Question

A wheel makes 360 revolutions in one minute. Through how many radians does it turn in three seconds​

Answer 1

Answer:

In 1 minute the wheel turns 360 times, So in 3 seconds it turns 18 times. One revolution =360 degrees =2π radians. So 18 revolutions =36π radians.

Answer 2

Given,

Revolution/ min = 360 times

To find,

No of revolutions in 3 sec = ? (in radians)

Solution,

We know that it takes 60 sec to complete 360 revolutions.

               1 revolution = 360°                                                (i)                        

And,

                360° = 2π radians                                                (ii)

From (i) and (ii)

               1 revolution = 2π radians

By using unitary method,

                1 revolution→ 2π radians

           360 revolution→     ?

∵  No. of radians covered by 360 revolutions in 60 secs is 720 π radians.  

By using unitary method again,

                 60 secs→720 π radians

                    3 secs→      ?

Therefore, in 3 secs the wheel will cover 12 π radians.