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  • Stuck here, help me understand: A long cylindrical vessel is half filled with a liquid. When the vessel is rotated about its own vertical axis, the liquid rises up near the wall. If the radius of vessel is 5 cm and its rotational speed is 2 rotations spee

 A long cylindrical vessel is half filled with a liquid. When the vessel is rotated about its own vertical axis, the liquid rises up near the wall. If the radius of vessel is 5 cm and its rotational speed is 2 rotations speed is 2 rotations per second, then the difference in the heights between the centre and the sides, in cm, will be :

 

  • Option 1)

    0.4

  • Option 2)

    2.0

  • Option 3)

    1.2

  • Option 4)

    0.1

Answers (1)

best_answer

 

Centripetal acceleration -

When a body is moving in a uniform circular motion, a force is responsible to change direction of its velocity.This force acts towards the centre of circle and is called centripetal force.Acceleration produced by this force is centripetal acceleration.

a= \frac{v^{2}}{r}

- wherein

Figure Shows Centripetal acceleration

                                                            for this h = \frac{\omega ^{2}x^{2}}{2g}

 

\omega = 2\frac{rotation }{sec} = \left ( 2\times 2\pi \right )\frac{rad}{sec}

h = \frac{\left ( 2\times 2\pi \right )^{2}\times \left ( 0.05 \right )}{2\times 10}

h \approx 2cm

 


Option 1)

0.4

Option 2)

2.0

Option 3)

1.2

Option 4)

0.1

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