Answer:
The angular velocity is 7.56 rad/s
the maximum water height is 2 ft
Explanation:
The z-position as a function of r is equal to
(eq. 1)
where
h0 = initial height = 1 ft
w = angular velocity
R = radius of the cylinder = 1.5 ft
zs(r) = 0 when the free surface is lowest at the centre
Replacing and clearing w

if you consider the equation 1 for the free surface at the edge is equal to

Answer: Even low airborne concentrations (100 ppm) of ammonia may produce rapid eye and nose irritation.
GPS device details are given below.
Explanation:
Even a simple GPS unit has a wide range of settings and features. Because every unit’s operation varies, this article won’t provide step-by-step details. Read the owner's manual to familiarize yourself with it..
If you’d like additional help, you can also sign up for a GPS navigation class at an REI store.
Though steps vary, all GPS receivers do the following basic functions:
Display position: A GPS tells you where you are by displaying your coordinates; it also shows your position on its base map or topo map.
Record tracks: When tracking is turned on, a GPS automatically lays down digital bread crumbs, called “track points,” at regular intervals. You use those later to retrace your steps or to evaluate the path you traveled.
Navigate point-to-point: A GPS directs you by giving you the direction and distance to a location, or “waypoint.” You can pre-mark waypoints by entering their coordinates at home. In the field you can have the unit mark a waypoint at a place you'd like to return to, such as the trailhead or your campsite. A GPS unit provides the bearing and distance “as the crow flies” to a waypoint. Because trails don’t follow a straight line, the bearing changes as you hike. The distance to travel also changes (decreasing, unless you’re heading the wrong direction) as you approach your goal.
Display trip data: This odometer-like function tells you cumulative stats like how far you’ve come and how high you’ve climbed.
GPS and your computer: GPS units come with a powerful software program that lets you manage maps, plan routes, analyze trips and more. Invest the time to learn it and to practice using all of its capabilities.
Answer:
Yes, fracture will occur since toughness (42.4 MPa) is greater than the toughness of the material, 40MPa
Explanation:
Given
Toughness, k = 40Mpa
Stress, σ = 300Mpa
Length, l = 4mm = 4 * 10^-3m
Under which fracture occurred (i.e., σ= 300 MPa and 2a= 4.0 mm), first we solve for parameter Y (The dimensionless parameter)
Y = k/(σπ√a)
Where a = ½ of the length in metres
Y = 40/(300 * π * √(4/2 * 10^-3))
Y = 1.68 ---- Approximated
To check if fracture will occur of not; we apply the same formula.
Y = k/(σπ√a)
Then we solve for k, where
σ = 260Mpa and a = ½ * 6 * 10^-3
So,.we have
1.68 = k/(260 * π * √(6*10^-3)/2)
k = 1.68 * (260 * π * (6*10^-3)/2)
k = 42.4 MPa --- Approximately
Therefore, fracture will occur since toughness (42.4 MPa) is greater than the toughness of the material, 40 MPa
Answer:
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