physics equations

friction

newton (vector)

STATIC:

• F_sf<=U_s(F_N)

• force of static friction is equal to coefficient of static friction times natural force

KINETIC:

• F_fk=U_k(F_N)

• force of kinetic friction is equal to coefficient of kinetic friction times natural force

normal force

• newton (vector)

• F=ma

torque

• newton- meter (vector)

• sigma T= rFsin(pheta)

• torque= length of acting force from pivot force of spring) (sin of angle being pulled back)

angular acceleration

• radian/s²- vector

• α=Δω/Δt

• alpha= change in angular velocity over time

• OR alpha= sigma torque/ moment of inertia

linear acceleration

• m/s² vector

• a= change in v/t

• a= F/m

spring/tension force

• newtons- vector

• F_s=-k(x)

• force of spring is equal to negative spring constant times distance from tension (how far back we pull it)

energy

• scalar - jules

• potential

  • U_g=w(h)

    • potential gravitational energy equals weight times height

  • U_s=1/2k(x)²

    • potential spring energy= ½ (spring constant) (distance pulled)²

• kinetic

  • rotational

    • K_s=1/2(I)(ω)²

      • rotational kinetic energy (spring)= ½ inertia times angular velocity squared

  • translational

    • K_T= ½ mv²

    • translational kinetic energy (energy through space)= ½ mass(velocity squared)

air resistance

• newton (vector)

• F_air= -b(v)

  • force of air = -drag factor (velocity)