of different-sized animals can be compered when they have the same Froude number

Question

of different-sized animals can be compered when they have the same Froude number, defined as Fws his the anima's veloohy,gs the aceertion due to gravity 3 81 misec) and is the animal's leg length (a)Different arimals change from a trot to a gallop at the same Froude number roughly 2.56 alegle .Find the ecity at which this change occurs for an animal wh a leg length of 0 41 m. adrosa rare rou hy 1.7 mind ameter corresponding ndro 68 By compargheride d ded by te leg er gh wit tat e' vero usm demon hms, ta determined that the Froude number for this dinosaur is roughly 0.025. How fast was the dinosaur traveling be (a) The velociy at which this animal changes change from a arot to a gallops Round to the nearest tenth as needed)

Explanation / Answer

F = v^2 / (gL)

2.56 = v^2/ (9.81 * 0.41)

v^2 = 2.56 * 9.81 * 0.41

v^2 = 10.296576

So, square rooting :
v = 3.2088278233647875

So, 3.2 m/s ---> ANS

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b)
F = v^2 / (g*L)

0.025 = v^2 / (9.81 * 6.8)

v^2 = 9.81 * 6.8 * 0.025

v^2 = 1.6677

v = 1.3 m/s ---> ANS

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