## anonymous one year ago A 1.0 kg flywheel of radius 0.30m,initially at rest rotates 1000 times in 10.0 s. compute personally the following a)angular acceleration b)final angular velocity c)average linear velocity d) change in rotational kinetic energy

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1. Michele_Laino

final angular speed is: $$\omega = 2\pi n$$ where $$n=1000$$

2. Michele_Laino

so, angular acceleration is: $$\alpha = \frac{\omega }{{\Delta t}}$$, where $$\Delta t=10.0$$

3. Michele_Laino

change in rotational kinetic energy is: $\Delta KE = \frac{1}{2}I{\omega ^2}$ where $$I$$ is the inertia momentum of the wheel

4. Michele_Laino

finally: average linear speed is: $\frac{{0 + \omega r}}{2} = \frac{{\omega r}}{2}$ where $$r$$ is the radius of the wheel

5. anonymous

Ina shoots a large marble (Marble A, mass: 0.08 kg) at a smaller marble (Marble B, mass: 0.05 kg) that is sitting still. Marble A was initially moving at a velocity of 0.5 m/s, but after the collision it has a velocity of -0.1 m/s. What is the resulting velocity of marble B after the collision? Be sure to show your work for solving this problem along with the final answer. (5 points)