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# Problem: A flywheel with a radius of 0.500 m starts from rest and accelerates with a constant angular acceleration of 0.600 rad/s2.You may want to review (Pages 280 - 283).For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Throwing a discus.1. Compute the magnitude of the tangential acceleration of a point on its rim at the start.2. Compute the magnitude of the tangential acceleration of a point on its rim after it has turned through 60.0 .3. Compute the magnitude of the tangential acceleration of a point on its rim after it has turned through 120.0.4. Compute the magnitude of the radial acceleration of a point on its rim at the start.5. Compute the magnitude of the resultant acceleration of a point on its rim at the start.6. Compute the magnitude of the radial acceleration of a point on its rim after it has turned through 60.0.7. Compute the magnitude of the resultant acceleration of a point on its rim after it has turned through 60.0.8. Compute the magnitude of the radial acceleration of a point on its rim after it has turned through 120.0.9. Compute the magnitude of the resultant acceleration of a point on its rim after it has turned through 120.0 .

###### FREE Expert Solution

This problem deals with the relationship between angular acceleration, radial/centripetal acceleration, and tangential acceleration.

We'll also need to apply rotational kinematics because radial/centripetal acceleration depends on angular velocity.

Tangential acceleration:

$\overline{){{\mathbf{a}}}_{{\mathbf{t}}}{\mathbf{=}}{\mathbf{r}}{\mathbf{\alpha }}}$

$\overline{){{\mathbf{a}}}_{{\mathbf{c}}}{\mathbf{=}}\frac{{\mathbf{v}}^{\mathbf{2}}}{\mathbf{r}}{\mathbf{=}}{\mathbf{r}}{{\mathbf{\omega }}}^{{\mathbf{2}}}}$

###### Problem Details
A flywheel with a radius of 0.500 m starts from rest and accelerates with a constant angular acceleration of 0.600 rad/s2.

You may want to review (Pages 280 - 283).

For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Throwing a discus.

1. Compute the magnitude of the tangential acceleration of a point on its rim at the start.

2. Compute the magnitude of the tangential acceleration of a point on its rim after it has turned through 60.0 .

3. Compute the magnitude of the tangential acceleration of a point on its rim after it has turned through 120.0.

4. Compute the magnitude of the radial acceleration of a point on its rim at the start.

5. Compute the magnitude of the resultant acceleration of a point on its rim at the start.

6. Compute the magnitude of the radial acceleration of a point on its rim after it has turned through 60.0.

7. Compute the magnitude of the resultant acceleration of a point on its rim after it has turned through 60.0.

8. Compute the magnitude of the radial acceleration of a point on its rim after it has turned through 120.0.

9. Compute the magnitude of the resultant acceleration of a point on its rim after it has turned through 120.0 .