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Problem 6 - Olympiad

A solid sphere is rolling on a horizontal surface with a velocity of 5 m/s. What is the angular velocity of the sphere?

Correct: B

The angular velocity of the sphere can be calculated using the formula ω = v/r, where ω is the angular velocity, v is the linear velocity, and r is the radius of the sphere. Given v = 5 m/s, and assuming a radius of 0.5 m for a typical solid sphere (since specific radius is not provided), we can calculate ω = 5 / 0.5 = 10 rad/s. However, since the radius was not provided in the question and we cannot assume a specific radius, let's consider the relationship for rolling objects where v = rω, and if we assume the answer choices are based on a relationship like this but with a specific radius in mind (though not provided), we would typically look for a direct relationship between v and ω that matches one of the answer choices without specific radius given.