During a relaxed walking pace, an animal's leg can be thought of as a physical pendulum...

During a relaxed walking pace, an animal's leg can be thought of as a physical pendulum of length L that pivots about the hip.

(a) What is the relaxed walking frequency for a cat (L = 30 cm), dog (60 cm), human (1 m), giraffe (2 m), and a mythological titan (10 m)?

(b) Derive an equation that gives the walking speed (amount of ground covered per unit time) for a given walking frequency f.

[Hint: Start by drawing a picture of the leg position at the start of the swing (leg back) and the end of the swing (leg forward) and assume a comfortable angle of about 30° between these two positions. To how many steps does a complete period of the pendulum correspond?]

(c) Find the walking speed for each of the animals listed in part (a).

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genius_generous answered 2 years ago

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