A submarine has circular windows of diameter 0.30m. The windows can experience a maximum external pressure of 660 kPa before they crack. What is the minimum external force needed to crack the windows?
A submarine has circular windows of diameter 0.30m. The windows can experience a maximum external pressure of 660 kPa before they crack. What is the minimum external force needed to crack the windows?
Explanation
To find the minimum external force needed to crack the windows, we can use the formula:
Force (F) = Pressure (P) × Area (A)
Given:
P = 660 kPa = 660,000 Pa (converting kPa to Pa)
Diameter (d) = 0.30 m
Radius (r) = d/2 = 0.15 m
Area (A) = πr² = π(0.15)² ≈ 0.0707 m²
Now, calculate the force:
F = P × A ≈ 660,000 Pa × 0.0707 m² ≈ 46,662 N ≈ 47,000 N