Question

(a) Convert 46.0° to radians.
_______ rad

(b) Convert 17.0 rad to revolutions.
________ rev

(c) Convert 79.5 rpm to rad/s.
__________ rad/s

Answer 1

The answers are :

(a) 23π/90 radians ≈ 0.803 radians

(b) 17/2π revolutions ≈ 2.706 revolutions

(c) 79.5/60 rad/s = 13.25 rad/s

*The important formulas to remember*

1. Degrees to Radians

     $\boxed {Radian = Degree \times \frac{\pi}{180^{o}}}$

    2. Radians to Revolutions

     $\boxed {Revolution = \frac{Radian}{2\pi}}$

    3. rpm to rad/s

     $\boxed {rad/s = \frac{rpm}{60}}$