Question

(Figure 1) shows the angular position of a potter's wheel.

Part A What is the angular displacement of the wheel between t = 5 s and t = 15 s? Express your answer in radians.

Part B What is the angular velocity of the wheel at 15 s? Express your answer in radians per second.

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

Answer 1

A)

$d($ theta $)=62.5-50=12.5$ rad

B)

$w=d($ theta $) / d t=-(75-50) /(20-10)=-2.5$ rad/sec

C)

$w_{-} \max =(75-25) /(10-0)=5 \mathrm{rad} / \mathrm{sec}$

$\mathrm{V}_{-} \max =\mathrm{w}_{-} \max \times \mathrm{r}=5 \times 0.15=0.75 \mathrm{~m} / \mathrm{s}$