Two cars of masses m_1 and m_2 are moving in | vedclass

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

Question

(D) The centripetal acceleration $a_c$ of an object moving in a circle is given by $a_c = \omega^2 r$,where $\omega$ is the angular velocity and $r$ i

Vedclass · Accepted Answer

$r_1 : r_2$

Vedclass · Answer

(D) The centripetal acceleration $a_c$ of an object moving in a circle is given by $a_c = \omega^2 r$,where $\omega$ is the angular velocity and $r$ is the radius of the circle.Since both cars complete their circles in the same time $t$,their angular velocities are equal,given by $\omega = \frac{2\pi}{t}$.Let $a_1$ and $a_2$ be the centripetal accelerations of the two cars respectively.Then,$a_1 = \omega^2 r_1$ and $a_2 = \omega^2 r_2$.The ratio of their centripetal acceleration is $\frac{a_1}{a_2} = \frac{\omega^2 r_1}{\omega^2 r_2} = \frac{r_1}{r_2}$.Thus,the ratio is $r_1 : r_2$.

Two cars of masses $m_1$ and $m_2$ are moving in circles of radii $r_1$ and $r_2$,respectively. Their speeds are such that they make complete circles in the same time $t$. The ratio of their centripetal acceleration is

Similar Questions

$A$ particle is moving in a circle with uniform speed. Its motion is

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

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

The displacement of a body when it covers a distance of $C / 4$ (where,$C$ is circumference) along the circumference of a circle of radius $r$ with a uniform speed $u$ is

$A$ body is whirled in a horizontal circle of radius $20 \,cm$. It has an angular velocity of $10 \,rad/s$. What is its linear velocity at any point on the circular path in $m/s$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module