Home
Class 11
PHYSICS
Find the magnitude of the centripetal ac...

Find the magnitude of the centripetal acceleration of a particle on the tip of a blade, ` 0 .30 ` metre in diameter, rotating at `1200` revolution per minute.

Text Solution

Verified by Experts

Given, Diameter =`0.30m`
`therfore" Radius",r=(0.30)/(2)=0.15m`
and Frequency, `n=1200"rev min"^(-1)`
`=(1200)/(60)=20rps`
`therefore"Angular velocity",omega=2pin=2pixx20=40pi" rad s"^(-1)`
Therefore, centripetal acceleration, `a_(c)=omega^(2)r`
`rArr" "a_(c)=0.15xx(40pi)^(2)rArra_(c)=2366.3ms^(-2)`
Promotional Banner

Topper's Solved these Questions

  • CIRCULAR MOTION

    DC PANDEY|Exercise Solved Examples|2 Videos
  • CIRCULAR MOTION

    DC PANDEY|Exercise Miscellaneous Examples|5 Videos
  • CENTRE OF MASS, LINEAR MOMENTUM AND COLLISION

    DC PANDEY|Exercise Level 2 Subjective|21 Videos
  • COMMUNICATION SYSTEM

    DC PANDEY|Exercise Only One Option is Correct|27 Videos

Similar Questions

Explore conceptually related problems

The acceleration of a point on the rim of a flywheel of diameter 1.2 m, if it makes 900 revolutions per minute, will be

A particle of mass 10 g moves along a circle of radius 6.4 cm with a constant tangential acceleration. What is the magnitude of this acceleration. What is the magnitude of this acceleration, if the kinetic energy of the particle becomes equal to 8xx10^(-4) J by the end of the second revolution after the beginning of the motion?

The wheel of a car is rotating at the rate of 1200 revolutions per minute. On pressing the accelerator for 10 seconds, it starts rotating at 4500 revolutions per minute. The angular acceleration of the wheel is

The flywheel of a steam engine runs with a constant angular velocity of 160 rev/min. When steam is shut off, the friction of the bearings and of the air stops the wheel in 2.2 h. (a) What is the constant angular acceleration, in revolutions per minute-squared, of the wheel during the slowdown? (b) How many revolutions does the wheel make before stopping? ( c) At the instant the flywheel is turning at 75 rev/min, what is the tangential component of the linear acceleration of a flywheel particle that is 50 cm from the axis of rotation? (d) What is the magnitude of the net linear acceleration of the particle in ( c) ?

A particle of mass m describes a circle of radius r with a uniform speed v. The centripetal acceleration of the pariticle is 4 / r^(2) .What is the magnitude of the linear momentum of the particle ?

The angular velocity of a particle moving in a circle of radius 50 cm is increased in 5 min from 100 revolutions per minute to 400 revolutions per minute. Find the tangential acceleration of the particle.

A particle moves along a circle of radius ((20)/(pi )) metre with constant tangential acceleration .If the velocity of the particle is 40 m/s at the end of second revolution , after the revolution has began , then the tangential acceleration .If the velocity of the particle is 40 m/s at the end of second revolution , after the revolution has began , then the tangential acceleration is

The angular velocity of a particle rotating in a circular orbit 100 times per minute is

Find the acceleration of a particle placed on the surface of the earth at the equator due to earth's rotation. The diameter of erth =12800 km andit takes 24 hour for the earth to comlete one revolution about its axis.

A particle is moving with speed v= 2t^(2) on the circumference of a circle of radius R. Match the quantities given in Table-1 with corresponding results in Table-2 {:(,"Table-1",,"Table-2"),("(A)","Magnitude to tangential acceleration of particle","(P)","decreases with time"),("(B)","Magnitude of centripetal acceleration of particle","(Q)","increases with time"),("(C)","Magnitude of angular speed of particle with respect to centre of circle","(R)","remains constant"),("(D)","Angle between the total acceleration and centripetal acceleration of partilce","(S)","depends upon the value of radius R"):}

DC PANDEY-CIRCULAR MOTION-Medical entrances s gallery
  1. Find the magnitude of the centripetal acceleration of a particle on th...

    Text Solution

    |

  2. In the given figure, a=15m//s^(2) represents the total acceleration o...

    Text Solution

    |

  3. A car is negotiating a curved road of radius R. The road is banked at ...

    Text Solution

    |

  4. A uniform circular disc of radius 50 cm at rest is free to turn about ...

    Text Solution

    |

  5. What is the minimum velocity with which a body of mass m must enter a ...

    Text Solution

    |

  6. A particle of mass 10 g moves along a circle of radius 6.4 cm with a c...

    Text Solution

    |

  7. A fighter plane is pulling out for a dive at a speed of 900 km//h. Ass...

    Text Solution

    |

  8. A particle is moving in a curved path. Which of the following quantiti...

    Text Solution

    |

  9. The ratio of angular speed of a second-had to the hour-hand of a watch...

    Text Solution

    |

  10. If the length of second's hand of a clock is 10 cm, the speed of its d...

    Text Solution

    |

  11. A particle is moving uniformly in a circular path of radius r. When it...

    Text Solution

    |

  12. A rotating wheel changes angular speed from 1800 rpm to 3000 rpm in 20...

    Text Solution

    |

  13. The expression from centripetal force depends upon mass of body, speed...

    Text Solution

    |

  14. Uniform circular motion is an example of

    Text Solution

    |

  15. A stone tied to a rope is rotated in a vertical circle with uniform sp...

    Text Solution

    |

  16. A particle moving in uniform circle makes 18 revolutions in 1 minutes....

    Text Solution

    |

  17. A car of mass 1000kg negotiates a banked curve of radius 90m on a fict...

    Text Solution

    |

  18. On a railway curve, the outside rail is laid higher than the inside on...

    Text Solution

    |

  19. One end of a string of length 1 m is tied to a body of mass 0.5 kg. It...

    Text Solution

    |

  20. A cane filled with water is revolved in a vertical circle of radius 4 ...

    Text Solution

    |