Question:
Ratio of angular velocity of hour hand of a watch and the angular velocity of rotation of earth is
Ratio of angular velocity of hour hand of a watch and the angular velocity of rotation of earth is
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Compare periods using $\omega = \dfrac{2\pi}{T}$ to get angular velocity ratios.
Updated On: Jun 4, 2025
- $1 : 1$
- $2 : 1$
- $4 : 1$
- $1 : 2$
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The Correct Option is B
Solution and Explanation
Angular velocity $\omega = \dfrac{2\pi}{T}$
$T_{hour\ hand} = 12~\text{hr} = 43200~\text{s}$, $T_{earth} = 24~\text{hr} = 86400~\text{s}$
$\dfrac{\omega_{hour}}{\omega_{earth}} = \dfrac{1/43200}{1/86400} = 2 : 1$
$T_{hour\ hand} = 12~\text{hr} = 43200~\text{s}$, $T_{earth} = 24~\text{hr} = 86400~\text{s}$
$\dfrac{\omega_{hour}}{\omega_{earth}} = \dfrac{1/43200}{1/86400} = 2 : 1$
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