Home
Class 11
PHYSICS
A flywheel rotating at a speed of 600 r...

A flywheel rotating at a speed of `600` rpm about its axis is brough to rest by applying a constant torque for `10` seconds. Find the angular deceleration and angular velocity `5` second after the application of the torque.

Text Solution

Verified by Experts

Here, `n_(1) = 600 "rpm" = (600)/(60) rps`
`= 10 rps`
`n_(2) = 0, t = 10 seconds, alpha = ?`
`alpha = (omega_(2) - omega_(1))/(t) = (2pi(n_(2) - n_(1)))/(t)`
`alpha = (2pi (0 - 10))/(10) = - 2pi rad//s^(2)`
`:.` angular decelartion `= 2 pi rad//s^(2)`
Angain, `omega_(2) = omega_(1) + alpha t :. omega_(2) = 2 pi n_(1) + alpha t`
`omega_(2) = 2 pi xx 10 - 2pi xx 5 = 10 rad//s`
Promotional Banner

Topper's Solved these Questions

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    PRADEEP|Exercise SOLVED EXAMPLES TYPE B|2 Videos
  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    PRADEEP|Exercise SOLVED EXAMPLES TYPE C|2 Videos
  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    PRADEEP|Exercise SOLVED EXAMPLES TYPE A|2 Videos
  • RAY OPTICS

    PRADEEP|Exercise Problem For Practice(a)|25 Videos
  • THERMODYNAMICS

    PRADEEP|Exercise Assertion- Reason Type Questions|19 Videos

Similar Questions

Explore conceptually related problems

A wheel rotating ast a speed of 600 rpm (revolutions per minute) about its axis ils brought to rest by applying a constant torque for 10 seconds. Find the angular deceleration and the anglular velocilty 5 seconds after the application of the torque.

A wheel rotating at a speed of 120 rpm about its axis is brought to rest by applying a constant torque for 4 s . Find the number of revolutions completed by the wheel before stop.

A wheel rotating at an angular speed of 20 rad/s ils brought to rest by a constant trouque in 4.0 secons. If the moiment of inertia of the wheel about the axis of rotation is 0.20 kg-m^2 find the work done by the torque in the first two seconds.

A wheel rotating with uniform acceleration covers 50 rev in the first five second after the start. Find the angular acceleration and the angular velocity at the end of five second.

A flywheel rotates at a constant speed of 3000 r.p.m. The angle described by the shaft in one second is

A flywheel of mass 8 kg and radius 10 cm rotating with a uniform angular speed of 5 rad / sec about its axis of rotation, is subjected to an accelerating torque of 0.01 Nm for 10 seconds. Calculate the change in its angular momentum and change in its kinetic energy.

A body starting from rest gains an angular speed of 540 r.p.m in 6 second. The angular acceleration of the body is

A torque of 5Nm is applied on a particle for 2 seconds, calculate the change in its angular momentum.

PRADEEP-SYSTEMS OF PARTICLES AND ROTATIONAL MOTION-SOLVED EXAMPLES
  1. A car of mass 2500 kg is moving in a circular track of diameter 100m w...

    Text Solution

    |

  2. The radius of a wheel of car is 0.4m. The car is accelerated from rest...

    Text Solution

    |

  3. A flywheel rotating at a speed of 600 rpm about its axis is brough to...

    Text Solution

    |

  4. Obtain the equation omega = omega(0) alpha t from first principles.

    Text Solution

    |

  5. A flywheel of mass 1 metric ton and radius 1 m is rotating at the rate...

    Text Solution

    |

  6. A dics rotates about the central axis starting from rest and accelerat...

    Text Solution

    |

  7. A disc of radius 0.5 m is rotating about an axis passing through its c...

    Text Solution

    |

  8. A moton car is travelling at 30 m//s on a circular road of radius 500m...

    Text Solution

    |

  9. An energy of 484 J is spent in increasing the speed of a flywheel from...

    Text Solution

    |

  10. A soild sphere is rolling on a frictionless plane surface about the ax...

    Text Solution

    |

  11. The moment of inertia of a body about a given axis is 1.2 kg m^(2). In...

    Text Solution

    |

  12. A thin hollow cylinder open at both ends and weight 5 kg (i) slides wi...

    Text Solution

    |

  13. A spherical ball of radius r and mass m is rolling without slipping on...

    Text Solution

    |

  14. A disc of radius 0.5 m is rotating about an axis passing through its c...

    Text Solution

    |

  15. A flywheel of mass 25 kg has a radius of 0.2 m. It is making 240 rpm. ...

    Text Solution

    |

  16. Show that the angular momentum about any point of a single particle mo...

    Text Solution

    |

  17. Show that moment of a couples does not depend on the point about which...

    Text Solution

    |

  18. A metal bar 70 cm long and 4.00 kg in mass is supported on two knife e...

    Text Solution

    |

  19. A car moves on a road with a speed of 54 km h^(-1). The radius of its...

    Text Solution

    |

  20. A grindstone has moment of inertia of 6 kg m^(2). A constant torque is...

    Text Solution

    |