Kevin S. Huang

2009: Problems 8-9

Topic: Kinematics
Concepts: Angular kinematics, Motion graphs

Solution:

Since angular acceleration $\alpha$ is the time derivative of the angular velocity $\omega$ , we can determine $\alpha$ from a $\omega$ – $t$ plot by finding the slope.

\alpha=\frac{\Delta \omega}{\Delta t}=\frac{0-4}{2-0}\,\mathrm{s^{-2}}=-2\,\mathrm{s^{-2}}

so the answer is D.

PDF

Topic: Kinematics
Concepts: Angular kinematics, Motion graphs

Solution:

The area under a $\omega$ – $t$ plot gives the angular displacement $\Delta\theta$ . From $t=0\,\mathrm{s}$ to $t=3\,\mathrm{s}$ , the signed area is $\Delta\theta=4-1=3$ radians so the answer is E.

PDF

Kevin S. Huang

2009: Problems 8-9

Like this:

Leave a ReplyCancel reply

2009: Problems 8-9

Like this:

Leave a ReplyCancel reply

Discover more from Kevin S. Huang