Shown is an adaptation of Galileo’s data of the angle between Jupiter and
its moon Callisto.
what you know about the orbit of planets and satellites, why does Galileo’s
data look like it does?
Given your finding above, explain the possible relationships depicted in the
Reference: See Giancoli-PA: 11-1, Giancoli-SE: 14-2.
a: Answer: The data suggest a negative cosine curve, yet planets and satellites
move in mostly circular orbits. Therefore, Galileo was seeing circular motion
Answer b: As suggested in Galileo’s data, circular motion viewed edge on,
looks like a sine or a cosine curve. Here there is a direct relationship between
the position, velocity, and acceleration in the y- direction for the coin on the
turntable and the position, velocity, and acceleration in the y-direction for
the mass on the spring. Since the magnitude of the velocity for the coin on the
turntable is constant, we can determine that when y=+/- ymax, vy=0
and when y=0, vy=+/- vmax. These relationships are also
true for the mass on the spring..
Script Author: Mario Belloni