Answer:
An inward force of 91.15 MN will be required to withstand Venus's atmospheric pressure.
Explanation:
Since the pressure applied to the lander by Venus's atmosphere is:
Pressure = P = 92 x (Earth's Atmospheric Pressure)
P = 92 x 101.325 KN/m² = 9321.9 KN/m²
Now, we find the surface area on which this Pressure is acting. Since the lander has a hemispherical shape. Therefore its surface area will be:
Surface Area = A = 2πr² = 2πD²/4 = πD²/2
where,
D = diameter of hemisphere = 2.5 m
A = π(2.5 m)²/2
A = 9.817 m²
we know that:
P = F/A
F = PA
where,
F = Inward Force = ?
Therefor,
F = (9321.9 KN/m²)(9.817 m²)
F = 91517.5 KN = 91.15 MN
