Question

A clock has its second hand 2.0 cm long . Find the average speed and modulus of average velocity of the tip of the second hand in 15s

Answer 1

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Answer 2

Answer:

The average speed and the modulus of average velocity of the tip is 0.21 cm/s and 0.188 cm/s

Explanation:

Given that,

Length l = 2.0 cm

Time t = 15 s

The average speed of the tip is

$v_{av}=\dfrac{d}{t}$

$v_{av}=\dfrac{\dfrac{2\pi r}{4}}{15}$

$v_{av} = \dfrac{\pi}{15}\ cm$

$v_{av}=\dfrac{3.14}{15}$

$v_{av}=0.21\ cm/s$

The modulus of average velocity of the tip

$velocity =\dfrac{displacment}{time}$

$v_{av}=\dfrac{r\sqrt{2}}{15}$

$v_{av}=\dfrac{2\sqrt{2}}{15}$

$v_{av}= 0.188\ cm/s$

Hence, The average speed and the modulus of average velocity of the tip is 0.21 cm/s and 0.188 cm/s