Debbie places two shopping carts in a cart Corral. she pushes the first cart, which then pushes a second cart. what force is bei
1 answer:
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Answer:
Explanation:
The word 'nun' for thickness, I will interpret in international units, that is, mm.
We will begin by defining the intensity factor for the steel through the relationship between the safety factor and the fracture resistance of the panel.
The equation is,
We know that is 33Mpa*m^{0.5} and our Safety factor is 2,
Now we will need to find the average width of both the crack and the panel, these values are found by multiplying the measured values given by 1/2
<em>For the crack;</em>
<em>For the panel</em>
To find now the goemetry factor we need to use this equation
That allow us to determine the allowable nominal stress,
\sigma_{allow} = 208.15Mpa
So to get the force we need only to apply the equation of Force, where
That is the maximum tensile load before a catastrophic failure.
Answer:
v = √(Lsinθ tanθ)
Explanation:
From the diagram attached,
v = the tangential speed.
r = the radius of the horizontal circle.
T = tension in the string.
θ = the angle that the string makes with the vertical
m = Bob's mass (mg = the weight)
F = centripetal force
L = the length of the string
From geometry,
r = Lsin θ
Thus, the centripetal acceleration is given as;
a = v²/r = v²/Lsin θ
Force = mass x acceleration
Thus,
Centripetal force = mv²/Lsin θ
Let's balance the vertical forces to obtain,
T cosθ - mg = 0
Thus, T cosθ = mg - - - - (eq1)
Similarly, let's balance the horizontal forces to obtain;
T sinθ = F = mv²/Lsin θ
So, T sinθ = mv²/Lsin θ - - - - (eq2)
Let's divide eq 2 by eq 1 to get;
Tsinθ/Tcosθ = (mv²/Lsin θ)/mg
tanθ = gv²/Lsinθ
Thus, v² = Lsinθ tanθ
v = √(Lsinθ tanθ)
Answer:
The length of the longer pipe is L = 2.30 m
Explanation:
Given that:
Two open organ pipes, sounding together, produce a beat frequency of 8.0 Hz . The shorter one is 2.08 m long.
How long is the other pipe?
From above;
The formula for the frequency of open ended pipes can be expressed as:
where n = 1 ( since half wavelength exist between those two pipes)
v = 343 m/s and L = 2.08 m
Thus, the shorter pipe produces a frequency of :
Also; we know that the beat frequency was given as 8.0 Hz
Then,
The lower frequency of the longer pipe = ( 82.45 - 8.0 )Hz
The lower frequency of the longer pipe = 74.45 Hz
Finally;
From the above equation; make Length L the subject of the formula. Then,
The length of the longer pipe is L =
The length of the longer pipe is L =
The length of the longer pipe is L =
The length of the longer pipe is L = 2.30 m