Question

A wheel rounds 240 times in a minute then how many radians will it round in a second?

Answer 1

$\textbf{1 minute = 60 seconds}\\ \\ \\\mathbf{\frac{1}{60} \: \: minutes = 1 \: \: second }$




Hence,


Rounds by wheel in 1 second
$\textbf{Rounds by wheel in 1 second }= \frac{1}{60} \times 240 \\ \\ \\ \textbf{Rounds by wheel in 1 second} = 4 \: \: round$






Then, Wheel covers ( 4 × 180 )° = 720°



Hence,

Radian = 720 × 0.01745333

Radian by wheel = 12.5664

Answer 2

Given that number of revolutions made by a wheel in 1 minute = 240.

Number of revolutions made by a wheel in 1 second :

= > (240/60)

= > 4.

We know that Each revolution is $2\pi radians$

Therefore, In one second it will round to:

$= > 4 * 2\pi$

$= > 8\pi radians$

Hope this helps!