Home
Class 11
PHYSICS
A student sits on a stool that is free t...

A student sits on a stool that is free to rotate about a vertical axis. He holds out his arms horizontally, with a 4-kg weight in each hand. The stool is set in rotation with angular speed of 0.5 revolution per second. Calcualate the angular speed of the student is 90 cm and his rotational inertia is 7kg `m^(2)`.
[Hint: Use conservation principle]

Text Solution

Verified by Experts

The correct Answer is:
0.96 rev/sec.
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL DYNAMICS, MOMENT OF INERTIA

    NN GHOSH|Exercise Exercises|42 Videos
  • MOMENT, TORQUE, EQUILIBRIUM OF BODIES

    NN GHOSH|Exercise Exercises|33 Videos
  • SATURATED AND UNSATURATED VAPOUR

    NN GHOSH|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

A fan of moment of inertia 0.6 kg xx "metre"^2 is to run upto a working speed of 0.5 revolution per second. Indicate the correct value of the angular momentum of the fan

A man stands at the centre of a circular table with his two hands outstretched. The table is set into rotation with an angular speed of 40 rev/min. What is the angular speed when the man folds his hands back and thereby reduces his moment of inertia 2/5 times the initial value? Assume that the table rotates without friction.

A uniform rod of length 1m and mass 0.5 kg rotates at angular speed of 6 rad//sec about one of its ends. What is the KE (in joule) of the rod ?

Figure shows a student, sitting on a stool that can rotate freely about a vertical axis. The student, initially at rest, is holding a bicycle wheel whose rim is loaded with lead and whose moment of inertia is I about its central axis. The wheel is rotating at an angular speed omega_i from an overead perspective, the rotation is counter clockwise. The axis of the wheel point vertical, and the angular momentum vecL_i of the wheel points vertically upward. The student now inverts the wheel, as a result, the student and stool rotate about the stool axis. With what angular speed and direction does the student then rotate? (The moment of inertia of the student+stool+wheel system about the stool axis is I_0 )

(i) A child stands at the centre of turntable with his two arms out stretched. The turntable is set rotating with an angular speed of 40 rpm. How much is the angular speed of the child if he folds his hands back and thereby reduces his moment of inertia to (2)/(3) times the initial value ? Assume that the turntable rotates without friction (ii) Show that the child's new kinetic energy of rotation is more than the initial kinetic energy of rotation. How do you account for this increase in kinetic energy ?

A dancer is standing on a stool rotating about the vertical axis passing through its centre. She pulls her arms towards the body reducing her moment of inertia by a factor of n. The new angular speed of turn table is proportional to

A wheel of mass 2 kg and radius 20 cm initially at rest is free to rotate about its axis. It receives an angular impulse of 4kgm^(2)s^(-1) initially and similar impulse after every 5 s of initial one. Calculate the angular speed of the wheel 22 s after the initial impulse.

A student sits on a freely rotating stool holding dumbbells, each of mass 5.0 kg (Fig). When his arms are extended horizontally (Fig a), the dumbbells are 1.0 m from the axis of rotation and the student rotate with an angular speed of 1.0 rad//s . The moment of inertia of the student plus stool is 5.0 kg.m^2 and is assumed to be constant. The student pulls the dumbbells inward horizontally to a position 0.50 m from the rotationa are (Fig.) The new angular speed of the student is. .

NN GHOSH-ROTATIONAL DYNAMICS, MOMENT OF INERTIA-Exercises
  1. A hoop of radius 3m weighs 150 kg. It rolls along a horizontal floor s...

    Text Solution

    |

  2. A sphere rolls up an inclined plane whose inclination is 30^(@). At th...

    Text Solution

    |

  3. A student sits on a stool that is free to rotate about a vertical axis...

    Text Solution

    |

  4. A solid sphere of 1kg reaches the bottom of an inclined plane after ro...

    Text Solution

    |

  5. A thin uniform rod of mass m and length l, pivoted freely at its base,...

    Text Solution

    |

  6. What must be the relation between length and radius of a cylinder of g...

    Text Solution

    |

  7. A circular disc is of mass M and radius r. From it a circualr piece is...

    Text Solution

    |

  8. A string is wrapped around a cylinder of mass M and radius r. The stri...

    Text Solution

    |

  9. A small sphere of mass m and radius r rolls without slipping on the in...

    Text Solution

    |

  10. A billiard ball is struck by a cue when it starts moving with velocity...

    Text Solution

    |

  11. a) Explain why the cushion of a billard table is made to receive the i...

    Text Solution

    |

  12. A right circular cylinder of radius r and mass m is suspended by a cor...

    Text Solution

    |

  13. The mass of the earth is increasing at the rate 1 part in 5 xx 20^(19)...

    Text Solution

    |

  14. A meter stick of length l and mass M lies on a frictionlesss table. Th...

    Text Solution

    |

  15. A long light thread is wond partly around cylinder of radius r and mas...

    Text Solution

    |

  16. A tim,ber of mas m rests on two rollers, each of mass m/2 and radius r...

    Text Solution

    |

  17. Show that in order to get a billiard ball to roll without sliding from...

    Text Solution

    |

  18. Two masses 500 g and 460g are suspended from the ends of a light strin...

    Text Solution

    |

  19. A solid cylinder of weight 20 kg and radius 7.5 cm is placed on a incl...

    Text Solution

    |

  20. A point A is located on the rim of a wheel of radius R which rolls wit...

    Text Solution

    |