Question

The ratio of the angular speed of minute hand and hour hand of a watch is ____________.

Options

• 6 : 1

• 12 : 1

• 1 : 6

• 1 : 12

Answer 1

The ratio of the angular speed of minute hand and hour hand of a watch is 12 : 1.

Explanation:

Angular speed of minute hand,

`omega _"m" = (2pi)/(60 xx 60)"rad"//"s"`

Angular speed of hour hand,

`omega_"h" = (2pi)/(12 xx 60 xx 60)"rad"//"s"`

`therefore omega_"m"/omega_"h" = 12`