Question

Find the average speed of a bicycle if it completes two rounds of a circular track of radius 140m twice in 5min52sec. ​

Answer 1

Answer

• Average Speed of the vehicle is 5 m/s

Given

• A bicycle completes two rounds of a circular track of radius 140 m twice in 5 min 52 sec

To Find

• The Average Speed

Solution

Average Speed is defined as " Total distance covered per total time "

Distance for Two rounds = 2 * ( 2πr)

⇒ Distance for Two rounds = 4π (140)

⇒ Distance for Two rounds = 560 π m

So , Total distance = 560 π m

Total time = 5 min 52 sec

⇒ Total time = 5(60) + 52 sec

⇒ Total time = 352 sec

So ,

$\bf Average\ Speed\ =\dfrac{Total\ distance}{Total\ time}\\\\\implies \bf Average\ Speed\ = \dfrac{560\pi}{352}\\\\\implies \bf Average\ Speed\ = 5\ m/s$

Answer 2

☣ Qᴜᴇsᴛɪᴏɴ ☣

➥ Find the average speed of a bicycle if it completes two rounds of a circular track of radius 140m twice in 5min 52sec.

⛦ Aɴsᴡᴇʀ ⛦

➥ Average speed of bicycle = 5 m/s

☄ Gɪᴠᴇɴ ☄

➤ Given track radius = 140m

➤ Total time = 5min 52 second

⚛ Tᴏ Fɪɴᴅ ⚛

➤ Average speed of bicycle = ?

❏ According To Given Question

$\sf{Total \: distance \: covered = 2 \times (2\pi r)} \\ \\ \sf{So \: total \: distance = 4 \times \pi \times 140} \\ \\ \sf{: \implies Total \: distance = 4 \times \frac{22}{ \cancel{ \: 7 \: }} \times \cancel{140}} \\ \\ \sf{: \implies Total \: distance =4 \times 22 \times 20} \\ \\ \sf{: \implies Total \: distance = 1760 \: m}$

$\sf{Total \: time = 5min \: 352sec} \\ \\ \sf{:\implies Total \: time = 5 \times 60 + 52} \\ \\ \sf{:\implies Total \: time = 352 \: sec}$

Now,

❊ As we know that the formula for finding the Average speed is ፦

$\bf{:\implies Average \: speed = \dfrac{Total \: distance}{Total \: time} }$

⤵ On putting the given value in the formula, we get

$\sf{:\implies Average \: speed = \frac{ \cancel{1760}}{ \cancel{352} }} \\ \\ \sf{ : \implies Average \:speed = \underline{ \boxed{ \purple{ \bf{ \: \: 5m/s \: \: }}}}}$