Question

A cyclist is moving on a circular road

of radius 5 m if he completes half of the

path after 5 minutes Find the ratio of avg

velocity and avg speed​

Answer 1

▶ Solution :

Given :

A cyclist is moving on a circular road of radius 5m and complete half of the total path in 5min.

To Find :

Ratio of average velocity and average speed.

Concept :

✴ Average velocity is defind as ratio of total displacement to the total time whereas average speed is defined as ratio of total distance travelled to the total time taken.

✴ Average velocity is a vector quantity.

✴ Average speed is a scalar quantity.

Calculation :

$\implies\sf\:\dfrac{av.velocity}{av.speed}=\dfrac{displacement}{distance}\\ \\ \implies\sf\:\dfrac{av.velocity}{av.speed}=\dfrac{2R}{\pi{R}}\\ \\ \implies\sf\:\dfrac{av.velocity}{av.speed}=\dfrac{2}{\pi}\\ \\ \implies\boxed{\bf{\purple{\overline{velocity}:\overline{speed}=2:\pi}}}$

Answer 2

Aɴꜱᴡᴇʀ

➜ 2:π

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Gɪᴠᴇɴ

☞ A cyclist is moving on a circular road of radius 5m and complete half of the total path in 5min.

_________________

ᴛᴏ ꜰɪɴᴅ

✪ Ratio of average velocity

✪ Average speed

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Sᴛᴇᴘꜱ

Substituting the given values,

$\begin{lgathered}\leadsto\tt\:\frac{average \: velocity}{average \: speed}=\frac{displacement}{distance}\\ \\ \leadsto\tt\: \frac{av.velocity}{av.speed}=\frac{2R}{\pi{R}}\\ \\ \leadsto\tt\:\frac{av.velocity}{av.speed}=\frac{2}{\pi}\\ \\ \red{\dashrightarrow{\sf{\overline{velocity}:\overline{speed}=2:\pi}}}\end{lgathered}$

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$\huge \rm{}Additional \: Information$

➤ Average velocity is defind the ratio of total displacement to the total time.

➤ Average velocity is a vector quantity.

➤ Average speed is defined as ratio of total distance travelled to the total time taken.

➤ Average speed is a scalar quantity.

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