An article explains that the locomotion of different-sized animals can be compared when they have the same Froude number, defined as F = V² gl where v is the animal's velocity, g is the acceleration due to gravity (9.81 m/sec2) and I is the animal's leg length. (a) Different animals change from a trot to a gallop at the same Froude number, roughly 2.56. Find the velocity at which this change occurs for an animal with a leg length of 1.12 m. (b) Ancient footprints of a dinosaur are roughly 1.4 m in diameter, corresponding to a leg length of roughly 5.6 m. By comparing the stride divided by the leg length with that of various modern creatures, it can be determined that the Froude number for this dinosaur is roughly 0.025. How fast was the dinosaur traveling? (a) The velocity at which this animal changes change from a trot to a gallop is m/sec. (Round to the nearest tenth as needed.)
An article explains that the locomotion of different-sized animals can be compared when they have the same Froude number, defined as F = V² gl where v is the animal's velocity, g is the acceleration due to gravity (9.81 m/sec2) and I is the animal's leg length. (a) Different animals change from a trot to a gallop at the same Froude number, roughly 2.56. Find the velocity at which this change occurs for an animal with a leg length of 1.12 m. (b) Ancient footprints of a dinosaur are roughly 1.4 m in diameter, corresponding to a leg length of roughly 5.6 m. By comparing the stride divided by the leg length with that of various modern creatures, it can be determined that the Froude number for this dinosaur is roughly 0.025. How fast was the dinosaur traveling? (a) The velocity at which this animal changes change from a trot to a gallop is m/sec. (Round to the nearest tenth as needed.)
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Transcribed Image Text:**Understanding Locomotion Through Froude Number**
An article explains that the locomotion of different-sized animals can be compared when they have the same Froude number, defined as \( F = \frac{v^2}{gl} \), where \( v \) is the animal's velocity, \( g \) is the acceleration due to gravity (9.81 m/sec²), and \( l \) is the animal's leg length.
**(a)** Different animals change from a trot to a gallop at the same Froude number, roughly 2.56. Find the velocity at which this change occurs for an animal with a leg length of 1.12 m.
**(b)** Ancient footprints of a dinosaur are roughly 1.4 m in diameter, corresponding to a leg length of roughly 5.6 m. By comparing the stride divided by the leg length with that of various modern creatures, it can be determined that the Froude number for this dinosaur is roughly 0.025. How fast was the dinosaur traveling?
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**Solution:**
**(a)** The velocity at which this animal changes from a trot to a gallop is _____ m/sec.
*(Round to the nearest tenth as needed.)*
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