The centripetal acceleration is the ratio of the tangential speed and the
radius of the shell.
The tangential speed of the part of the shell is approximately 0.12961 m/s
Reasons;
The widest diameter of the egg, d = 12 cm = 0.12 m
The given centripetal acceleration, [tex]a_c[/tex] = 0.28 m/s²
Required:
The tangential speed of the bird.
Solution;
[tex]\displaystyle Centripetal \ acceleration, \ a_c = \mathbf{\frac{v^2}{r}}[/tex]
Where;
[tex]\displaystyle r = The \ radius \ of \ the \ egg \ shell = \frac{d}{2}[/tex]
v = The tangential speed
Which gives;
[tex]\displaystyle r = \frac{0.12}{2} = 0.06[/tex]
[tex]\displaystyle 0.28 \, m/s^2 = \frac{v^2}{0.06 \, m}[/tex]
v² = 0.28 m/s² × 0.06 m = 0.0168 m²/s²
v = √(0.0168 m²/s²) ≈ 0.12961 m/s
The tangential speed, v = 0.12961 m/s
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