Rotational Kinetic Energy
AP Physics C Mechanics · Flashcards · Application
AP PHYSICS C MECHANICS · FLASHCARDS
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QUESTION
Find the rotational kinetic energy of a hoop with moment of inertia
I
=
0.4
kg m
2
I = 0.4 \text{ kg m}^2
I
=
0.4
kg m
2
and angular velocity
3
rad/s
3 \text{ rad/s}
3
rad/s
.
QUESTION
What is the rotational kinetic energy of a solid disk with
I
=
1
kg m
2
I = 1 \text{ kg m}^2
I
=
1
kg m
2
and
θ
′
=
2
rad/s
\theta' = 2 \text{ rad/s}
θ
′
=
2
rad/s
?
QUESTION
Calculate the rotational kinetic energy for
I
=
0.5
kg m
2
I = 0.5 \text{ kg m}^2
I
=
0.5
kg m
2
and
θ
′
=
4
rad/s
\theta' = 4 \text{ rad/s}
θ
′
=
4
rad/s
.
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ANSWER
K
=
4
J
K = 4 \text{ J}
K
=
4
J
. Using
K
=
1
2
I
θ
′
2
=
1
2
(
0.5
)
(
16
)
=
4
K = \frac{1}{2}I\theta'^2 = \frac{1}{2}(0.5)(16) = 4
K
=
2
1
I
θ
′2
=
2
1
(
0.5
)
(
16
)
=
4
J.
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