A man is running with constant speed along a | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The man is running with a constant speed along a circular path. In uniform circular motion,the speed of the object remains constant at all points

Vedclass · Accepted Answer

$\frac{2 \sqrt 2 \pi}{5} \, m/s$

Vedclass · Answer

(B) The man is running with a constant speed along a circular path. In uniform circular motion,the speed of the object remains constant at all points on the path. The radius of the path is $r = 2 \sqrt 2 \, m$. The time taken to complete one round (period) is $T = 10 \, s$. The distance covered in one round is the circumference of the circle,$C = 2 \pi r$. $C = 2 \pi (2 \sqrt 2) = 4 \sqrt 2 \pi \, m$. The constant speed $v$ is given by the ratio of total distance to total time: $v = \frac{C}{T} = \frac{4 \sqrt 2 \pi}{10} = \frac{2 \sqrt 2 \pi}{5} \, m/s$. Since the speed is constant,the instantaneous speed at any time $t$,including $t = 2.5 \, s$,is the same as the average speed. Therefore,the instantaneous speed is $\frac{2 \sqrt 2 \pi}{5} \, m/s$.

$A$ man is running with constant speed along a circular path of radius $2 \sqrt 2 \, m$. He completes $1$ round in $10 \, s$. Find the instantaneous speed at $2.5 \, s$.

Similar Questions

The length of the second's hand in a watch is $1 \, cm$. The change in velocity of its tip in $15 \, seconds$ is

$A$ particle is moving along a circle such that it completes one revolution in $40 \, s$. In $2 \, \text{minutes} \, 20 \, s$, the ratio $\frac{|\text{displacement}|}{\text{distance}}$ is:

In uniform circular motion:
$(i)$ The magnitude of velocity is constant.
$(ii)$ The velocity vector is constant.
$(iii)$ The direction of velocity is constant.
Select the correct statement.

Two particles having mass $M$ and $m$ are moving in circular paths having radii $R$ and $r$. If their time periods are the same,then the ratio of their angular velocities will be:

$A$ wheel of radius $30 \ cm$ rotates about its axis and undergoes an angular displacement of $30^\circ$. The linear distance covered by the wheel is .......

Vedclass Test Series

Exam Paper Generator

Online Exam Module