Home
Class 11
MATHS
A rail road curve is to be laid out on a...

A rail road curve is to be laid out on a circle. What radius should be used if the track is to change direction by 25`degree` in a distance of `40m e t r e s` ?

Text Solution

Verified by Experts

We know, length of the arc ` = r*theta`
Here, `theta` is in radians.
`:. 40 = r*25(pi/180)`
`=> r = (40*180)/(25pi) = 288/pi = 91.6m`
So, the required radius is `91.6m.`
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    RD SHARMA|Exercise Solved Examples And Exercises|181 Videos
  • PARABOLA

    RD SHARMA|Exercise Solved Examples And Exercises|81 Videos

Similar Questions

Explore conceptually related problems

A railroad curve is to be laid on a circle. What radius (approximate) should be used if the track is to change direction by 25^(@) in a distance of 120 m?

A road curve is to be laid out on a circle. What radius should be used if the track is to change direction by 42^@ in distance of 44 m ? (Assume it pi=22/7 )

A car is moving along a banked road laid out as a circle of radius r . (a) What should be the banking angle theta so that the car travelling at speed v needs no frictional force from tyres to negotiate the turn ? (b) The coefficient of friction between tyres and road are mu_(s) = 0.9 and mu_(k) = 0.8 . At what maximum speed can a car enter the curve without sliding toward the top edge of the banked turn ?

A train of mass 10^(5) kg rounds a curve of radius 100m at a speed of 20 m/s . If the track is not , then the thrust on the outer rail of the track is

A train has to negotiate a curve of radius 400 m .The speed of the train is 72 km//h. If the distance between the two rails is 1 m ,then the outer rail will be raised over the inner rail by (g=10m//s^(2))

A uniform circular plate of radius 2R has a circular hole of radius R cut out of it. The centre of the smaller circle is at a distance of R/3 from the centre of the larger circle. What is the position of the centre of mass of the plate?

A block of mass 1 kg slides down a vertical curved track that is one quadrant of a circle of radius 1m. Its speed ast the the bottom si 2 m//s . The work done by frictional force is :

A train has to negotiate a curve of radius 400m. The speed of the train is 72 km//hour . The horizontal distance is to be raised with respect to the inner radius by h. IF distances between rail is l=1 m, the value of h will be (g=10 m//s^2 )

A train has to negotiate a curve of radius 2000 m. By how much should the outer rail be raised with respect to inner rail for a speed of 72"km h^(-1) . The distance between the rails is 1 m.

RD SHARMA-MEASUREMENT OF ANGLES-Solved Examples And Exercises
  1. For each natural number k, let Ck denotes the circle radius k centimet...

    Text Solution

    |

  2. Find the angle between the minute hand and the hour hand of a clock at...

    Text Solution

    |

  3. A rail road curve is to be laid out on a circle. What radius should be...

    Text Solution

    |

  4. Find the magnitude, in radians and degrees, of the interior angle of a...

    Text Solution

    |

  5. If D ,Ga n dR denote respectively the number of degrees, grades and ra...

    Text Solution

    |

  6. The moons distance from the earth is 360 , 000k m s and its diameter s...

    Text Solution

    |

  7. If the angular diameter of the moon be 30, how far from the eye a coin...

    Text Solution

    |

  8. Find the length of an arc of a circle of radius 5 cm subtending a ce...

    Text Solution

    |

  9. The angles of a triangle are in A.P. The number of grades in the least...

    Text Solution

    |

  10. Express the angular measurement of the angle of a regular decagon in ...

    Text Solution

    |

  11. A horse is tied to a post by a rope. If the horse moves along a circul...

    Text Solution

    |

  12. Assuming that a person of normal sight can read print to such distance...

    Text Solution

    |

  13. The perimeter of a certain sector of a circle is equal to the length o...

    Text Solution

    |

  14. The minute hand of watch is 1.5 cm long. How far does its tip move in ...

    Text Solution

    |

  15. Find the degrees and radians the angle between the hour hand and the ...

    Text Solution

    |

  16. Find the degree measure corresponding to the radian measure (9pi)/5 (...

    Text Solution

    |

  17. Find the degree measure corresponding to the radian measure -(5pi)/6

    Text Solution

    |

  18. Find the degree measure corresponding to the following radian measure ...

    Text Solution

    |

  19. Find the degree measure corresponding to the following radian measure ...

    Text Solution

    |

  20. Find the degree measure corresponding to the following radian measure ...

    Text Solution

    |