Question

A car is moving along the circumference of a circle of radius r. a)what is the distance travelled in one revolution?

Answer 1

HEYA!!
distance travelled by the car is 2(3.14) r ...
but displacement is zero...
hope it helps u...

Answer 2

The distance traveled by car in one revolution is $2\pi r$.

Given,

A car is moving along the circumference of a circle of radius r.

To find,

Distance traveled in 1 revolution.

Solution,

For any circle, we know that the relation between the arc length (say l), radius (r), and the angle made by the arc (θ) at the center, is given as

$\theta = \frac{l}{r} \hfill ...(1)$

We can see that the arc length is also the same as the distance covered by any object moving along the circumference.

Now, as the car moves along the circumference of a circle with radius r, and it completes one revolution, the angle turned about the center will be 360° or $2 \pi.$

So, here, we can see,

radius = r,

angle turned = θ = $2\pi$

Substituting the above values in (1), we get,

$2\pi = \frac{l \hspace{3} (distance \hspace{3} traveled)}{r}$

On rearranging, we get,

${l \hspace{3} (distance \hspace{3} traveled) = 2\pi r$

⇒ the distance traveled by car = 2πr.

Therefore, the distance traveled by car in one revolution is $2\pi r$.

#SPJ2