Question

a wheel makes 360 revolution in a one minute. Through how many radians does itrun in one second?

Answer 1

Answer :

Given 360 revolution in 1 minutes

Or

360 revolution in 60 sec ( we know 1 minutes = 60 seconds )

So,

In 1 sec total revolution = $\frac{360}{60}$ = 6
And
We know in one revolution wheel turns 360$°$
Therefore
In one second wheel turns 360$°$ $\times$ 6 = 2160$°$

And

We know 1$°$ = $\frac{\mathrm{\pi }}{180°}$ Radian
So,

2160$°$ = $\frac{\mathrm{\pi }}{180°}\times 2160°=\mathrm{\pi }\times 12=\frac{22}{7}\times 12=\frac{264}{7}=\mathbf{37}\mathbf{.}\mathbf{71}\mathbf{}\mathbf{Radian}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{(}\mathbf{}\mathbf{Ans}\mathbf{}\mathbf{)}$