Question

Find the ratio angular velocity of rotation of hour hand to that of Earth's rotation about its own axis​

Answer 1

Answer:

Hour hand of a watch or a clock turns 1 complete circle in 12 hours. Its angular velocity,ω

1

=

12

2π

hours=

6

π

radians / hour

Angular velocity of revolution of earth around its own axis ω

2

=

24

2π

hours

=

12

π

radians / hour

Because it takes 24 hours to complete 1 complete circle .

Required ratio,

ω

2

ω

1

=2:1

Answer 2

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Find the ratio angular velocity of rotation of hour hand to that of Earth's rotation about its own axis

$\huge \underbrace \mathfrak \red {Answer }$

Hour hand of a watch or a clock turns 1 complete circle in 12 hours.  Its angular velocity,ω1=122π hours=6π radians / hour

Angular velocity of revolution of earth around its own axis ω2=242π hours

      =12π radians / hour

Because it takes 24 hours to complete 1 complete circle .

Required ratio,ω2ω1=2:1