io.github.karols.units

Mechanical

object Mechanical

Abstract definition of mechanical units, for use with explicit polymorphism.

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  1. type acceleration = **[^[UnitName, Add[Negate]], ^[ASingleUnit[~:[_l, ~:[_e, ~:[_n, ~:[_g, ~:[_t, _h]]]]]], P1]]

    = length / time²

  2. type angular_momentum = **[^[ASingleUnit[~:[_t, ~:[_i, ~:[_m, _e]]]], Negate], ^[ASingleUnit[~:[_m, ~:[_a, ~:[_s, _s]]]], P1]]

    = mass × angular velocity = mass × angle / time

  3. type angular_velocity = ^[ASingleUnit[~:[_t, ~:[_i, ~:[_m, _e]]]], Negate]

    = angle / time

  4. type area = ^[UnitName, Add[P1]]

    = length²

  5. type density = **[^[ASingleUnit[~:[_m, ~:[_a, ~:[_s, _s]]]], P1], ^[UnitName, Negate]]

    = mass / volume = mass / length³

  6. type energy = **[**[^[UnitName, Add[Negate]], ^[ASingleUnit[~:[_m, ~:[_a, ~:[_s, _s]]]], P1]], ^[UnitName, Add[Power]]]

    = force × length = mass × length² / time²

  7. type force = **[MulSingle[^[ASingleUnit[~:[_m, ~:[_a, ~:[_s, _s]]]], P1]], ^[ASingleUnit[~:[_l, ~:[_e, ~:[_n, ~:[_g, ~:[_t, _h]]]]]], P1]]

    = mass × acceleration = mass × length / time²

  8. type frequency = ^[ASingleUnit[~:[_t, ~:[_i, ~:[_m, _e]]]], Negate]

    = 1 / time

  9. type jerk = **[^[UnitName, Add[Add[Negate]]], ^[ASingleUnit[~:[_l, ~:[_e, ~:[_n, ~:[_g, ~:[_t, _h]]]]]], P1]]

    = length / time³

  10. type jounce = **[^[UnitName, Add[Add[Add[Negate]]]], ^[ASingleUnit[~:[_l, ~:[_e, ~:[_n, ~:[_g, ~:[_t, _h]]]]]], P1]]

    = length / time⁴

  11. type length = ^[ASingleUnit[~:[_l, ~:[_e, ~:[_n, ~:[_g, ~:[_t, _h]]]]]], P1]

  12. type mass = ^[ASingleUnit[~:[_m, ~:[_a, ~:[_s, _s]]]], P1]

  13. type momentum = **[MulSingle[^[ASingleUnit[~:[_m, ~:[_a, ~:[_s, _s]]]], P1]], ^[ASingleUnit[~:[_l, ~:[_e, ~:[_n, ~:[_g, ~:[_t, _h]]]]]], P1]]

    = mass × velocity = mass × length / time

  14. type power = **[**[MulSingle[^[ASingleUnit[~:[_t, ~:[_i, ~:[_m, _e]]]], Negate]], ^[ASingleUnit[~:[_m, ~:[_a, ~:[_s, _s]]]], P1]], ^[UnitName, Add[Power]]]

    = work / time = mass × length² / time³

  15. type pressure = **[**[^[UnitName, Add[Negate]], ^[ASingleUnit[~:[_m, ~:[_a, ~:[_s, _s]]]], P1]], ^[UnitName, Add[Power]]]

    = force / area = mass / (length × time²)

  16. type speed = **[^[ASingleUnit[~:[_t, ~:[_i, ~:[_m, _e]]]], Negate], ^[ASingleUnit[~:[_l, ~:[_e, ~:[_n, ~:[_g, ~:[_t, _h]]]]]], P1]]

    = length / time

  17. type time = ^[ASingleUnit[~:[_t, ~:[_i, ~:[_m, _e]]]], P1]

  18. type torque = **[**[^[UnitName, Add[Negate]], ^[ASingleUnit[~:[_m, ~:[_a, ~:[_s, _s]]]], P1]], ^[UnitName, Add[Power]]]

    = force × length = mass × length² / time²

  19. type velocity = **[^[ASingleUnit[~:[_t, ~:[_i, ~:[_m, _e]]]], Negate], ^[ASingleUnit[~:[_l, ~:[_e, ~:[_n, ~:[_g, ~:[_t, _h]]]]]], P1]]

    = length / time

  20. type volume = ^[UnitName, Add[Add[P1]]]

    = length³

  21. type work = **[**[^[UnitName, Add[Negate]], ^[ASingleUnit[~:[_m, ~:[_a, ~:[_s, _s]]]], P1]], ^[UnitName, Add[Power]]]

    = force × length = mass × length² / time²

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