Question

A ball of mass 60g is moving due south with a speed of 50 ms−1 at latitude 30ºN.
Calculate the magnitude and direction of the coriolis force on the ball. Compare the
magnitude of this force to the weight of the ball.

Answer 1

Answer on Question #80550, Physics / Mechanics | Relativity

Question:

A ball of mass 60g is moving due south with a speed of 50 ms⁻¹ at latitude 30°N. Calculate the magnitude and direction of the coriolis force on the ball. Compare the magnitude of this force to the weight of the ball.

Solution:

The Coriolis force $F = 2m\overline{V} \times \overline{\omega} = m2V\omega \sin \alpha = 0.06 \cdot 2 \cdot 50 \cdot \left(\frac{6.28}{24 \cdot 3600}\right) \cdot 0.5 = 0.06 \cdot 0.0036 = 0.22$ (mN), it acts on the West direction.

The ratio of Coriolis force to the weight equals to $\frac{0.0036}{9.81} = 3.7 \cdot 10^{-4}$

The answer:

$\mathrm{F} = 0.22 \mathrm{mN}$, acts on the West direction.

The ratio of Coriolis force to the weight equals to $3.7 \cdot 10^{-4}$

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