Question

A car round a circular track once in 10 sec. If the radius of the track is 500 m, calculate his speed?

Answer 1

Given :

• Time taken by car in covering the one round = 10 seconds
• Radius of track = 500 m

$\rule{100}{2}$

To Find :

• Speed of car.

$\rule{100}{2}$

Solution :

We know that,

$\large{\implies{\boxed{\boxed{\sf{Circumference = 2 \pi r}}}}}$

$\sf{\dashrightarrow Circumference = 2 \times \dfrac{22}{7} \times 500}$

$\sf{\dashrightarrow Circumference = \dfrac{22000}{7}}$

$\sf{\dashrightarrow Circumference = 3142.85 \: m^2}$

∴ The Distance travelled by the car is 3142.85 m²

$\rule{200}{2}$

Now,

$\large{\implies{\boxed{\boxed{\sf{Speed = \dfrac{Distance \: travelled}{Time \: taken} }}}}}$

$\sf{\dashrightarrow Speed = \dfrac{3142.85}{10}}$

$\sf{\dashrightarrow Speed = 314.28 \: ms^{-1}}$