Question

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

Answer 1

$\huge\underline\mathfrak\pink{♡Answer♡}$

It is given that

No. of revolutions made by the wheel in

1 minute = 360

1 second = 360/60 = 6

We know that

The wheel turns an angle of 2π radian in one complete revolution.

In 6 complete revolutions,

it will turn an angle of 6 × 2π radian = 12 π radian

Therefore,

In one second, the wheel turns an angle of 12π radian.

$<marquee>✴✌</strong><strong>Hope</strong><strong>!</strong><strong> </strong><strong>it's</strong><strong> </strong><strong>helps</strong><strong> </strong><strong>✌✴</marquee$

Answer 2

ANSWER:-

➣

• Given:-

No. of revolutions made by the wheel in

$\implies{1 \: minute = 360}$

Therefore,

$1 \: second ={\frac{360}{60}}$

$={\cancel{\frac{360}{60}}}$

$\bf{ = 6}$

• We know that:-

The wheel turns an angle of $\bf{2 \pi radian}$ in one complete revolution.

In such 6 complete revolutions,

it will turn an angle of:-

$\implies 6 × 2 \pi radian$

$\bf{= 12 \pi radian}$

Therefore,

In one second, the wheel turns an angle of $\large{\bf{12 \pi radian}}$