Answer:
α = -0.47 rad/sec²
Explanation:
- Assuming that the angular acceleration is constant, we can apply the following kinematic equation:
[tex]\omega^{2}_{f} - \omega^{2}_o} = 2* \alpha* \Delta \theta (1)[/tex]
- Since the fan comes to an stop, ωf = 0.
- In order to get the value of the angular acceleration in rad/sec2, we neeed to convert first ω₀ to rad/sec, and Δθ, to rad, as follows:
[tex]\omega_{o} = 850 rev/min * \frac{2*\pi rad}{rev} * \frac{1min}{60 sec} = 89 rad/sec (2)[/tex]
[tex]\Delta \theta = 1350 rev *\frac{2*\pi rad}{1rev} = 8482.3 rad (3)[/tex]
[tex]\alpha = \frac{-\omega_{o}^{2} }{2*\Delta\theta} = -0.47 rad/sec2 (4)[/tex]
