Question

A wheel makes 360 revolutions in 1 minute. through how many radians does it turn in 2 seconds.

Answer 1

To find :

• we need to find that how many radians does the wheel turn in 2 second.

Given :

• In one minute wheel makes 360 revolutions.

So,

As we know that,

• 1min = 60 sec

So, we can also say that In 60 Seconds the wheel makes 360 revolutions.

And

In 1sec wheel makes :

= 360/60

= 36/6

= 6 revolutions

As we know that

$\blue{ \bf \: 1\pi {}^{c} = 180 \degree}$

So,

$\blue{ \bf \: 2\pi {}^{c} = 360 \degree}$

In one second the wheel will turn in :-

1 Revolution = 360° = 2π radian

6 revolution = 6 × 2π

= 12π radian

In 2 seconds wheel will turn in :

= 2 × 12π

= 24π radian.

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Answer 2

$\huge\red{Solution}$

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 2second, the wheel turns an angle of 24π radian.

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