Question

A cyclist goes around a circular track once in every 2 min if the radius of the circular track is 105 m Calculate his speed​

Answer 1

GIVEn

A cyclist goes around a circular track once in every 2 min if the radius of the circular track is 105 m

TO FINd

Calculate cyclist speed

SOLUTIOn

• Time taken = 2min = 2*60 = 120 sec
• Radius of circle = 105 m
• Speed = ?

**Apply this formula**

→ speed = distance/time

→ v = d/t

**Cyclist running around circular path, so circumference of the circle is 2πr**

→ v = 2πr/t

→ v = 2 × 3.14 × 105/120

→ v = 659.4/120

→ v = 5.49 m/s

Thus, the speed of cyclist on circular track is 5.49 m/s

Answer 2

Answer:

⋆ DIAGRAM :

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$\rule{150}{1}$

$\underline{\bigstar\:\boldsymbol{According\:to\:the\:Question :}}$

$:\implies\sf Speed=\dfrac{Distance}{Time}\\\\\\:\implies\sf Speed=\dfrac{Circumference\:of\: Circular\:Track}{Time}\\\\\\:\implies\sf Speed = \dfrac{2\pi r}{2\:min}\\\\\\:\implies\sf Speed = \dfrac{\bcancel2 \times \frac{22}{\cancel7} \times \cancel{105}\:m}{\bcancel2 \times 60 \:s}\\\\\\:\implies\sf Speed = \dfrac{22 \times 15\:m}{60 \:s}\\\\\\:\implies\sf Speed = \dfrac{330 \:m}{60 \:s}\\\\\\:\implies\underline{\boxed{\sf Speed = 5.5 \:ms^{ - 1} }}$

⠀

$\therefore\:\underline{\textsf{Hence, Speed of the Cyclist is \textbf{5.5 ms ^{ -\text1} }}}.$