# ISQ Angle System **Namespace:** `mp_units::isq_angle` **Module:** `mp_units.systems` **Header:** `` ## Quantities | Quantity | Character | Dimension | is_kind | non_negative | Kind of | Parent | Equation | Hierarchy | |----------|:---------:|:---------:|:-------:|:------------:|:-------:|:------:|----------|:---------:| | angular_acceleration | Vector | αT⁻² | ✓ | — | [angular_acceleration](#angular_acceleration) | — | [angular_velocity](#angular_velocity) / [isq::duration](isq.md#duration) | [view](../hierarchies/angular_acceleration_isq_angle.md) | | angular_displacement | Real | α | — | — | [angular::angle](angular.md#angle) | [angular::angle](angular.md#angle) | alias to [rotational_displacement](#rotational_displacement) | [view](../hierarchies/angle.md) | | angular_frequency | Real | αT⁻¹ | ✓ | — | [angular_frequency](#angular_frequency) | — | [phase_angle](#phase_angle) / [isq::duration](isq.md#duration) | [view](../hierarchies/angular_frequency_isq_angle.md) | | angular_impulse | Vector | L²Mα⁻¹T⁻¹ | ✓ | — | [angular_impulse](#angular_impulse) | — | [moment_of_force](#moment_of_force) * [isq::duration](isq.md#duration) | [view](../hierarchies/angular_impulse.md) | | angular_measure | Real | α | — | — | [angular::angle](angular.md#angle) | [angular::angle](angular.md#angle) | [cotes_angle_constant](#cotes_angle_constant) * [isq::arc_length](isq.md#arc_length) / [isq::radius](isq.md#radius) | [view](../hierarchies/angle.md) | | angular_momentum | Vector | L²Mα⁻¹T⁻¹ | ✓ | — | [angular_momentum](#angular_momentum) | — | [isq::position_vector](isq.md#position_vector) * [isq::momentum](isq.md#momentum) / [cotes_angle_constant](#cotes_angle_constant) | [view](../hierarchies/angular_momentum_isq_angle.md) | | angular_repetency | Real | αL⁻¹ | ✓ | — | [angular_repetency](#angular_repetency) | — | [cotes_angle_constant](#cotes_angle_constant) / [isq::wavelength](isq.md#wavelength) | [view](../hierarchies/angular_repetency_isq_angle.md) | | angular_velocity | Vector | αT⁻¹ | ✓ | — | [angular_velocity](#angular_velocity) | — | [angular_displacement](#angular_displacement) / [isq::duration](isq.md#duration) | [view](../hierarchies/angular_velocity_isq_angle.md) | | angular_wavenumber | Real | αL⁻¹ | ✓ | — | [angular_repetency](#angular_repetency) | — | alias to [angular_repetency](#angular_repetency) | [view](../hierarchies/angular_repetency_isq_angle.md) | | cotes_angle_constant | Real | α | — | — | [angular::angle](angular.md#angle) | [angular::angle](angular.md#angle) | — | [view](../hierarchies/angle.md) | | loss_angle | Real | α | — | — | [angular::angle](angular.md#angle) | [angular_measure](#angular_measure) | — | [view](../hierarchies/angle.md) | | moment_of_force | Vector | L²Mα⁻¹T⁻² | ✓ | — | [moment_of_force](#moment_of_force) | — | [isq::position_vector](isq.md#position_vector) * [isq::force](isq.md#force) / [cotes_angle_constant](#cotes_angle_constant) | [view](../hierarchies/moment_of_force_isq_angle.md) | | moment_of_inertia | Tensor | L²Mα⁻² | ✓ | — | [moment_of_inertia](#moment_of_inertia) | — | [angular_momentum](#angular_momentum) / [angular_velocity](#angular_velocity) | [view](../hierarchies/moment_of_inertia_isq_angle.md) | | phase_angle | Real | α | — | — | [angular::angle](angular.md#angle) | [angular_measure](#angular_measure) | — | [view](../hierarchies/angle.md) | | phase_coefficient | Real | αL⁻¹ | ✓ | — | [phase_coefficient](#phase_coefficient) | — | [phase_angle](#phase_angle) / [isq::path_length](isq.md#path_length) | [view](../hierarchies/phase_coefficient_isq_angle.md) | | propagation_coefficient | Real | αL⁻¹ | ✓ | — | [propagation_coefficient](#propagation_coefficient) | — | [cotes_angle_constant](#cotes_angle_constant) / [isq::length](isq.md#length) | [view](../hierarchies/propagation_coefficient_isq_angle.md) | | rotation | Real | α | — | — | [angular::angle](angular.md#angle) | [rotational_displacement](#rotational_displacement) | — | [view](../hierarchies/angle.md) | | rotational_displacement | Real | α | — | — | [angular::angle](angular.md#angle) | [angular::angle](angular.md#angle) | [cotes_angle_constant](#cotes_angle_constant) * [isq::path_length](isq.md#path_length) / [isq::radius](isq.md#radius) | [view](../hierarchies/angle.md) | | solid_angular_measure | Real | α² | ✓ | ✓ | [solid_angular_measure](#solid_angular_measure) | — | pow<2>([cotes_angle_constant](#cotes_angle_constant)) * [isq::area](isq.md#area) / pow<2>([isq::radius](isq.md#radius)) | [view](../hierarchies/solid_angular_measure.md) | | torque | Real | L²Mα⁻¹T⁻² | — | — | [moment_of_force](#moment_of_force) | [moment_of_force](#moment_of_force) | — | [view](../hierarchies/moment_of_force_isq_angle.md) |