Cheetahs running at top speed have been reported at an astounding 114 km/h (about 71 mi/h) by observers driving alongside the animals. Imagine trying to measure a cheetah’s speed by keeping your vehicle abreast of the animal while also glancing at your speedometer, which is registering 114 km/h.You keep the vehicle a constant 8.0 m from the cheetah, but the noise of the vehicle causes the cheetah to continuously veer away from you along a circular path of radius 92 m.Thus, you travel along a circular path of radius 100 m. (a) What is the angular speed of you and the cheetah around the circular paths? (b) What is the linear speed of the cheetah along its path? (If you did not account for the circular motion, you would conclude erroneously that the cheetah’s speed is 114 km/h, and that type of error was apparently made in the published reports.)
Cheetahs running at top speed have been reported at an astounding
114 km/h (about 71 mi/h) by observers driving alongside
the animals. Imagine trying to measure a cheetah’s speed by keeping
your vehicle abreast of the animal while also glancing at your
speedometer, which is registering 114 km/h.You keep the vehicle a
constant 8.0 m from the cheetah, but the noise of the vehicle causes
the cheetah to continuously veer away from you along a circular
path of radius 92 m.Thus, you travel along a circular path of radius
100 m. (a) What is the angular speed of you and the cheetah around
the circular paths? (b) What is the linear speed of the cheetah along
its path? (If you did not account for the circular motion, you would
conclude erroneously that the cheetah’s speed is 114 km/h, and that
type of error was apparently made in the published reports.)
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