2 v_2$$
Mass flow rate remains constant in a tube of varying cross-section.
📖 Physics 📚 Mechanical Properties of Fluids

Ideal Gas Equation

Physics → Thermodynamics → Kinetic Theory of Gases → Gas Laws
$$PV = nRT$$
Equation of state for an ideal gas.
📖 Physics 📚 Kinetic Theory of Gases

Adiabatic Process Equation

Physics → Thermodynamics → Thermodynamics → Thermodynamic Processes
$$PV^\gamma = \text{Constant}$$
Relationship between P and V where no heat is exchanged.
📖 Physics 📚 Thermodynamics

Carnot Engine Efficiency

Physics → Thermodynamics → Thermodynamics → Heat Engines
$$\eta = 1 - \frac{T_L}{T_H}$$
Maximum possible efficiency for any heat engine.
📖 Physics 📚 Thermodynamics
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