Velocity and acceleration vectors of a particle undergoing circular motion are overrightarrow{ v }=2

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3-2.Motion in Plane

medium

The velocity and acceleration vectors of a particle undergoing circular motion are $\overrightarrow{ v }=2 \hat{ i } m / s$ and $\overrightarrow{ a }=2 \hat{ i }+4 \hat{ j } m / s ^2$ respectively at an instant of time. The radius of the circle is $........\,m$

A$1$

B$2$

C$3$

D$4$

Solution

(a)
It can be observed that component of acceleration perpendicular to velocity is a $=4 m / s ^2$
$\therefore \text { radius }=\frac{ v ^2}{ a _{ c }}=\frac{(2)^2}{4}=1 \text { metre }$

Standard 11

Physics

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(JEE MAIN-2024)

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The velocity and acceleration vectors of a particle undergoing circular motion are $\overrightarrow{ v }=2 \hat{ i } m / s$ and $\overrightarrow{ a }=2 \hat{ i }+4 \hat{ j } m / s ^2$ respectively at an instant of time. The radius of the circle is $........\,m$

Solution

Similar Questions

Shown here are the velocities and acceleration vectors for a man in several different types of motion. In which case is the man slowing down and turning to the right

A body is moving on a circle of radius $80 \,m$ with a speed $20 \,m / s$ which is decreasing at the rate $5 \,m / s ^2$ at an instant. The angle made by its acceleration with its velocity is ……….

An object is moving on a circular track of radius $450\, m$. At some instant, the object is moving at $30\, m/s$ and gaining speed at a uniform rate of $2 m/s^2$. Its acceleration at this instant is nearly ………. $m/s^2$

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