The maximum gage presuure is known to be 10 mpa in a spherical steel pressure vessel having a 200 mm outer diameter and a 6 mm wall thickness. knowing that the ultimate stress in the steel used is 400 mpa determine the factor of safety with respect to tensile failure

Explanation:

Given:

maximum gauge pressure in the steel ,

outer diameter of the vessel,

wall thickness of the vessel,

ultimate stress of the steel,

We first check the type of shell:

so the vessel is a thin shell.

Now the maximum tensile stress in the vessel due to maximum pressure is given as:

Now the factor of safety:

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s