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).
