A car is moving with speed $30 m s^{- 1}$ on a circular path of radius $500$ m. Its speed is increasing at a rate of $2 m s^{- 2}$ , what is the acceleration of the car?

2 m s^{- 2}

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2.7 m s^{- 2}

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1.82 m s^{- 2}

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9.82 m s^{- 2}

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Solution

The correct option is B $2.7 m s^{- 2}$
Net acceleration in non-uniform circular motion, $a = \sqrt{a_{t}^{2} + a_{c}^{2}}$
$= \sqrt{(2)^{2} + {[\frac{900}{500}]}^{2}} = 2.7 m s^{- 2}$ .

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A car is moving with speed 30ms−1 on a circular path of radius 500m. Its speed is increasing at a rate of 2ms−2, what is the acceleration of the car?

The correct option is B 2.7ms−2Net acceleration in non-uniform circular motion, a=√a2t+a2c=√(2)2+[900500]2=2.7ms−2.

A car is moving with speed $30 m s^{- 1}$ on a circular path of radius $500$ m. Its speed is increasing at a rate of $2 m s^{- 2}$ , what is the acceleration of the car?

The correct option is B $2.7 m s^{- 2}$
Net acceleration in non-uniform circular motion, $a = \sqrt{a_{t}^{2} + a_{c}^{2}}$
$= \sqrt{(2)^{2} + {[\frac{900}{500}]}^{2}} = 2.7 m s^{- 2}$ .