Question

If earth completes one revolution in 24hours,what is the angular displacement made by earth in one hour.Express your answer in both radian and degree.

Answer 1

earth completes one revolution in 24 hours .
it means, angular displacement in 24 hours = 360°
so, angular displacement in 1 hour = 360/24 = 15° .
hence, angular displacement made by earth in one hour = 15°
we know, relation between radian and degree,
360° = 2π radian
1° = 2π/360 radian = π/180°
15° = 15π/180 = π/12 radian.

angular displacement made by earth in one hour = π/12 radian.

Answer 2

it is be π/12 in radian and 15° in degree