In: Physics

# what is the angular displacement of the wheel between t = 5 s and t = 15 s

(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

## Solutions

##### Expert Solution

A)

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

B)

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

C)

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

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