CapAvv Fdrag (a) (pencil/paper) Calculate a (Ca = 1/2), the diameter is 24 cm, the mass is 624 g, and the density of air is 1.225 kg/m³. What is the terminal velocity in this case? CapA/m for a basketball. Assume a perfect sphere

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**Equation:**

\[ \mathbf{F}_{\text{drag}} = -\frac{1}{2} C_d \rho A v \mathbf{v} \]

**Problem Statement:**

(a) (pencil/paper) Calculate \(\alpha = \frac{1}{2} C_d \rho A / m\) for a basketball. Assume a perfect sphere (\(C_d = 1/2\)), the diameter is 24 cm, the mass is 624 g, and the density of air is 1.225 kg/m\(^3\). What is the terminal velocity in this case?
Transcribed Image Text:**Equation:** \[ \mathbf{F}_{\text{drag}} = -\frac{1}{2} C_d \rho A v \mathbf{v} \] **Problem Statement:** (a) (pencil/paper) Calculate \(\alpha = \frac{1}{2} C_d \rho A / m\) for a basketball. Assume a perfect sphere (\(C_d = 1/2\)), the diameter is 24 cm, the mass is 624 g, and the density of air is 1.225 kg/m\(^3\). What is the terminal velocity in this case?
Expert Solution
Step 1

Given:

The diameter of the spherical basketball is d=24 cm=0.24 m.

The mass of the ball is m=624 g=0.624 kg.

The density of air is ρ=1.225 kgm3.

The coefficient of the drag force is Cd=1/2.

 

 

 

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