Home
Class 11
PHYSICS
On applying a consatnt torque, a wheel a...

On applying a consatnt torque, a wheel at rest, turns through `400` radian in `10 s`. Find angular acceleration. If same torque continues to act, what will be angular veclocity of the wheel after `20 s` from stars ?

Text Solution

Verified by Experts

Here, `omega_(1) = 0, theta = 400 rad, t = 10 s, alpha = ?`
As `theta = omega_(1)t+ (1)/(2)alpha t^(2)`
`:. 400 = 0 + (1)/(2) alpha (10)^(2) = 50 alpha`
`alpha = (400)/(50) = 8 rad//s^(2)`
Now `omega_(2) =? T = 20 s`
As `omega_(2) = omega_(1) + alpha t`
`:. omega_(2) =0 + 8 xx 20 = 160 rad//s`
Promotional Banner

Topper's Solved these Questions

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    PRADEEP|Exercise PROBLEMS FOR PRACTICE TYPE B|2 Videos
  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    PRADEEP|Exercise PROBLEMS FOR PRACTICE TYPE C|2 Videos
  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    PRADEEP|Exercise PROBLEMS FOR PRACTICE 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

On application of a constant torque, a wheel is turned from rest through an angle of 200 radius in 8 s . What is its angular acceleration ? If the same torque continues to act, what will be the angular velocity of the wheel 16 s from the start ?

On the application of a constant torque , a wheel is turned from rest through 400 radians in 10 s. The angular acceleration is :

A torque of 50 N-m acting on a wheel at rest rotates it through 200 rad in 5 sec. Its angular acceleration is -

A torque of 100 Nm acting on a wheel at rest, rotates it through 200 radians in 10 s. The angular acceleration of the wheel, in rad//s^(2) is

On the application of a constant torque, a wheel is turned from rest through an angle of 200 rad in 8s. Calculate its angular acceleration.

A wheel is turned from rest through 500 radians in 20 s by applying a constant torque. (a) Calculate the angular acceleration of wheel (b) ind the angular velocity of the wheel after 40s from start if its angular acceleration is same.

A torque of 100 N-m acting on a wheel at rest, rotates it through 200 radian in 10 s. What is the moment of inertia of the wheel?

A wheel turns through an angle of 188 rad in 8.0 s, and its angular speed at the end of the period is 40 rad/s. If the angular acceleration is constant, what was the angular speed of the wheel at the beginning of the 8.0 s interval?

A wheel is rotating with an angular velocity of 3 rad s^(-1) . If the angular acceleration is 2 rad s^(-1) then calculate its angular velocity after 5 second.

PRADEEP-SYSTEMS OF PARTICLES AND ROTATIONAL MOTION-PROBLEMS FOR PRACTICE
  1. A flywheel rotating at 420 rpm slows sown at a constant rate 2 rad s^(...

    Text Solution

    |

  2. The spin drier of a washing machine revolving at15 rps slows down to 5...

    Text Solution

    |

  3. On applying a consatnt torque, a wheel at rest, turns through 400 radi...

    Text Solution

    |

  4. A cord is wound around the circumference of a bicycle wheel (without t...

    Text Solution

    |

  5. A car is moving at a speed of 72 km//h. The diamter of its whells is 0...

    Text Solution

    |

  6. An autmobile travelling at 80 km//h has tyres of 75.0 cm diameter. Wha...

    Text Solution

    |

  7. A wheel rotating at an angular speed of 20 rad/s ils brought to rest b...

    Text Solution

    |

  8. The centre of gravity of a loaded texi is 1.5 m above the ground, and ...

    Text Solution

    |

  9. Calculate rotational K.E. of earth about its own axis, taking it to be...

    Text Solution

    |

  10. A wheel of mass 5 kg and radius 0.40 m is rolling on a road without sl...

    Text Solution

    |

  11. A thin metal hoop of radius 0.25 m and mass 2 kg stars from rest and r...

    Text Solution

    |

  12. A circular disc of mass M and radius r is set rolling on a table. If o...

    Text Solution

    |

  13. A spherical ball rolls on a table without slipping. Determine the perc...

    Text Solution

    |

  14. A solid cylinder rolls down an inclined plane. Its mass is 2 kg and ra...

    Text Solution

    |

  15. The earth has a mass of 6 xx 10^(24) kg and a radius of 6.4 xx 10^(6)m...

    Text Solution

    |

  16. A bucket of mass 8 kg is supported by a light rope wound around a soli...

    Text Solution

    |

  17. A hoop of radius 2 m weight 100 kg.It rolls along a horizontal floor s...

    Text Solution

    |

  18. If a constant torque of 500 N-m turns a wheel of moment of inertia 100...

    Text Solution

    |

  19. A ring of diameter 0.4 m and of mass 10 kg is rotating about its axis ...

    Text Solution

    |

  20. A cylinder of length 20 cm and radius 10 cm is rotating about its cent...

    Text Solution

    |