Q6.1 Rotating wheel (S)
The angular position of a reference point on a spinning wheel is given by
θ
=
2
t
3
-
18
t
+
3
where
t
is in seconds, and
θ
in radians.
Find the angular speed
ω
(
t
)
Find the angular acceleration
α
(
t
)
Determine if
ω
is ever zero.
Hint
Reveal
Hide
Hint
Use
Key Point 5.4
and
Key Point 5.6
.
Solution
Reveal
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Solution
Differentiating
θ
w.r.t
t
we get
ω
ω
=
6
t
2
-
18
Differentiating again we get
α
α
=
12
t
Solving for
ω
=
0
we find the wheel stationary at
.