Question

A car runs at a constant speed on a circular track of radius 100m and takes 62.8s for every

circular lap. The average speed for each circular lap is​

Answer 1

$\color{darkblue}\underline{\underline{\sf Given-}}$

• Car runs at constant speed on a circular track of radius (R) = 100m
• It takes time (t) = 62.8s for every laps

$\color{darkblue}\underline{\underline{\sf To \: Find-}}$

• Average speed of each circular lap.

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$\color{darkblue}\underline{\underline{\sf Formula\:Used-}}$

$\color{violet}\blacksquare\underline{\boxed{\sf Average\:Speed=\dfrac{Total \: Distance}{Total \:Time}}}$

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❏ Total Distance (s)

$\implies{\sf s =2πR}$

$\implies{\sf s=2×3.14×100}$

$\color{orange}\implies{\sf s=628m}$

❏ Average Speed (v)

$\Large\implies{\sf v=\dfrac{Total\: Distance}{Total\;Time}}$

$\implies{\sf v=\dfrac{628}{62.8}}$

$\color{red}\implies{\sf v=10\:m/s}$

$\color{darkblue}\underline{\underline{\sf Answer-}}$

Average speed for each circular lap is $\color{red}{\sf 10\:m/s}$

Answer 2

For one circular lap , the distance can be

foumd by applying the formula :

$2\pi \: r$

2 ×22/7 ×100 = 628.57

Speed = Distance/Time

628.57/62.8= 10.009 m/s

Hope it helps

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