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A cyclist completes full round of a circular track of radius 318 m in 1.5 min, Find its speed and velocity? Plz answer this in steps, it would help me a lot

Answer»

Given:

A cyclist completes full round of a circular TRACK of radius 318 m in 1.5 min.

To find:

SPEED and Velocity of cyclist.

Calculation:

Speed is DEFINED as the total distance divided by the time TAKEN to cover that distance.

\rm{speed =  \dfrac{distance}{time} }

=  >  \rm{speed =  \dfrac{2\pi r}{t} }

=  >  \rm{speed =  \dfrac{2\pi (318)}{1.5 \times 60} }

\boxed{ =  >  \rm{speed = 22.2 \: m {s}^{ - 1} }}

Velocity is defined as the total Displacement divided by the time taken to cover the specific Displacement.

Here Displacement is zero , because the cyclist starts and stops at the same point.

\rm{velocity =  \dfrac{displacement}{time} }

=  >  \rm{velocity =  \dfrac{0}{1.5 \times 60} }

\boxed{ =  >  \rm{velocity =  0 \: m {s}^{ - 1} }}

Hope It Helps.



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