An object moves at a constant speed along a c | vedclass

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

Question

(B) The object moves in a circular path with radius $r = 2\,m$ and constant speed $v = 4\,m/s$.The magnitude of centripetal acceleration is $a_c = \fr

Vedclass · Accepted Answer

$v = 4 \hat{j}\,m/s, a = 8 \hat{i}\,m/s^2$

Vedclass · Answer

(B) The object moves in a circular path with radius $r = 2\,m$ and constant speed $v = 4\,m/s$.The magnitude of centripetal acceleration is $a_c = \frac{v^2}{r} = \frac{4^2}{2} = \frac{16}{2} = 8\,m/s^2$.At $x = +2\,m$,the velocity is $-4 \hat{j}\,m/s$,which implies the object is moving in the clockwise direction.At $x = -2\,m$,the object will be at the diametrically opposite point.Since it is moving clockwise,at $x = -2\,m$,the velocity vector will be directed upwards,so $v = 4 \hat{j}\,m/s$.The centripetal acceleration is always directed towards the centre $(0,0)$. At $x = -2\,m$,the centre is to the right,so the acceleration is directed along the positive $x$-axis,$a = 8 \hat{i}\,m/s^2$.

An object moves at a constant speed along a circular path in a horizontal plane with its centre at the origin. When the object is at $x = +2\,m$,its velocity is $-4 \hat{j}\,m/s$. The object's velocity $(v)$ and acceleration $(a)$ at $x = -2\,m$ will be

Similar Questions

If a cycle wheel of radius $4 \, m$ completes one revolution in two seconds,then the acceleration of a point on the rim of the cycle wheel will be:

$A$ 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 $2.5 \, s$.

$A$ cycle wheel of radius $0.4\ m$ completes one revolution in one second. Then,the acceleration of a point on the rim of the cycle wheel will be:

Define angular speed and angular velocity.

Two particles $A$ and $B$ are moving in uniform circular motion in concentric circles of radii $r_{A}$ and $r_{B}$ with speeds $v_A$ and $v_B$ respectively. The time period of rotation is the same. The ratio of angular speed of $A$ to that of $B$ will be

Vedclass Test Series

Exam Paper Generator

Online Exam Module