The Huygens Probe NASA’s Cassini mission to Saturn released a probe on December 25, 2004

9780321541635
mastering-physics

#1

The Huygens Probe NASA’s Cassini mission to Saturn released a probe on December 25, 2004, that landed on the Saturnian moon Titan on January 14, 2005. The probe, which was named Huygens, was released with a gentle relative speed of 31 cm/5, As Huygens moved away from the main spacecraft, it rotated at a rate of seven revolutions per minute, (a) How many revolutions had Huygens completed when it was 150 yards from the mother ship? (b) How far did Huygens move away from the mother ship during the revolution? Give your answerin feet.

Answer:

Speed of the probe v = 31 cm/s
= 0.31 m/s
Angular frequency image

image
= 0.1167 rev/s

(a) Distance of the probe from the mother ship

image
= 137.16 m
Time taken by the probe to reach this distance image
image

Number of revolutions completed image
image

(b) Distance moved by the probe away from the ship during each revolution

image