diff --git a/example/aliases/experimental_angle.cpp b/example/aliases/experimental_angle.cpp
index 95c2520f..15ab817c 100644
--- a/example/aliases/experimental_angle.cpp
+++ b/example/aliases/experimental_angle.cpp
@@ -21,8 +21,10 @@
 // SOFTWARE.
 
 #include <units/generic/angle.h>
-#include <units/isq/si/energy.h>
+#include <units/isq/si/force.h>
+#include <units/isq/si/length.h>
 #include <units/isq/si/torque.h>
+#include <units/math.h>
 #include <units/quantity_io.h>
 #include <iostream>
 
@@ -30,15 +32,14 @@ int main()
 {
   using namespace units;
   using namespace units::isq;
+  using namespace units::aliases;
   using namespace units::aliases::isq::si;
 
-  const auto torque = N_m_per_rad<>(20.0 / std::numbers::pi);
-  const auto energy = J<>(20.0);
+  const Length auto lever = cm<>(20);
+  const Force auto force = N<>(500);
+  const Angle auto angle = deg<>(90);
+  const Torque auto torque = lever * force * sin(angle) / cotes_angle<>;
 
-  Angle auto angle = energy / torque;
-
-  std::cout << angle << '\n';
-  std::cout << quantity_cast<revolution>(angle) << '\n';
-  std::cout << quantity_cast<degree>(angle) << '\n';
-  std::cout << quantity_cast<gradian>(angle) << '\n';
+  std::cout << "Applying a perpendicular force of " << force << " to a " << lever << " long lever results in "
+            << quantity_cast<si::newton_metre_per_radian>(torque) << " of torque.\n";
 }
diff --git a/example/literals/experimental_angle.cpp b/example/literals/experimental_angle.cpp
index 0dce9c7d..55e4b6eb 100644
--- a/example/literals/experimental_angle.cpp
+++ b/example/literals/experimental_angle.cpp
@@ -21,8 +21,10 @@
 // SOFTWARE.
 
 #include <units/generic/angle.h>
-#include <units/isq/si/energy.h>
+#include <units/isq/si/force.h>
+#include <units/isq/si/length.h>
 #include <units/isq/si/torque.h>
+#include <units/math.h>
 #include <units/quantity_io.h>
 #include <iostream>
 
@@ -32,13 +34,11 @@ int main()
   using namespace units::isq;
   using namespace units::isq::si::literals;
 
-  const auto torque = 20.0_q_N_m_per_rad / std::numbers::pi;
-  const auto energy = 20.0_q_J;
+  const Length auto lever = 20_q_cm;
+  const Force auto force = 500_q_N;
+  const Angle auto angle = 90._q_deg;
+  const Torque auto torque = lever * force * sin(angle) / cotes_angle<>;
 
-  Angle auto angle = energy / torque;
-
-  std::cout << angle << '\n';
-  std::cout << quantity_cast<revolution>(angle) << '\n';
-  std::cout << quantity_cast<degree>(angle) << '\n';
-  std::cout << quantity_cast<gradian>(angle) << '\n';
+  std::cout << "Applying a perpendicular force of " << force << " to a " << lever << " long lever results in "
+            << quantity_cast<si::newton_metre_per_radian>(torque) << " of torque.\n";
 }
diff --git a/example/references/experimental_angle.cpp b/example/references/experimental_angle.cpp
index e619f401..f307d98e 100644
--- a/example/references/experimental_angle.cpp
+++ b/example/references/experimental_angle.cpp
@@ -20,17 +20,16 @@
 // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
 // SOFTWARE.
 
-#include <units/bits/external/hacks.h>  // IWYU pragma: keep
+#include <units/generic/angle.h>
 
 UNITS_DIAGNOSTIC_PUSH
 UNITS_DIAGNOSTIC_IGNORE_SHADOW
 #include <units/isq/si/force.h>  // 'N' (Newton) shadows a template parameter traditionally used as a size of the array
 UNITS_DIAGNOSTIC_POP
 
-#include <units/generic/angle.h>
-#include <units/isq/si/energy.h>
 #include <units/isq/si/length.h>
-#include <units/isq/si/torque.h>  // IWYU pragma: keep
+#include <units/isq/si/torque.h>
+#include <units/math.h>
 #include <units/quantity_io.h>
 #include <iostream>
 
@@ -41,13 +40,11 @@ int main()
   using namespace units::isq::si::references;
   using namespace units::references;
 
-  Torque auto torque = 20.0 / std::numbers::pi * (N * m / rad);
-  Energy auto energy = 20.0 * J;
+  const Length auto lever = 20 * cm;
+  const Force auto force = 500 * N;
+  const Angle auto angle = 90. * deg;
+  const Torque auto torque = lever * force * sin(angle) / cotes_angle<>;
 
-  Angle auto angle = energy / torque;
-
-  std::cout << angle << '\n';
-  std::cout << quantity_cast<revolution>(angle) << '\n';
-  std::cout << quantity_cast<degree>(angle) << '\n';
-  std::cout << quantity_cast<gradian>(angle) << '\n';
+  std::cout << "Applying a perpendicular force of " << force << " to a " << lever << " long lever results in "
+            << quantity_cast<si::newton_metre_per_radian>(torque) << " of torque.\n";
 }