Question

The ratio of angular speeds of minute hand and hour hand of a watch is.

• A. $1:12$
• B. $6:1$
• C. $12:1$
• D. $1:6$

Answer 1

The correct option is C $12:1$

${\omega }_{min}=\frac{2\pi }{60}\frac{rad}{min}$
and ${\omega }_{hr}=\frac{2\pi }{12\times 60}\frac{rad}{min}$
$\therefore \frac{{\omega }_{min}}{{\omega }_{hr}}=\frac{2\pi /60}{2\pi /12\times 60}$
$=\frac{12}{1}$