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

Question

The ratio of angular speeds of minute hand and hour hand of a watch is (A) 1:12 (B) 12:1 (C) 6:1 (D) 1:6

Tardigrade Admin · Accepted Answer

In one hour, hour hand moves by 1 hour distance on clock while minute hand moves by 12 hour distance. marked on clock. thus (w1/w2)=(2 π /1)× (12/2 π ) ⇒ (w1/w2)=(12/1)

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

$1 : 12$

$12 : 1$

$6 : 1$

$1 : 6$

In one hour, hour hand moves by 1 hour distance on clock while minute hand moves by 12 hour distance. marked on clock.
thus $\frac{w _{1}}{w _{2}} = \frac{2 π}{1} \times \frac{12}{2 π}$
$\Rightarrow \frac{w _{1}}{w _{2}} = \frac{12}{1}$

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

1:12

12:1

6:1

1:6

In one hour, hour hand moves by 1 hour distance on clock while minute hand moves by 12 hour distance. marked on clock. thus w2​w1​​=12π​×2π12​ ⇒w2​w1​​=112​

$1 : 12$

$12 : 1$

$6 : 1$

$1 : 6$

In one hour, hour hand moves by 1 hour distance on clock while minute hand moves by 12 hour distance. marked on clock.
thus $\frac{w _{1}}{w _{2}} = \frac{2 π}{1} \times \frac{12}{2 π}$
$\Rightarrow \frac{w _{1}}{w _{2}} = \frac{12}{1}$