Home
Class 11
PHYSICS
A torque of 10^(3) N-m acting on a rigid...

A torque of `10^(3) N-m` acting on a rigid body, turns it throughr `30^(@)` in `0.2` second. Calculate work done by the body and power of torque.

Text Solution

Verified by Experts

Here, `tau = 10^(3) N-m`
`theta = 30^(@) = (pi)/(6) radian, t = 0.2 s`.
`W = tau theta = 10^(3) xx (tau)/(6) = (22)/(7 xx 6) xx 10^(3)J`
`= 5.23 xx 10^(2)J`
`p = tau omega = (W)/(t) = (5.23 xx 10^(2))/(0.2) = 2.615 xx 10^(3) watt`
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 force of 10N is acting on a block of 20kg on horizontal surface with coefficient of friction mu=0.2 . Calculate the work done by the force.

A body acted upon by a force of 50N is displaced through a distance of 10m in a direction making an angle of 60^(@) with the force. Calculate the work done by the force.

(a) What happens to the work done when the displacement of a body is at right angles to the direction of force acting on it ? Explain your answer. (b) A force of 50 N acts on a body and moves it a distance of 4 m on a horizontal surface. Calculate the work done if the direction of force is at an angle of 60^(@) to the horizontal surface.

A force of 20 N acts on a body and the body moves through 1 m at an angle of 45^(@) in the direction of the force. The work done by the force is

If a torque of magnitude 100 Nm acting on a rigid body produces an angular acceleration of 2 rad//s^(2) , then the moment of inertia of that body will be

The variation of force acting on a body with the displacement of body is shown in figure. Calculate work done by the force in the interval (i) 0le x lem (ii) 2m le x le 4m

Consider a variable force F=(3x+5)N acting on a body and if it is displaced from x=2m to x=4m , calculate the work done by this force.

A grindstone in the form of a solid cylinder has a radius of 0.2m and a mass of 30 kg. (a)What constant torque will bring it from rest to an angular velocity of 250 rev // min in 10 s ? (b) Through what angle has it turned during that time ? (c) Calculate the work done by the torque.

PRADEEP-SYSTEMS OF PARTICLES AND ROTATIONAL MOTION-SOLVED EXAMPLES
  1. A uniform thin rod of length 3 L is bent at right angles at a distance...

    Text Solution

    |

  2. A man of mass m(1) is standing on a platform of mass m(2) kept on a sm...

    Text Solution

    |

  3. A torque of 10^(3) N-m acting on a rigid body, turns it throughr 30^(@...

    Text Solution

    |

  4. A constant torque is acting on a wheel. If starting from rest, the whe...

    Text Solution

    |

  5. A torque of 20 N-m is applied on a wheel initially at rest. Calculate ...

    Text Solution

    |

  6. Show that angular momentum of a satellite of mass M(s) revolving aroun...

    Text Solution

    |

  7. Calculate angular momentum to Neptune about the sun. Given, mass of ne...

    Text Solution

    |

  8. At any instant,overset rarr(F) = (4.0 hatj)N acts on a 0.25kg object t...

    Text Solution

    |

  9. A small particle of mass m is projected at an angle theta with x-axis ...

    Text Solution

    |

  10. A car of mass 2500 kg is moving in a circular track of diameter 100m w...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |