Question

A person is travelling on a circular ground with uniform circular motion , if the radius of the ground is 42m and he is running with a speed of 6m/s then find out the time taken by him to complete one full round of the ground . Pls answer fast

Answer 1

Explanation:

Radius=42m(given)

speed=6m/s

Distance travelled by person =2πr

Distance=2×22/7×42=2×22×6=264m.

Time=Distance/speed

Speed=6m/s (given)

Time=264/6=44sec.

Answer is 44seconds.

Pls mark it as Brainliest answer

Answer 2

Answer :

➥ Time taken by the person = 44 sec

Given :

➤ Radius of the ground (r) = 42 m

➤ Person running with speed (s) = 6 m/s

To Find :

➤ Time taken by person (t) = ?

Solution :

To find time taken by person first we need to find the distance covered by the person then after we find time taken by person to complete one full round of the ground.

As we know that

$\tt{:\implies Distance = 2 \pi r}$

$\tt{:\implies Distance = 2 \times \dfrac{22}{ \cancel{ \: 7 \: }} \times \cancel{42}}$

$\tt{:\implies Distance = 2 \times 22 \times 6}$

$\tt{:\implies Distance = 44 \times 6}$

$\bf{:\implies \underline{ \: \: \underline{ \green{ \: \: Distance = 264 \: m \: \: }} \: \: }}$

Now ,

We find the time taken by the person.

As we know that

$\tt{:\implies Time = \dfrac{Distance}{Speed}}$

$\tt{:\implies Time = \cancel{ \dfrac{264}{6}}}$

$\bf{:\implies \underline{ \: \: \underline{ \purple{ \: \: Time = 44 \: sec \: \: }} \: \: }}$

Hence, the time taken by person to complete one full round of the ground is 44 sec.

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Some related formulae :

⪼ Speed = Distance ÷ Time taken

⪼ Distance = Speed × Time taken

⪼ Time = Distance ÷ Speed