A mass of 0.1 kg is rotated in a vertical circle using a string of length 20 cm. When the string makes anangle30° with the vertical, the speed of the mass is 1.5 ms−1 . The tangential acceleration of the mass atthat instant is

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A mass of 0.1 kg is rotated in a vertical circle using a string of length 20 cm. When the string makes anangle $30 °$ with the vertical, the speed of the mass is $1.5 {ms}^{- 1}$ . The tangential acceleration of the mass atthat instant is

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2.45 {ms}^{- 2}

19.6 {ms}^{- 2}

4.9 {ms}^{- 2}

9.8 {ms}^{- 2}

answer is A.

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Detailed Solution

$a_{t} = \frac{F_{L}}{m}$

$= \frac{mg \sin θ}{m}$

$a_{t} = g \sin θ$

$= 9.8 \times \frac{1}{2}$

$a_{t} = 4.9 {ms}^{- 2}$

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