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A particle is moving in uniform circular motion ,the acceleration at a point P(R,\theta) on the circle of radius R is (Here \theta is measured from the X-axis)

Option: 1

\frac{V^2}{R}\hat{i}+\frac{V^2}{R}\hat{j}


Option: 2

-\frac{V^2}{R}\cos\theta\hat{i}+\frac{V^2}{R}\sin\theta\hat{j}


Option: 3

-\frac{V^2}{R}\sin\theta\hat{i}+\frac{V^2}{R}\cos\theta\hat{j}


Option: 4

-\frac{V^2}{R}\cos\theta\hat{i}-\frac{V^2}{R}\sin\theta\hat{j}


Answers (1)

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as we learned 

Uniform circular motion -

If a object moves in a circular path with a  constant speed, then its motion is known as uniform circular motion.

- wherein

Fig. Shows Uniform  circular of motion

 

 

 

acceleration a:\frac{V^{2}}{R} towards the centre 

From figure:

\vec{a}=-acos\theta\hat{i}-asin\theta\hat{j}

=-\frac{V^{2}}{R}cos\theta\hat{i}-\frac{V^{2}}{R}sin\theta\hat{j}

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