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centripetal acceleration= v^2/r
solve for v.
solve for v.
centripetal acceleration = (tangential speed)^2 / radius
Given data:
Centripetal acceleration = 3.0 m/s^2
Radius (length of the rope) = 2.1 m
Rearranging the formula to solve for tangential speed:
(tangential speed)^2 = centripetal acceleration * radius
tangential speed = √(centripetal acceleration * radius)
Plugging in the values:
tangential speed = √(3.0 m/s^2 * 2.1 m)
Calculating:
tangential speed ≈ √(6.3 m^2/s^2)
tangential speed ≈ 2.51 m/s
Therefore, the girl's tangential speed is approximately 2.51 m/s.