If you're on a Ferris wheel at a carnival, seated 10 m from the Ferris wheel's axis that makes a complete rotation each minute, your linear speed is Group of answer choices62.8 m/min.100 m/min.31.4 m/min.10 m/min.
Question
If you're on a Ferris wheel at a carnival, seated 10 m from the Ferris wheel's axis that makes a complete rotation each minute, your linear speed is Group of answer choices62.8 m/min.100 m/min.31.4 m/min.10 m/min.
Solution
The linear speed of a point moving in a circular path is given by the formula v = rω, where r is the radius of the circle and ω is the angular speed.
In this case, the radius r is 10 m (the distance from the axis of the Ferris wheel to your seat) and the Ferris wheel makes one complete rotation each minute.
The angular speed ω is given by 2π radians per rotation, and since there is one rotation per minute, ω = 2π radians/minute.
Substituting these values into the formula gives v = 10 m * 2π radians/minute = 20π m/minute.
Therefore, your linear speed is approximately 62.8 m/min.
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