a wheel makes 360 revolutions in 1 minute.trough how many radians does it turn in 1 second
Answers
Answered by
5
To Find :
how many radians does the wheel turn in 1
second.
Solution :
In 1 Minute wheel makes 360 revolutions
and 1 minute = 60seconds
So, we can also say that In 60 seconds wheel makes 360 revolutions.
In 1 second Wheel makes
= 360/60
= 36/6
= 6 revolutions
we know that,
1π radian = 180°
So, 2π radian = 360
In 1 second Wheel turns in 6 × 2π = 12 π radian
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Answered by
101
Number of revolutions made by the wheel in 1 minute = 360
1 minute = 60 seconds
Number of revolutions in 1 second = 360/60 = 6
Angle made in 1 revolution = 360°
Angles made in 6 revolutions = 6 × 360°
Radian measure of the angle in 6 revolutions = 6 × 360 × π/180
= 6 × 2 × π
= 12π
Hence, the wheel turns 12π radians in one second
Hope It's Helpful.....:)
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