Summary
Lecture 16
Rotational and Linear Motion
D
isplacement
Linear:
Δ
x, measured in [m]
Rotational:
Δθ
difference in angle
, difference in angle
measured in [rad]
360 degrees = 2
π
rad
C
i
θ
[
d]
θ
[d
] *2 /360
Conversion:
[rad] =
[degrees] *2
π
/360
Arc-length
l
:
l
=
θ
r;
θ
in [rad]
V l
it
Velocity
Linear:
v =
Δ
x/
Δ
t, measured in [m/s]
Rotational:
ω
=
Δθ
/
Δ
t, measured in [rad/s]
Period
T = time for one revolution
Frequency
f = # of revs per second
f = 1/T
ω
= 2
π
/T = 2
π
f
Acceleration
Linear:
a =
Δ
v/
Δ
t, measured in [m/s
2
]
Rotational:
α
=
Δθ
/
Δ
t; measured in [rad/s
2
]

This
** preview**
has intentionally

**sections.**

*blurred***to view the full version.**

*Sign up*
Uniformly Accelerated Motion:
(constant acceleration)
Linear
v = v
0
+at
Rotational
ω
=
ω
0
+
α
t
1
2
x = x
0
+v
0
t+
1
/
2
at
2
v
2
= v
0
2
+2a
Δ
x
θ
=
θ
0
+
ω
0
t+
/
2
α
t
ω
2
=
ω
0
2
+ 2
αΔθ
v = (v+v
0
)/2
ω
= (
ω
+
ω
0
)/2
+ centripetal acceleration