Question

A body completes half a revolution on a circular path of radius 7cm. What will be the distance and displacement of the body

Answer 1

22 cm is the distance and 14 cm is the displacement of the body whose radius is 7 cm.

Given:

Radius = 7 cm

To find :

Distance = ?

Displacement = ?

Solution:

Radius of the body given in the question (r)  = 7

$\begin{aligned} \text { Distance } &=\frac{1}{2} \times \text { circumference } \\ &=\frac{1}{2} \times 2 \pi r \\ &=\pi \mathrm{r} \end{aligned}$

$\begin{aligned} \text { Distance } &=\frac{22}{7} \times 7 \\ &=22 \mathrm{cm} \end{aligned}$

Displacement = Diameter of the circular path = 2r

$=2 \times 7= 14 cm$

During motion the total travel of the object from one place to another place is called "Distance. The quantity referred to the distance is scalar.

The object changes the overall position it is termed as "Displacement". The quantity used for displacement is vector.

When a body completes half a revolution, The total distance traveled will be equal to the half of the circle circumference.

The distance is 22 cm and displacement is 14 cm.

Answer 2

Answer:

The distance and displacement of the body will be 22 cm and 14 cm respectively.

Explanation:

Given: r = 7 cm

Half a revolution is equal to half the circumference of the circle. Distance is the length of the total path traveled from one point to another.

Thus, “distance = half the circumference” =  r = (22/7) x 7 = 22 cm.

Displacement is known as the shortest distance from one point to another = diameter of the circle =- 2r = 2 x 7 = 14 cm.