Suppose that a steel hoop could be constructed to fit just around the earth's equator at a temperature of 20.0 Celsius.

What would be the thickness of space between the hoop and the earth if the temperature of the hoop were increased by 0.200 C?
Use 6.38×106m for the radius of the earth, and 1.20×10−5K^-1 for the coefficient of linear expansion of steel.

  1. 👍
  2. 👎
  3. 👁
  1. The increase in hoop length would be
    delta L = (2 pi R)*delta T*1.2*10^-5 = 96.2 m

    The radius increases by the same factor, 1.2*10^-5*0.2 = 2.4*10^-6.
    Multiply that by the original radius.
    The new hoop radius is larger by 15.3 m

    That is how high the hoop will rise above the surface

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. science

    1. How is the equator similar to the prime meridian? (1 point) Both the equator and prime meridian are lines that divide Earth into the Northern and Southern hemispheres. Both the equator and the prime meridian are imaginary base

  2. Science

    What directly causes the pressure difference between the equator and the poles?(1 point) the rotation of Earth on its axis the length of each season the direction where wind blows the amount of heat in each area Why is the equator

  3. Physics

    Four objects - a hoop, a solid cylinder, a solid sphere, and a thin, spherical shell - each has a mass of 4.59 kg and a radius of 0.252 m. (a) Find the moment of inertia for each object as it rotates about the axes shown in the

  4. science

    Why is the equator region the hottest part of Earth’s surface? The equator region has the widest diameter. The sun shines directly on the equator region. The rays of the sun hit the equator region at an angle. The equator region

  1. Physics

    The power radiated by the sun is 3.90 1026 W. The earth orbits the sun in a nearly circular orbit of radius 1.50 1011 m. The earth's axis of rotation is tilted by 27° relative to the plane of the orbit (see the drawing), so

  2. science

    how is the equator similar to the prime meridian A. both the prime meridian and equator are lines that divide earth into norther and southern hemispheres B. both the prime meridian and equator are imaginary base lines from which

  3. physics

    The earth has a radius of 6380 km and turns around once on its axis in 24 h. 1)What is the radial acceleration of an object at the earth's equator? Give your answer in m/s^2 2) What is the radial acceleration of an object at the

  4. science

    A hoop of mass M = 4 kg and radius R = 0.4 m rolls without slipping down a hill, as shown in the figure. The lack of slipping means that when the center of mass of the hoop has speed v, the tangential speed of the hoop relative to


    How does latitude affect climate? a.) Areas near the equator have cooler climates than areas far from the equator. b.) Areas near the equator have warmer climates than areas far from the equator.*** c.) areas near the equator have

  2. Physics

    A hoop of radius 1.4 m and mass 11.5 kg has a small ball stuck to its inside surface. The ball has a radius of one quarter that of the hoop, and twice the hoop’s mass. The hoop may roll freely, without slipping. Similarly, the

  3. 6th math

    Every 24 hours, Earth makes a full rotation around its axis. Earth's speed of rotation at the equator is 1,670 km per hour. What is the circumference of Earth's equator?

  4. Physics

    At ground level g is 9.8m/s^2. Suppose the earth started to increase its angular velocity. How long would a day be when people on the equator were just 'thrown off'? Why is the expression 'thrown off' a bad one?

You can view more similar questions or ask a new question.