The point moves in a circle with a radius of 5 cm. Find the path and displacement of the point during
| September 18, 2021 | education
The point moves in a circle with a radius of 5 cm. Find the path and displacement of the point during the time when it made a quarter turn.
To find the path and move a given point, we will use the formulas: S = Π * R / 180 * α and L = 2 * R * sin (α / 2).
Variables: R – radius of the circle (R = 5 cm = 0.05 m); α – angle of rotation (for a quarter circle α = 90º).
Calculation: a) Path: S = Π * R / 180 * α = 3.14 * 0.05 / 180 * 90 = 0.157 / 2 = 0.0785 m.
b) Displacement: L = 2 * R * sin (α / 2) = 2 * 0.05 * sin (90/2) = 0.0707 m.
Answer: The path and displacement of the set point are 0.0785 m and 0.0707 m, respectively.
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