a wheel makes 360 revolution in one minute . through how many radians it turn in one second
Answers
Question
A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?
Answer
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.
Step-by-step explanation:
given:- a wheel moves 360 revolution in one min.
..In one min = 360 revolution.
or. in 600 sec = 360 revolution.
So, in 1 second= 6 revol...
.•.we know that a wheel moves 2π radian in one second..
hence in one second = 6 ×2π
=12π .radian..
hope its thankfull..