"R" You Good at Vocab?
The shortest distance between the center of a circle to one of its edges.
Radius
Δx
Δθ
An object whose mass is entirely distributed throughout the axis of rotation
No moment of inertia (0)
This law is why you spin faster if you bring your arms in- similarly to how if you throw mass off of a boat, it will speed up.
Law of Conservation of (Angular) Momentum
This is the deepest point of Earth's ocean.
The Mariana Trench
Instead of angular dynamics, we also use this term to describe spinning kinematics.
Rotational
v
ω
An ideal 10m long string is held at one end and is spinning a 1kg mass at its other end
100 kg m2
Torque being proportional to moment of inertia and angular acceleration is the rotational version of this law
Newton's 2nd Law
Mr. Trauger is seeing a symphony play music from this farming themed game next month.
Stardew Valley
The word we use for how many times a disk went around- one whole spin is one of these.
Revolution
a
α (I know they look similar. That is alpha.)
A massless 10m long stick is held at its center and is spinning a 1kg mass at both ends
50 kg m2
This theorem shows that the moment of inertia for an object is always greater when not spun about its center of mass
Parallel Axis Theorem
This Saint is known for marrying soldiers in private when it was outlawed.
St. Valentine
We most often convert revolutions to this unit, which always has a pi term.
Radians
F
A solid cylinder with a mass of 2kg and a radius of 2m spins about its cylindrical axis
4 kg m2
Name the two requirements for an object to be in equilibrium.
1. Must have a net force acting on it of 0.
2. Must have a net torque acting on it of 0.
This is how many people on average die annually from vending machines in the US.
2-3
This is the tendency of an object to resists changes in how fast it is spinning.
Rotational Inertia
m
I
A massless 20m long stick is held at its center and is spinning. It has 5 1kg masses at every 5 m interval, including on the ends
250 kg m2
Explain the parallel axis theorem in words
The moment of inertia for an object spinning about an axis parallel to an axis through its center of mass increases with distance between the two axes. It is proportional to the mass of the entire object and the square of that distance.
This British biologist is most famous for his voice that spans over many different nature documentaries. He achieved knighthood twice for his conservationist efforts.
David Attenborough