Question

A cyclist goes around a circular track
once every 2 minutes.
If radius of the
circular tract is 110m, calculate
the speed of cyclist , and also find the Average velocity?
​

Answer 1

$\color{red}\large\underline{\underline{Question:}}$

$\textit{A cyclist goes around a circular track}$$\textit{once every two minutes .if the radius}$$\textit{of the circular track is 110m,}$$\textit{calculate </p><p>the speed of cyclist ,}$$\textit{and also find the Average velocity?}$

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$\color{purple}\large\underline{\underline{To\:Find:}}$

• $\mathtt{The\:speed\:of\:the\:cyclist}$
• $\mathtt{The\:Average\:speed\:of\:the\:cyclist}$

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$\color{blue}\large\underline{\underline{Given:}}$

• $\mathtt{Time \rightarrow 2min = 120sec}$
• $\mathtt{Distance \rightarrow \dfrac{4840}{7}m}$
• $\mathtt{Displacement \rightarrow 0}$

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$\color{magenta}\large\underline{\underline{We\: know:}}$

• $\mathtt{Speed = \dfrac{Distance}{time}}$
• $\mathtt{Average\:velocity = \dfrac{Total\: Displacement}{Total\:time}}$

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$\color{blue}\large\underline{\underline{Concept:}}$

• $\textsf{First , we have to change the time from minutes to secs.}$
• $\textsf{Since, it is a circular track the displacement will be zero}$

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$\color{orange}\large\underline{\underline{Solution:}}$

$\underline{Speed:}$

we know,

$\mathtt{Speed = \dfrac{Distance}{time}}$

$\mathtt{\Rightarrow Speed = \dfrac{\dfrac{4840}{7}}{120}m\:s^{-1}}$

$\mathtt{\Rightarrow Speed = \dfrac{4840}{120 \times 7}m\:s^{-1}}$

$\mathtt{\Rightarrow Speed = 5.76m\:s^{-1}}$

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$\underline{Average\:Velocity:}$

we know,

$\mathtt{Average\:velocity = \dfrac{Total\: Displacement}{Total\:time}}$

$\mathtt{\Rightarrow Average\:velocity = \dfrac{0}{120}}$

$\mathtt{\Rightarrow Average\:velocity = 0}$

$\text{Here the displacement is zero as}$ $\text{the cyclists reached the initial position}$

Answer 2

Answer:

Explanation:

Speed= total distance/total time

Since he completes his round trip in 2 minutes

Displacement is zero but distance = perimeter (since it is a round trip) so dist= 2pi r

=2 pi 110= 220 pi = 220×3.14=660(approx)

Speed = total distance/total time

= 660/2×60=660/120 = 5.5 m/s

And average velocity = 0 since displacement in round trip is zero.

Thank you for you time.