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

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Physics

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

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

(b) Derive an equation that gives the walking speed (amount ofground covered per unit time) for a given walking frequencyf.

[Hint: Start by drawing a picture of the leg positionat the start of the swing (leg back) and the end of the swing (legforward) and assume a comfortable angle of about 30° between thesetwo positions. To how many steps does a complete period of thependulum correspond?]

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

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