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Standard XII
Physics
Angular Analogue of Linear Momentum
25.Show that ...
Question
25.Show that or derive an expression for the kinetic energy of a rotating body about a given axis is equal to 1/2 Lw, whre, L is angular momentum and w is angular velocity. i.e. K.E.=1/2 Lw
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Q.
Derive an expression for the kinetic energy of a body of mass
M
rotating uniformly about a given axis. Hence show that rotational kinetic energy is
=
1
2
M
×
(
L
K
)
2
Q.
The moment of inertia of a body about a given axis is
1.2
k
g
m
2
. Initially, the body is at rest. In order to produce a rotational kinetic energy of
1500
J
, and an angular acceleration of
25
r
a
d
s
−
2
, the torque that must be applied about that axis for a duration of:
Q.
A body having a moment of inertia about its axis of rotation equal to 3
k
g
−
m
2
is rotating with angular velocity of
3
r
a
d
s
−
1
. Kinetic energy of this rotating body is same as that of a body of mass
27
k
g
moving with velocity
v
. The value of
v
is
Q.
The moment of inertia of a body about a given axis is 1.2 kg
m
2
. Initially the body is at rest. In order to produce a rotational kinetic energy of 1500 J, an angular acceleration of 25
r
a
d
/
s
2
must be applied about that axis for a duration of
Q.
The moment of inertia of a body about a given axis is
1.2
kg-
m
2
. To produce a rotational kinetic energy of
1500
J an angular acceleration of
25
rad/
s
2
must be applied for.
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