Define distance and displacement. $A$ body covers one complete revolution around a circular park of circumference $176 \, m$ in $4$ minutes. Find the displacement of the body after $6$ minutes.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) Distance: It is defined as the total path length covered by a body.
Displacement: It is defined as the shortest distance between the initial and final positions of a body.
Given that the circumference of the circular park is $176 \, m$. The body completes one revolution in $4$ minutes.
After $6$ minutes,the number of revolutions completed $= \frac{6}{4} = 1.5$ revolutions.
Since $1$ revolution brings the body back to the starting point,after $1.5$ revolutions,the body will be at a position diametrically opposite to the starting point.
Given $2 \pi r = 176 \, m$,where $r$ is the radius.
$r = \frac{176}{2 \pi} = \frac{176 \times 7}{2 \times 22} = 28 \, m$.
The displacement after $1.5$ revolutions is the diameter of the circular path.
Displacement $= 2r = 2 \times 28 = 56 \, m$.

Explore More

Similar Questions

Define 'average speed'. An object moves with a uniform speed of $10\, m s^{-1}$ for $5\, s$ and then with a uniform speed of $5\, m s^{-1}$ for $10\, s$. Find its average speed.

Name the force which is responsible for change in position or state of an object.

Out of the three speed-time graphs shown below,identify the graph for the following cases:
$(i)$ $A$ ball thrown vertically upwards and returning to the hand of the thrower.
(ii) $A$ body decelerating to a constant speed and then accelerating.

An object starting from rest travels $20 \, m$ in the first $2 \, s$ and $160 \, m$ in the next $4 \, s$. What will be the velocity after $7 \, s$ from the start (in $, m/s$)?

Difficult
View Solution

The velocity-time graph of a truck is plotted below.
$(a)$ Calculate the magnitude of displacement of the truck in $15$ seconds.
$(b)$ During which part of the journey was the truck decelerating?
$(c)$ Calculate the magnitude of average velocity of the truck.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo