Physics revision notes

The way in which I revise is special I make a fucking huge list of stuff I need to know and the learn it in one go here is the first chapter of my revision notes from my book. they all have numbers in my word file and have blue font for all equations.

Page 8

1. Models reflect reality

2. Exponential changes are proportional to the quantity

3. That radioactive decay is exponential

4. The random decay smoothed out it is equal to dN/dt=-λN

5. Half life is the radioactive decay is time taken for the number of nuclei to be halved

Page 14

1. capacitance C at potential difference V is Q=CV

2. Unit of capacitance is farads

3. Exponential change of a quantity Q Is dQ/dt=kQ

4. Equation for discharge of a charge on a capacitance C through a resistance R is dQ/dt=-Q/RC

5. Discharge of capacitor is Q/Q₀=e^-t/rc

6. Discharge of radioactive substance is N/N₀=e^-λt

7. The time constant τ=RC is the time for the charge to reduce by a factor of 1/e ≈0.37

8. The half life of radioactive decay t_1/2 is equal to In2 =0.693 of the time constant 1/λ

9. Energy in capacitor=⅟₂QV=⅟₂CV²=¹/₂Q²/c

Page 22

1. The motion of a harmonic oscillator is governed by the equation d²s/dt²=a=-(2πf)²s with (2πf)²s=^k/_m

2. The period of the harmonic oscillator is independent of its amplitude

3. The variation of displacement is sinusoidal

4. Expressions for this are s=A sin (2πft) and s=A cos (2πft).

5. There is a phase difference between displacement and velocity and velocity and acceleration of π/2

End of chapter

1. The energy stored in a stretched spring at extension x is ¹/₂Kx² if the stretching force F=kx.

2. The energy stored in a oscillator is the sum of its energy ¹/₂Kx² and its kinetic energy is ¹/₂mv².

3. Resonance is where something oscillates at its natural frequency.

4. Damping controls the way in which a resonator produces high amplitude within a set frequency.

BORED YET???!!!!

WHYDIDITAKEPHYSICS?!!!

oh yeah because I want to be an engineer damn me and my high goals...