Question

a peg on a turntable moves with a constant tangential speed of 0.68 m/s in a circle of radius 0.25 m. the peg casts a shadow on a wall. find the following quantities related to the motion of the shadow.

part a

part b

part c
find the maximum speed.
express your answer using two significant figures.
\\(v_{\text{max}} = \\) m/s

part d
find the maximum magnitude of the acceleration.
express your answer using two significant figures.
\\(a_{\text{max}} = \\) \\(\text{m/s}^2\\)

Explanation:

Relate shadow motion to circular motion parameters

$$
LATEXBLOCK0
$$

Determine maximum speed of the shadow

$$ v_{\max} = v = 0.68\text{ m/s} $$

Determine maximum magnitude of the acceleration of the shadow

$$ a_{\max} = a_c = \frac{v^2}{r} = \frac{0.68^2}{0.25} = 1.8496\text{ m/s}^2 \approx 1.8\text{ m/s}^2 $$

Answer:

No.	Problem	Answer
Part D	Find the maximum magnitude of the acceleration	\(1.8\text{ m/s}^2\)