Question

A wheel makes 360 revolutions in 1 minute through how many radians does it turn in one second

Answer 1

Number of revolutions made by the wheel in 1 minute = 360

∴Number of revolutions made by the wheel in 1 second =360/60 = 6

In one complete revolution, the wheel turns an angle of 2π radian.

Hence, in 6 complete revolutions, it will turn an angle of 6 × 2π radian, i.e.,

12 π radian

Thus, in one second, the wheel turns an angle of 12π radian.

Answer 2

Hii frnds,

Given,

1' = 60"--> 360 revolutions

1" -----> ?

1" = 360/ 60 = 6 revolution

W.k.t,

Angle made in one revolution = 360°

= 2π

Angle made in 6 revolution = 6× 2π

= 12π

HOPE IT HELPS......... :D