Linear Quantities
r
What is the radius
ω
What is angular velocity
Time taken to complete one rotation
What is the Period (T)
Is assigned a positive sign always
What is Counterclockwise direction
What is the angular velocity of the block at t=0?
3/4 rad/s (0.75)
Arad
α
What is angular acceleration
How frequently an event is happening per second (# of rotations per second)
What is frequency (f)
Is assigned a negative sign always
What is Clockwise direction
What is the frequency at t=0?
0.119 Hz
S
What is linear displacement/arc length
The angular counterpart of linear displacement along an arc
What is rθ
Change of angle in one rotation/time for 1 rotation
What is angular frequency
ω=2π/t or ω=2πf
The sign we would give to a disk spinning CW when it's facing you
What is negative
How long does it take the disk to complete one rotation at t=1?
Vtan
What is tangential velocity
The angular counterpart of tangential speed
What is rω
The derivative of Vtan
What is rdθ/dt or rω
The sign you would assign a disk that is spinning clockwise to the person directly ACROSS from you (looking at opposite side of disk)
what is + (CCW to you)
How long does it take the disk to turn by 2 rad before stopping?
3.47 s
Atot
What is sqrt(Arad^2+Atan^2)
The angular counterpart of tangential acceleration
What is rα
The second derivative of Vtan (First derivative of Atan)
What is rdω/dt or rα
The sign the person directly across from you (looking at the opposite side of the disk) would assign a disk that is spinning clockwise to YOU
What is the net force on the block at t=1?
12.16 N