It is proposed that future space stations create an artificial gravity by rotating. Suppose a space station is constructed as a 1000-m-diameter cylinder that rotates about its axis. The inside surface is the deck of the space station. What rotation period will provide 'normal' gravity?
8. Centripetal Forces & Gravitation
Period and Frequency in Uniform Circular Motion
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- Multiple Choice
In simple harmonic motion, what is the mathematical relationship between the frequency and the period ?
- Multiple Choice
A wave is traveling with a frequency of . What is the period of the wave?
- Multiple Choice
What is the relationship between the frequency and the period in uniform circular motion?
- Textbook Question
In the Bohr model of the hydrogen atom, an electron (mass m = 9.1 x 10-31 kg) orbits a proton at a distance of 5.3 x 10-11 m. The proton pulls on the electron with an electric force of 8.2 x 10-8 N. How many revolutions per second does the electron make?
- Multiple Choice
In uniform circular motion, how are the (frequency) and (period) of the motion related to each other?
- Multiple Choice
In uniform circular motion, how are the period and frequency related to each other?
- Multiple Choice
A 3kg rock spins horizontally at the end of a 2m string at 90 RPM. Calculate its centripetal acceleration.
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A science-fiction tale describes an artificial “planet” in the form of a band completely encircling a sun (Fig. 6–38). The inhabitants live on the inside surface (where it is always noon). Imagine that this sun is exactly like our own, that the distance to the band is the same as the Earth–Sun distance (to make the climate livable), and that the ring rotates quickly enough to produce an apparent gravity of g as on Earth. What will be the period of revolution (this planet’s year) in Earth days?
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One problem for humans living in outer space is that they are apparently weightless. One way around this problem is to design a space station that spins about its center at a constant rate. This creates 'artificial gravity' at the outside rim of the station. If the diameter of the space station is m, how many revolutions per minute are needed for the 'artificial gravity' acceleration to be m/s2?
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