Home
Class 11
PHYSICS
To maintain a rotor at a uniform angular...

To maintain a rotor at a uniform angular speed of `200 "rad s"^(-1)`, an engine needs to transmit a torque of 180 Nm. What is the power of the engine required ?

Text Solution

AI Generated Solution

To find the power of the engine required to maintain a rotor at a uniform angular speed, we can use the relationship between power, torque, and angular speed. The formula for power (P) in terms of torque (τ) and angular speed (ω) is given by: \[ P = τ \cdot ω \] Where: - \( P \) is the power in watts (W), - \( τ \) is the torque in newton-meters (Nm), - \( ω \) is the angular speed in radians per second (rad/s). ...
Promotional Banner

Topper's Solved these Questions

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    NCERT ENGLISH|Exercise EXERCISE|33 Videos
  • PHYSICAL WORLD

    NCERT ENGLISH|Exercise EXERCISE|16 Videos
  • THERMAL PROPERTIES OF MATTER

    NCERT ENGLISH|Exercise EXERCISE|22 Videos

Similar Questions

Explore conceptually related problems

To maintain a rotor at uniform angular speed of 200 "rad"//s an engine needs to transmit a torque of 180 Nm. What is the power of the engine required ?

To maintain a rotor at a uniform angular speed of 100 rads^(-1) an engine needs to transmit a torque of 200 Nm. What is the power required by engine ? Assume 100 % efficiency of engine.

Too maintain a rotor at a uniform angular speed of 100 rad s^(-1) , an engine needs to transmit torque of 100 N m. The power of the engine is a) 10 kW b) 100 kW c)10 MW d) 100 MW

A train has a constant speed of 40 ms^(-1) on a level road against resistive force of magnitude 3xx10^(4) N . Find the power of the engine.

The power of a motor is 15 HP and its maximum angular speed is 150 rad s^(-1) . What is the corresponding torque ?

A wheel of moment of inertia 2.5 kgm^(2) has an initial angular velocity of 40 rad s^(-1) . A constant torque of 10 Nm acts on the wheel. The time during which the wheel is accelerated to 60 rad s^(-1) is:

A uniform rod of mass 300 g and length 50 cm rotates at a uniform angular speed of 2 rad/s about an axis perpendicular to the rod through an end. Calculate a. the angular momentum of the rod about the axis of rotation b. the speed of the centre of the rod and c. its kinetic energy.

An electric dipole placed at an angle of 30^(@) with a uniform electric field of intensity 10^(4)N.C^(-1) experiences a torque of 9xx10^(-26)N.m . What is the moment of the electric dipole?

Calculate the instantaneous power of a body rotating with angular velocity of 20rad//s^(-1) , when an external torque of 5 Nm is applied to it. Hint : P=tau omega .

A wheel of moment of inertia 0.500 kg-m^2 and radius 20.0 cm is rotating about its axis at an angular speed of 20.0 rad/s. It picks up a stationary particle of mass 200 g at its edge. Find the new angular speed of the wheel.

NCERT ENGLISH-SYSTEMS OF PARTICLES AND ROTATIONAL MOTION-EXERCISE
  1. A child stands at the centre of a turn table with his two arms outstre...

    Text Solution

    |

  2. A rope of negligible mass is wound around a hollow cylinder of mass 3 ...

    Text Solution

    |

  3. To maintain a rotor at a uniform angular speed of 200 "rad s"^(-1), an...

    Text Solution

    |

  4. From a uniform disc of radius R, a circular section of radius R//2 is ...

    Text Solution

    |

  5. A metre stick is balanced on a knife edge at its centre. When two coin...

    Text Solution

    |

  6. A solid wooden sphere rolls down two different inclined planes of the ...

    Text Solution

    |

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

    Text Solution

    |

  8. The oxygen molecule has a mass of 5.30 xx 10^(-26) kg and a moment of ...

    Text Solution

    |

  9. A solid cylinder rolls up an inclined plane of angle of inclination 30...

    Text Solution

    |

  10. As shown in Fig. the two sides of a step ladder BA and CA are 1.6 m lo...

    Text Solution

    |

  11. A man stands on a rotating platform, with his arms stretched horizonta...

    Text Solution

    |

  12. A bullet of mass 10 g and speed 500 m//s is fired into a door and gets...

    Text Solution

    |

  13. Two discs of moments of inertia I(1) and I(2) about their respective a...

    Text Solution

    |

  14. (a) Prove the theorem of perpendicular axes. (Hint : Square of the d...

    Text Solution

    |

  15. Prove the result that the velocity v of translation of a rolling body ...

    Text Solution

    |

  16. A disc rotating about its axis with angular speed omega(0) is placed l...

    Text Solution

    |

  17. (i) Explain why friction is necessary to make the disc to roll in the ...

    Text Solution

    |

  18. A solid disc and a ring, both of radius 10 cm are placed on a horizont...

    Text Solution

    |

  19. A cylinder of mass 10 kg and radius 15 cm is rolling perfectly on a pl...

    Text Solution

    |

  20. Read each statement below carefully and state with reasons, if it is t...

    Text Solution

    |