Home
Class 11
PHYSICS
A griding stone in the form of a solid ...

A griding stone in the form of a solid cylinder has a radius of 0.5 m and a mass 50 kg . Find
What torque will bring it from rest to an angular velocity of 300 rev/min in 10 s ?
(b) What is the kinetic energy when it is rotating at 300 rev/min ?

Text Solution

AI Generated Solution

To solve the problem step by step, we will break it down into two parts: (a) calculating the torque required to bring the grinding stone from rest to an angular velocity of 300 revolutions per minute (rev/min) in 10 seconds, and (b) calculating the kinetic energy when it is rotating at that angular velocity. ### Part (a): Finding the Torque 1. **Convert Angular Velocity from rev/min to rad/s**: - The final angular velocity \( \omega_f \) is given as 300 rev/min. - To convert this to radians per second: \[ ...
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise EVALUATE YOURSELF - 1|9 Videos
  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise EVALUATE YOURSELF - 4|11 Videos
  • SYSTEM OF PARTICLES

    NARAYNA|Exercise Level-VI|78 Videos
  • THERMAL PROPERTIES OF MATTER

    NARAYNA|Exercise LEVEL - II (H.W.)|19 Videos

Similar Questions

Explore conceptually related problems

A grind-stone is in the form of a solid cylinder has a radius of 0.5 m and a mass 50 kg. What torque will bring it from rest to an angular velocity of 300 rev/min in 10 s ? What is the kinetic energy when it is rotating at 300 rev/min ?

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.

A solid cylinder of radius 0.5 m and mass 50 kg is rotating at 300 rpm. Then the torque which will bring it to rest in 5 seconds is

A car of mass 1200 kg starts from rest and acquires a uniform velocity of 18 m/s. What is the kinetic energy of the car ?

A disc of mass 16 kg and radius 25 cm is rotated about its axis. What torque will increase its angular velocity from 0 to 8 pi rad/s in 8 s ?

If a disc starting from rest acquires an angular velocity of 240 "rev min"^(-1) in 10 s, then its angularw acceleration will be

The diameter of a solid disc is 0.5 m and its mass is 16 kg. What torque will increase its angular velocity from zero to 120 ratations/minute in 8 seconds.

A disc of mass 4.8 kg and radius 1 m is rolling on a horizontal surface without sliding with angular velocity of 600 rotations/min. What is the total kinetic energy of the disc ?

A ring of radius 0.5 m and mass 10 kg is rotating about its diameter with angular velocity of 20 rad/s. Its KE is :-

NARAYNA-SYSTEM OF PARTICLES AND ROTATIONAL MOTION -EXERCISE - IV
  1. A griding stone in the form of a solid cylinder has a radius of 0.5...

    Text Solution

    |

  2. For which of the following does the centre of mass lie outside the bod...

    Text Solution

    |

  3. Which of the following points is the likely position of the cent...

    Text Solution

    |

  4. A particle of mass m is moving in yz - plane with a uniform veloci...

    Text Solution

    |

  5. When a disc rotates with uniform angular velocity, which of the follow...

    Text Solution

    |

  6. A uniform square palte has a small piece Q of an irregular shape...

    Text Solution

    |

  7. In the above problem , the CM of the plate is now in the followin...

    Text Solution

    |

  8. The density of a non-uniform rod of length 1m is given by rho (x) = a ...

    Text Solution

    |

  9. A Merry -go-round, made of a ring-like plarfrom of radius R and mass M...

    Text Solution

    |

  10. Choose the correct alternative :

    Text Solution

    |

  11. Figure shows two identical particles 1 and 2 , each of mass m ...

    Text Solution

    |

  12. The net external torque on a system of particles about an axis is zero...

    Text Solution

    |

  13. A uniform cube of mass m and side a is placed on a frictionless ...

    Text Solution

    |

  14. A uniform uniform sphere of mass m and radius R is placed on a ro...

    Text Solution

    |

  15. A T shaped object with dimesions shown in the figure , is lying a...

    Text Solution

    |

  16. A circular ring of mass 6kg and radius a is placed such that its cente...

    Text Solution

    |

  17. In the figure d shown a hole of radius 2 cm is made in a semicir...

    Text Solution

    |

  18. The figure shows the positions and velocities of two particles . ...

    Text Solution

    |

  19. A rod of length 3m and its mass par unit length is directly propo...

    Text Solution

    |

  20. A wheel is rotating about an axis through its centre at 720 rp...

    Text Solution

    |

  21. A particle of mass m describes a circle of radius r . The centripetal ...

    Text Solution

    |