Rotational Kinematics
This quantity is equal to an object's angular displacement over time.
What is angular velocity/speed?
This quantity refers to a "twisting force" that tends to cause an object to rotate.
What is torque?
This is the energy associated with the rotation of an object.
What is rotational kinetic energy?
Who is Qui-Gon Jinn?
This quantity is equal to the change in angular velocity over time.
What is angular acceleration?
Torque is maximized when this angle between the force and lever arm is this value.
What is 90 degrees?
This formula gives the rotational kinetic energy of a rigid object.
K_r = 1/2 I * omega^2
This equation defines angular momentum for a rigid object rotating about a fixed axis.
What is L = I * omega?
It is known as Khazad-dûm in the language of the dwarves, and is the only known source of mithril in all of Middle Earth.
What are the Mines of Moria?
As a solid wheel accelerates, the angular velocity is the same at any point on the wheel; THIS value, however, is NOT.
What is tangential/linear velocity?
This equation gives the magnitude of torque due to a force applied at a distance r.
tau = r * F * sin(theta)
Rolling objects have both translational and rotational kinetic energy because different parts of the object have different _____.
Speeds
Angular momentum is conserved when this net quantity acting on a system is zero.
What is torque?
In the original Jurassic Park film, all the dinosaurs are able to escape because of Dennis Nedry's plan to escape with stolen embryos. However, he never actually makes it off the island because he is eaten by this kind of dinosaur.
What is a dilophosaurus?
A disk rolls without slipping. This equation relates the linear speed of its center of mass to its angular speed.
v = r * omega
For a rigid object rotating about a fixed axis, this rotational version of Newton’s Second Law applies.
tau = I * alpha
Between two spheres with the same mass and radius rolling down a ramp, but one is hollow and the other solid, this one reaches the bottom first.
What is the solid sphere?
A figure skater spins faster when pulling in their arms because their moment of inertia decreases, causing this quantity to increase.
What is angular velocity/speed?
Sauron was the "Dark Lord" of the Second and Third Ages of Middle Earth. However, during the First Age, the realms of Beleriand were terrorized by this being, the original Dark Lord, who was one of the Valar before he fell to evil and sought to corrupt all the creations of Eru.
Who is Melkor or Morgoth?
A wheel accelerates at 1.45 rad/sec^2. What is its angular frequency, in revolutions per minute, after 12 seconds?
166.2 rpm
A door is easiest to open when the force is applied far from the hinges because this quantity is maximized.
What is the lever arm (or torque)?
This physical quantity determines how rotational kinetic energy depends on mass distribution.
What is moment of inertia OR rotational inertia
This conservation law explains why planets move faster at perihelion than at aphelion.
What is conservation of angular momentum?
On the peak of Weathertop, in the remains of the watchtower of Amon Sûl, Frodo Baggins is stabbed by the Witch-King of Angmar, who is taken aback when Frodo calls upon the name of this divine being, one of the chief of the Valar, the wife of Manwë Súlimo and creator of the stars.
Who is Varda OR Elbereth Gilthoniel?