Question

the insect moves in a circular path of radius 10cm.If it takes one minute to move from a point on the path to the diametrically opposite point, find the average velocity.​

Answer 1

Aɴsᴡᴇʀ :

➥ The average velocity = 0.33 cm/s

Gɪᴠᴇɴ :

➤ Radius of circular path (r) = 20 cm

➤ It takes one minute to move from a point on the path to the diametrically opposite point.

Tᴏ Fɪɴᴅ :

➤ Average velocity = ?

Sᴏʟᴜᴛɪᴏɴ :

• Time = 1 min = 60 sec

First we need to find displacement then we find Average velocity.

We know that

Displacement = Diameter = 2r

$\sf{: \implies 2 \times 10}$

$\sf{: \implies \purple{ \underline{ \overline{ \boxed{ \green{ \bf{ \: \: 20 \: cm \: \: }}}}}}}$

Now,

$\sf{:\implies Average \: velocity = \dfrac{Displacement}{Time}}$

$\sf{:\implies \: Average velocity = \cancel{\dfrac{20}{60}}}$

$\sf{:\implies Average \: velocity = \green{ \underline{ \overline{ \boxed{ \purple{ \bf{ \: \: 0.33 \: cm/s \: \: }}}}}}}$

Hence, the average velocity is 0.33 cm/s.