Question

A cyclists goes around a circular track once every 120sec .if the radious of the circular track is 105 metre calculate his speed .r=105m,t=120sec,take π=22/7.

Answer 1

Answer

5.5 m/s

Given

A cyclists goes around a circular track once every 120 sec .if the radius of the circular track is 105 metre

To Find

Speed

Solution

We know that ,

$\bf Speed=\dfrac{Distance}{Time}\\\\\implies \bf Speed=\dfrac{Circumference\ of\ circle}{Time}\\\\\implies \bf Speed=\dfrac{2\pi r}{t}\\\\\implies \bf Speed=\dfrac{2*22/7*105}{120}\\\\\implies \bf Speed=\dfrac{2*22\ *15}{120}\\\\\implies \bf Speed=\dfrac{22*15}{60}\\\\\implies \bf Speed=\dfrac{11}{2}\\\\\implies \bf Speed=5.5\ m/s$

Answer 2

SOLUTION :

$\underline{\bf{Given\::}}}}}$

• The radius of the circular track is (r) = 105 m
• Time = 120 seconds.
• pie = 22/7

$\underline{\bf{To\:find\::}}}}}$

Speed of bicycle.

$\underline{\bf{Explanation\::}}}}}$

We know that formula of the circular track or perimeter of circle:

$\boxed{\bf{Perimeter(dis.)=2\pi r}}}$

A/q

$\longrightarrow\sf{Speed=\dfrac{Distance}{Time} }\\\\\\\longrightarrow\sf{Speed=\dfrac{2\pi r }{t}}\\\\\\\longrightarrow\sf{Speed=\dfrac{2\times \dfrac{22}{\cancel{7}}\times \cancel{105 }}{120} }\\\\\\\longrightarrow\sf{Speed=\dfrac{44\times 15}{120} }\\\\\\\longrightarrow\sf{Speed=\cancel{\dfrac{660}{120} }}\\\\\\\longrightarrow\bf{Speed=5.5m/sec.}$

Thus;

The speed of bicycle will be 5.5m/sec .