An object with a mass of  3 kg is traveling in a circular path of a radius of 3 m. If the object's angular velocity changes from  2 Hz to  17 Hz in  8 s, what torque was applied to the object?

Feb 8, 2016

$L = 405 \cdot \frac{\pi}{4}$

Explanation:

$L = \frac{\Delta \omega}{\Delta t} \cdot I$
$L = \frac{2 \cdot \pi \cdot 17 - 2. \pi \cdot 2}{8} \cdot I$
$L = 2 \cdot \pi \frac{15}{8} \cdot I$
$L = \left(15 \cdot \frac{\pi}{4}\right) \cdot I$
$L = m \cdot {r}^{2} = 3 \cdot {3}^{2} = 3 \cdot 9 = 27$
$L = 15 \cdot \frac{\pi}{4} \cdot 27$
$L = 405 \cdot \frac{\pi}{4}$