Question

A cyclist goes around a circular track once every two minute. If the radius of the circular track is 110m . Find the distance and the displacement at the end of the 15 minutes

Answer 1

Solution :

⏭ Given:

✏ Time requires for cyclist to complete one round = 2min

✏ Radius of circular path = 110m

⏭ To Find:

✏ Distance and displacement after 15min

⏭ Concept:

✏ Distance is defined as total path length covered by body and displacement is defined as the shortest distance between two points.

⏭ Calculation:

✏ No.of turns after 15 min = 15/2 = 7.5m

• Calculation of distance

$\implies \sf \: distance = 2\pi{r} \times turns \\ \\ \implies \sf \: distance = 2 \times 3.14 \times 110 \times 7.5 \\ \\ \implies \sf \: \boxed{ \sf{ \red{distance = 5181 \: m}}}$

• Calculation of displacement

$\implies \sf \: displacement = 2r \\ \\ \implies \sf \: displacement = 2 \times 110 \\ \\ \implies \: \boxed{ \sf{ \blue{displacement = 220 \: m}}}$

⏭ Additional information:

• Distance is scalar quantity.
• Displacement is vector quantity.