Question

The ratio of the angular velocities of the hour hand and minute hand of a watch is

• A. $1:1$
• B. $1:12$
• C. $43200:1$
• D. $720:1$

Answer 1

The correct option is B $1:12$

$Inonehour,RotationofMinutehand={360}^{0}RotationofHourhand={360}^0/12={30}^{0}Asangulardisplacement=\omega t\left(noangularacceleration\right){\omega }_m\times 360=360{\omega }_h\times 360=30\therefore \frac{{\omega }_h}{{\omega }_m}=\frac{30}{360}=1/12{\omega }_h:{\omega }_m=1:12$