Given :
A race car moves along a circular track of radius 100m at a velocity of 25m/s.
To Find :
(a) What is the time taken to complete one lap of the circular track.
(b) What is the time taken for 10 laps.
Solution :
Circumference of circular track,
[tex]C = 2\pi r\\\\C = 2\times \pi \times 100\ m\\\\C = 628.32 \ m[/tex]
a) Time taken to complete one lap is :
[tex]t= \dfrac{628.32}{25}\ s\\\\t =25.13 \ s[/tex]
b) Time taken to complete 10 laps is :
[tex]t_{10} = 10\times t\\\\t_{10} = 10\times 25.13\ s\\\\t_{10} = 251.3\ s[/tex]
Hence, this is the required solution.
