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  4. A wheel makes 360 revolutions in 1 min. It turns in 1 s by

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Q. A wheel makes $360$ revolutions in $1 \min$. It turns in 1 s by

Trigonometric Functions

Solution:

In one minute, wheel turns by $(360 \times 2 \pi)$ radian
$(\because 1$ revolution $=2 \pi$ radian $)$
$\therefore$ In $1 s$, wheel turns by $\left(\frac{360 \times 2 \pi}{60}\right)$ radian.
or, In $1 s$, wheel turns by $12 \pi$ radian.