Question

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

Answer 1

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$\Large\fbox{\color{purple}{QUESTION}}$

A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?

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$\bf\Huge\red{\mid{\overline{\underline{ ANSWER }}}\mid }$

➡️Given,

➡️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.

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Answer 2

Answer:

SOLUTION:-

➡️Given,

➡️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.✔