Question

The wheel starts spinning evenly and at n = 10 turns w = 20rad / s

the angels speeded up. Find the angular acceleration ε of a circle.

Answer 1

$$\omega=\alpha t$$

$$\theta=2\pi n=0.5\alpha t^2$$

$$2\pi n=0.5\alpha \left(\frac{\omega}{\alpha}\right)^2$$

$$4\pi n=\left(\frac{\omega^2}{\alpha}\right)$$

$$4\pi (10)=\left(\frac{20^2}{\alpha}\right)$$

$$\alpha=3.18\frac{rad}{s^2}$$