Answer:
4 rad =229º
Explanation:
- If we assume that the angular acceleration is constant, we an find the angular distance rotated, using a kinematic equation very similar to the one used for linear displacement, as follows:
[tex]\omega_{f} ^{2} -\omega_{0} ^{2} = 2* \alpha * \Delta \theta[/tex]
- As the DVD finally comes to rest, this means that ωf = 0.
- Replacing ω₀ and α by the respective givens, we can solve for Δθ, as follows:
[tex]\Delta \theta = \frac{\omega_{0} ^{2} }{2*\alpha} = \frac{(4rad/sec)^{2} }{2*(2.0 rad/sec2)} = 4 rad[/tex]
