Home
Class 11
PHYSICS
What is the linear velocity of a person ...

What is the linear velocity of a person at equator of the earth due to its spinning motion? (Radius of the earth `=6400km`)

Text Solution

Verified by Experts

The earth completes one rotation is `24 hour`. Its angular velocity.
`omega=(2piN)/t=(2pixx1)/(24xx60xx60)=pi/(43,200)rad s^(-1)`
The linear velocity,
`v=Romega=6.4xx10^(6)xxpi/(43,000)=465.5m//s`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A PLANE

    NARAYNA|Exercise C.U.Q|36 Videos
  • MOTION IN A PLANE

    NARAYNA|Exercise Level-I(C.W)|43 Videos
  • MECHANICAL PROPERTIES OF SOLIDS

    NARAYNA|Exercise LEVEL-II (H.W)|24 Videos
  • MOTION IN A STRAIGHT LINE

    NARAYNA|Exercise Level 2 H.W|29 Videos

Similar Questions

Explore conceptually related problems

What is the linear velocity of a body on the surface of the earth at the equator ? Given the radius of the earth is 6400 km . Period of rotation of the earth = 24 hours.

The linear speed of a particle at the equator of the earth due to its spin motion is V . What is its linear speed latitude 60^(@) ?

Calculate the ratio of the angular momentum of the earth about its axis due to its spinning motion to that about the sun due to its orbital motion. Radius of the earth =6400 km and radius of the orbit of the earth about the sun =1.5xx10^8km.

Find the value of angular velocity of axial rotation of the earth, such that weight of a person at equator becomes 3/4 of its weight at pole, Radius of the earth at equator is 6400 km.

The artificial satellite Aryabhatta was reported to revolve round the earth in 96.2 minutes at an average height of 600 km. With what velocity was it projected ? What was the acceleration due to gravity on the satellite ? (Radius of the earth = 6400 km)

Find out the capacitance of the earth ? (Radius of the earth = 6400 km)

Calculate the centripetal acceleation of a point on the equator of earth due to the rotatin of earth about its wn axis . Radius of earth = 6400 km .

Two satellites of one metric ton and twelve metric tons masses are revolving around the Earth. The heights of these two satellites from the Earth are 1600 km and 25600 km, respectively. What is the ratio of their time periods and what is the ratio of the accelerations due to gravity at those heights? (Radius of the Earth = 6400km)

An antenna is of height 500 m . What will be its range in km? (Radius of the earth is. 6400 km )

In order to make the effective acceleration due to gravity at the equator to zero, the numerical value of the angular velocity of rotation of the earth should be [Radius of the earth=6400 km, g=10m/s^(2) ]

NARAYNA-MOTION IN A PLANE-Level-II(H.W)
  1. What is the linear velocity of a person at equator of the earth due to...

    Text Solution

    |

  2. The greatest and least resultant of two forces are 7N and 3N respectiv...

    Text Solution

    |

  3. In an equilateral triangle ABC, AL, BM, and CN are medians. Forces alo...

    Text Solution

    |

  4. Given that vecA+vecB+vecC=0, out of three vectors two are equal in mag...

    Text Solution

    |

  5. A and B are two pegs separated by 13 cm.A body of 169 kgwt is suspende...

    Text Solution

    |

  6. Two particles having position vectors vecr(1)=(3veci+5 vecj)m and vec...

    Text Solution

    |

  7. A body is projected up such that its position vector varies with time ...

    Text Solution

    |

  8. The position of a particle is given by vecr=3tveci-2t^(2)hatj+4hatk m ...

    Text Solution

    |

  9. A particle starts from origin at t=0 with a constant velocity 5hati m/...

    Text Solution

    |

  10. When two bodies approach each other with the different speeds, the dis...

    Text Solution

    |

  11. An aeroplane is flying with the velocity of V(1)=800kmph relative to t...

    Text Solution

    |

  12. A boat takes 4 hr upstream and 2 hr down the stream for covering the s...

    Text Solution

    |

  13. The width of a river is 2sqrt3km.A boat is rowed in direction perpendi...

    Text Solution

    |

  14. Person aiming to reach the exactly opposite point on the bank of a str...

    Text Solution

    |

  15. A particle projected from the level ground just clears in its ascent a...

    Text Solution

    |

  16. A stone is projected with a velocity 20sqrt2 m//s at an angle of 45^(@...

    Text Solution

    |

  17. A ball is thrown with velocity 8 ms^(-1) making an angle 60^(@) with t...

    Text Solution

    |

  18. The range of a projectile launched at an angle of 15^(@) with horizont...

    Text Solution

    |

  19. A body is projected obliquely from the ground such that its horizontal...

    Text Solution

    |

  20. A projectile is thrown at angle beta with vertical.It reaches a maximu...

    Text Solution

    |

  21. The maximum height attained by a projectile is increased by 5%. Keepin...

    Text Solution

    |