Identify the increasing order of the angular velocities of the following : 1.Earth rotating about its own axis 2.Hour’s hand of a clock 3.Second’s hand of a clock 4. Flywheel of radius 2 m making 300 rpm

Question

Dr. Abubacker · Accepted Answer

(a) (1)Angular velocity of earth
$\omega_{1} = \frac{2\pi}{T} = \frac{2\pi}{24 	imes 60 	imes 60}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \  = \frac{2\pi}{86400}\ rads^{- 1}$
(2)Angular velocity of hour’s hand of a clock
$\omega_{2} = \frac{2\pi}{T}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \  = \frac{2\pi}{12 	imes 60 	imes 60}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \  = \frac{2\pi}{43200}\ rads^{- 1}$
(3)Angular velocity of seconds hand of a clock
$\omega_{3} = \frac{2\pi}{T}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \  = \frac{2\pi}{1 	imes 60} = \frac{2\pi}{60}\ rads^{- 1}$
(4)Angular velocity of flywheel
$\omega_{4} = 2\pi n$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \  = 2\pi 	imes \frac{300}{60}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \  = 2\pi 	imes 5\ rads^{- 1}$

Q. Identify the increasing order of the angular velocities of the following : 1.Earth rotating about its own axis 2.Hour’s hand of a clock 3.Second’s hand of a clock 4. Flywheel of radius 2 m making 300 rpm

Explanation

Reviewed by Dr. Abubacker

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