diff --git a/notes/phys1/phys1_ap-reference.txt b/notes/phys1/phys1_ap-reference.txt new file mode 100644 index 0000000..851152e --- /dev/null +++ b/notes/phys1/phys1_ap-reference.txt @@ -0,0 +1,83 @@ +== CONSTANTS == +G=6.67E-11 m^3/(kg-s^2) (gravitational) +g=9.8 m/s^2 (Earth gravity) +g=9.8 N/kg (gravitational field) +1 atm = 1.0E5 N/m^2 = 1.0E5 Pa + +== KINEMATICS == +v_x = v_x0 + a_x*t +x = x_0 + v_x0*t + 0.5*a_x*t^2 +v_x^2 = v_x0^2 + 2*a_x*(x-x_0) + +== DYNAMICS == +x_cm = sum(m_i*x_i) / sum(m_i) +a_sys = sum(F) / m_sys = F_net / m_sys +F_g = G*m_1*m_2/r^2 +F_f <= mu*F_N +F_s = -k*delta_x +a_c = v^2/r + +== ENERGY == +K = 0.5*m*v^2 +W = F_parallel*d = F*d*cos(theta) +delta_K = sum(W_i) = sum(F_parallel_i*d_i) +U_s = 0.5*k*(delta_x)^2 +U_G = -G*m_1*m_2/r +delta_U_g = m*g*delta_y +P_avg = W/delta_t = delta_E/delta_t +P_inst = F_parallel*v = F*v*cos(theta) + +== MOMENTUM == +p = m*v +F_net = delta_p/delta_t = m*delta_v/delta_t = m*a +J = F_avg*delta_t = delta_p +v_cm = sum(p_i) / sum(m_i) = sum(m_i*v_i) / sum(m_i) + +== ROTATION == +omega = omega_0 + alpha*t +theta = theta_0 + omega_0*t + 0.5*alpha*t^2 +omega^2 = omega_0^2 + 2*alpha*(theta-theta_0) +v = r*omega +a_T = r*alpha +tau = r_perp*F = r*F*sin(theta) +I = sum(m_i*r_i^2) +I' = I_cm + M*d^2 +alpha_sys = sum(tau) / I_sys = tau_net / I_sys +K = 0.5*I*omega^2 +W = tau*delta_theta +L = I*omega +L = m*v*r*sin(theta) +delta_L = tau*delta_t +delta_x_cm = r*delta_theta +T = 1/f +T_s = 2*pi*sqrt(m/k) (spring) +T_p = 2*pi*sqrt(l/g) (pendulum) +x = A*cos(2*pi*f*t) or x = A*sin(2*pi*f*t) + +== FLUIDS == +rho = m/V +P = F_perp/A +P = P_0 + rho*g*h +P_gauge = rho*g*h +F_b = rho*V*g +A_1*v_1 = A_2*v_2 +P_1 + rho*g*y_1 + 0.5*rho*v_1^2 = P_2 + rho*g*y_2 + 0.5*rho*v_2^2 + +== GEOMETRY == +Rectangle: A = b*h +Triangle: A = 0.5*b*h +Circle: A = pi*r^2, C = 2*pi*r, s = r*theta +Solid: V = l*w*h +Cylinder: V = pi*r^2*l, S = 2*pi*r*l + 2*pi*r^2 +Sphere: V = 4/3*pi*r^3, S = 4*pi*r^2 +Right triangle: a^2+b^2=c^2 +sin(theta) = a/c, cos(theta) = b/c, tan(theta) = a/b + +== COMMON ANGLES == +theta=0: sin=0, cos=1, tan=0 +theta=30: sin=0.5, cos=sqrt(3)/2, tan=sqrt(3)/3 +theta=37: sin=3/5, cos=4/5, tan=3/4 +theta=45: sin=sqrt(2)/2, cos=sqrt(2)/2, tan=1 +theta=53: sin=4/5, cos=3/5, tan=4/3 +theta=60: sin=sqrt(3)/2, cos=0.5, tan=sqrt(3) +theta=90: sin=1, cos=0, tan=infinity \ No newline at end of file