8. Centripetal Forces & Gravitation

Period and Frequency in Uniform Circular Motion

Angular velocity, frequency and period for a spinning disk.

Equations for Velocity and Acceleration in UCM

At its Ames Research Center, NASA uses its large “20-G” centrifuge to test the effects of very large accelerations (“hypergravity”) on test pilots and astronauts. In this device, an arm 8.84 m long rotates about one end in a horizontal plane, and an astronaut is strapped in at the other end. Suppose that he is aligned along the centrifuge’s arm with his head at the outermost end. The maximum sustained acceleration to which humans are subjected in this device is typically 12.5g. (c) How fast in rpm (rev/min) is the arm turning to produce the maximum sustained acceleration?

5.1 Uniform Circular Motion

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?

Uniform Circular Motion - IB Physics

Spinning Space Station

Windmill RPMs

<p>A 3kg rock spins horizontally at the end of a 2m string at 90 RPM. Calculate its centripetal acceleration.</p>

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. (a) If the diameter of the space station is 800 m, how many revolutions per minute are needed for the “artificial gravity” acceleration to be 9.80 m/s2?

Circumference, Period, and Frequency in UCM

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