Home
Class 12
PHYSICS
A particle travels from point A to B on ...

A particle travels from point A to B on a circular path of radius 15/`pi` cm.If the are length AB be 10 cm,find the displacement (figure)

Text Solution

Verified by Experts

joining the initial (A)and final (B) positions of the body,the straight line AB is obtained which is its displacement (figure)
We know,
`("circumference")/("are lengh")=(360^(@))/("Angle subtended by are at centre")`
`therefore(2pixx(15)/(pi))/(10)=(360^(@))/(20)`
`implies20theta=120^(@)impliestheta=60^(@)`
AD=OA sin `theta=(15)/(pi)sin60^(@)=(15sqrt(3))/(2pi)`
`therefore AB=2AD=(15sqrt(3))/(pi)`cm along A to B
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A STRAIGHT LINE

    AAKASH SERIES|Exercise Numerical exercise(LEVEL-1)|22 Videos
  • MOTION IN A STRAIGHT LINE

    AAKASH SERIES|Exercise Numerical exercise(LEVEL-2)|26 Videos
  • MOTION IN A STRAIGHT LINE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|58 Videos
  • MOTION IN A PLANE

    AAKASH SERIES|Exercise QUESTION FOR DESCRIPTIVE ANSWER|7 Videos
  • MOVING CHARGES AND MAGNETISM

    AAKASH SERIES|Exercise EXERCISE-III|45 Videos

Similar Questions

Explore conceptually related problems

An object completes 1/4th revolution of a circular path of radius r. Then find the ratio of distance and displacement.

A ray of light is to travel from point A to point B in figure in the shortest possible time after reflecting from P. Then OP is ………cm.

The length of a tangent to a circle from a point P is 12 cm and the radius of the circle is 5 cm , then the distance from point P to the centre of the circle is …..

The figure shows a capacitor made of two circular plates each of radius 12 cm, and separated by 5.0 cm . The capacitor is beging charged by an external source (not shown in the figure. ) The charing is constant and equal to 0.15 A Obtain the displacement current across the plates.

The length of the tangent to a circle from a point 17 cm from its centre is 8 cm . Find the radius of the circle .

PQ is a chord of length 8 cm of a circle of radius 5 cm. The tangents at P and Q intersect at a point T (see figure). Find the length of TP.

AAKASH SERIES-MOTION IN A STRAIGHT LINE -problems
  1. Find the covered by the particles,in the following figures,(i) and (ii...

    Text Solution

    |

  2. A particle travels from point A to B on a circular path of radius 15/p...

    Text Solution

    |

  3. A bus between Vijayawada and Hyderabad passed the 100 km,160-km and 22...

    Text Solution

    |

  4. The distance travelled by a particle in time t is given by s=(2.5)t^(2...

    Text Solution

    |

  5. A man walks at a speed of 6 km/hr for 1 km and 8 km/h for the next 1km...

    Text Solution

    |

  6. A motor vehicle travelled the first 1/3 of a distance s lit a speed of...

    Text Solution

    |

  7. A car covers 60 km at a uniform speed of 120 kmph and the text 60 km a...

    Text Solution

    |

  8. A motorist drives north for 35.0 minutes at 85 km/h and then stops for...

    Text Solution

    |

  9. Two cyclists,moving with equal speeds of 10 km/hr,are approaching each...

    Text Solution

    |

  10. A body moving in a curved path possesses a velocity 3 m/s towards nort...

    Text Solution

    |

  11. Velocity of a particle moving in a straight line varies with its displ...

    Text Solution

    |

  12. The radius vector of a particle varies with time t as vecr=vecbt(1-alp...

    Text Solution

    |

  13. A point moves the plane xy according to the law x=K sin wt and y=K(1-c...

    Text Solution

    |

  14. A car moving on a traight road accelerates from a speed of 4.1 m/s to ...

    Text Solution

    |

  15. A bullet moving with a speed of 150ms^-1 strikes a tree and penetrates...

    Text Solution

    |

  16. Two cars started simultaneously towards each other from towns A and B ...

    Text Solution

    |

  17. A body ,starting from rest and moving with constant acceleration,cover...

    Text Solution

    |

  18. In a car race, car A takes time t less than car B and passes the finis...

    Text Solution

    |

  19. Show that when a particle with uniform acceleration, the distances des...

    Text Solution

    |

  20. A car accelerates from rest at a constant rate alpha for sometime afte...

    Text Solution

    |