Question

One of the great difficulties in landing on Venus is dealing with the crushing pressure of the atmosphere, which is 92 times the Earth’s atmospheric pressure.

(A) If you are designing a lander for Venus in the shape of a hemisphere 2.5 m in diameter, how many Newtons of inward force must it be prepared to withstand due to the Venusian atmosphere?

Answer 1

Answer:

About 366 mega newton of inward force

Step-by-step explanation:

Detailed explanation and calculation is shown in the image below

Answer 2

An inward force of 91.15 MN will be required to withstand Venus's atmospheric pressure.

Step-by-step 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