The rotational kinetic energy of a body is Krot and its moment of inertia is I . The angular momentum of body is:

Question

The rotational kinetic energy of a body is Krot and its moment of inertia is I . The angular momentum of body is: (A)  IKrot  (B)  2√IKrot  (C)  √2IKrot  (D)  2IKrot

Tardigrade Admin · Accepted Answer

The rotational kinetic energy of a body is given by

K_{rot} = \frac{1}{2} I ω^{2}

\Rightarrow I ω^{2} = 2 K_{rot}

\Rightarrow ω = \frac{2 K _{rot}}{I}

Angular momentum of body is given by

J = I ω \equiv I \times \frac{2 K _{ro t}}{I}

= 2 K_{rot} I

Q. The rotational kinetic energy of a body is $K_{ro t}$ and its moment of inertia is $I$ . The angular momentum of body is:

$I K_{ro t}$

$2 I K_{ro t}$

$2 I K_{ro t}$

$2 I K_{ro t}$

The rotational kinetic energy of a body is given by
$K_{rot} = \frac{1}{2} I ω^{2}$
$\Rightarrow I ω^{2} = 2 K_{rot}$
$\Rightarrow ω = \frac{2 K _{rot}}{I}$
Angular momentum of body is given by
$J = I ω \equiv I \times \frac{2 K _{ro t}}{I}$
$= 2 K_{rot} I$

Q. The rotational kinetic energy of a body is Krot​ and its moment of inertia is I . The angular momentum of body is:

IKrot​

2IKrot​​

2IKrot​​

2IKrot​

The rotational kinetic energy of a body is given by Krot ​=21​Iω2 ⇒Iω2=2Krot ​ ⇒ω=I2Krot ​​​ Angular momentum of body is given by J=Iω≡I×I2Krot​​​ =2Krot ​I​

Q. The rotational kinetic energy of a body is $K_{ro t}$ and its moment of inertia is $I$ . The angular momentum of body is:

$I K_{ro t}$

$2 I K_{ro t}$

$2 I K_{ro t}$

$2 I K_{ro t}$

The rotational kinetic energy of a body is given by
$K_{rot} = \frac{1}{2} I ω^{2}$
$\Rightarrow I ω^{2} = 2 K_{rot}$
$\Rightarrow ω = \frac{2 K _{rot}}{I}$
Angular momentum of body is given by
$J = I ω \equiv I \times \frac{2 K _{ro t}}{I}$
$= 2 K_{rot} I$