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

(A) The object moves in a circular path with the center at the origin $(0,0)$.Given that at $x = -2 \, m$,the velocity is $\vec{v} = -(4 \, m/s) \hat{

Vedclass · Accepted Answer

$-(8 \, m/s^2) \hat{j}$

Vedclass · Answer

(A) The object moves in a circular path with the center at the origin $(0,0)$.Given that at $x = -2 \, m$,the velocity is $\vec{v} = -(4 \, m/s) \hat{j}$.Since the velocity is tangent to the circular path,at $x = -2 \, m$ (which is on the negative $X$-axis),the velocity vector points in the negative $Y$-direction. This implies the object is moving clockwise.The radius of the circle is $R = 2 \, m$.The speed of the object is $v = 4 \, m/s$.For uniform circular motion,the acceleration is centripetal,directed towards the center.When the object is at $y = 2 \, m$ (which is on the positive $Y$-axis),the center is at $(0,0)$,so the acceleration vector must point towards the origin,i.e.,in the negative $Y$-direction.The magnitude of centripetal acceleration is $a_c = \frac{v^2}{R} = \frac{(4)^2}{2} = \frac{16}{2} = 8 \, m/s^2$.Therefore,the acceleration vector at $y = 2 \, m$ is $\vec{a} = -(8 \, m/s^2) \hat{j}$.

An object moves at a constant speed along a circular path in the horizontal $XY$ plane with the center at the origin. When the object is at $x = -2 \, m$,its velocity is $-(4 \, m/s) \hat{j}$. What is the object's acceleration when it is at $y = 2 \, m$?

Similar Questions

An object moving in a circular path at constant speed has constant

Angular speed of the hour hand of a clock in degrees per second is:

$A$ motorcyclist going round in a circular track at a constant speed has:

$A$ body is moving with a uniform speed of $20 \,m/s$ on a horizontal circle. The change in velocity of the body in half a revolution is

$A$ body is revolving with a uniform speed '$v$' in a circle of radius '$r$'. The tangential acceleration is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module