First slide

Dynamics of rotational motion about fixed axis

Question

A flywheel having a radius of gyration of 2 m and mass 10 kg rotates at an angular speed of 5 rad s^-1about an axis perpendicular to it through its centre. The kinetic energy of rotation is

Moderate

A

500 J
B

2000 J
C

1000 J
D

250 J

Solution

$∴ I = m K^{2} = 10 (2)^{2} = 40 kg - m^{2}$
Kinetic energy of rotation,
$K_{R} = \frac{1}{2} I ω^{2} = \frac{1}{2} (40) (5)^{2} = 500 J$

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