Question

The ratio of angular speed of a hour-hand to the second-hand of a watch is ____________.

पर्याय

• 3600 : 1

• 1 : 720

• 720 : 1

• 60 : 1

Answer 1

The ratio of angular speed of a hour-hand to the second-hand of a watch is 1 : 720.

Explanation:

Angular speed of hour hand,

`omega_1 = (2pi)/(12 xx 60 xx 60)`       (T = 12hr)

Angular speed of second hand,

`omega_2 = (2pi)/60`                           (T = 60 seconds)

`omega_1/omega_2 = 1/(12 xx 60)`

` = 1/720`