Physics 211 Formula Sheet Useful Tables

This comprehensive formula sheet covers the fundamental concepts and equations taught in Physics 211.

Kinematics

• Position: r(t) = r_0 + v_0 t + 1/2 a t^2
• Velocity: v(t) = v_0 + a t
• Acceleration: a = dv/dt

Dynamics

• Newton’s Second Law: F = m a
• Gravitational Force: F_g = G m_1 m_2 / r^2
• Tension: T = mgh

Momentum

• Linear Momentum: p = mv
• Impulse: J = Ft
• Coefficient of Restitution: e = v_f/v_i

Energy

• Kinetic Energy: K = 1/2 mv^2
• Gravitational Potential Energy: U = mgh
• Elastic Potential Energy: U = 1/2 k x^2
• Conservation of Energy: E = K + U

Rotational Kinematics

• Angular Velocity: ω = dθ/dt
• Angular Acceleration: α = dω/dt
• Angular Displacement: θ = ω_0 t + 1/2 α t^2

Rotational Dynamics

• Moment of Inertia: I = Σmr^2
• Newton’s Second Law for Rotation: τ = I α
• Torque: τ = r x F

Waves and Optics

• Wave Equation: v = f λ
• Reflection: θ_r = θ_i
• Refraction: n_1 sin θ_1 = n_2 sin θ_2

Thermodynamics

• First Law of Thermodynamics: ΔQ = ΔU + ΔW
• Heat Capacity: C = dQ/dT
• Entropy: S = dQ/T

Electromagnetism

• Coulomb’s Law: F = k q_1 q_2 / r^2
• Electric Field: E = k Q/r^2
• Magnetic Field: B = μ_0 I/2πr

Applications

The concepts and equations presented in this formula sheet find numerous applications in diverse fields, including:

• Engineering: Designing structures, vehicles, and systems
• Aerospace: Modeling aircraft and spacecraft movement
• Medical Imaging: Interpreting MRI and CT scans
• Oceanography: Studying wave dynamics and ocean currents
• Nanotechnology: Understanding the behavior of materials on a nanoscale

Table 1: Physical Constants

Table 2: Conversion Factors

Table 3: Trigonometric Functions

Table 4: Derivative and Integral Rules