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A pneumatic device produces 35 psi of pressure when a force of 20 pounds is applied. What is the diameter of the cylinder?

Respuesta :

mathstudent55

Answer:

0.85 inch

Explanation:

pressure = force/area

35 psi = (20 lb)/A

A = (20 lb)/(35 lb/in^2)

A = 4/7 in^2

The area of the cylinder is 4/7 in^2.

area of circle = pi * r^2

pi * r^2 = 4/7 in^2

r^2 = 4/(7*pi) in^2

r = sqrt[4/(7*pi) in^2]

r = 0.4265 inch

d = 2r = 0.85 inch

Lanuel

Based on the calculations, the diameter of this cylinder is equal to 0.853 inches.

Given the following data:

Pressure, P = 35 psi

Force, F = 20 pounds

How to calculate the diameter of the cyclinder?

First of all, we would determine the area of the cylinder by using this formula:

A = F/P

A = 20/35

A = 0.5714 in²

For the diameter:

A = πd²/4

0.5714 = 3.142 × d²/4

2.2856 =  3.142d²

d² = 2.2856/3.142

d² = 0.7274

d = √0.7274

d = 0.853 inches.

Read more on pressure here: https://brainly.com/question/24827501

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