Shows the angular position of a potter's wheel.

A.) What is the angular displacement of the wheel between t = 5 s and t = 15 s?

Express your answer in radians.

B.) What is the angular velocity of the wheel at 15 s?

Express your answer in radians per second.

C.) What is the maximum speed of a point on the outside of the wheel 15 cm from the axle?

Express your answer with the appropriate units.

I keep getting these questions wrong, so I would appreciate explanations for any answers.

### Answer

`\text { a) } \Delta \theta=\theta_{f}-\theta_{i}=62.5-50=\overline{12.5 \mathrm{rad}}`

`\text { b) } \omega_{15}=\frac{50-75}{20-10}=-2.5 \mathrm{rad} / \mathrm{sec}`

`\text { c) } \left(\omega_{\max }\right)_{15}=\frac{75-25}{10-0}=5 \mathrm{rad} / \mathrm{sec}`

`v_{\max }=5 * 0.15=0.75 \mathrm{~m} / \mathrm{s}`