Answer:
τ = 132.773 lb/in² = 132.773 psi
Explanation:
b = 12 in
F = 60 lb
D = 3.90 in (outer diameter) ⇒ R = D/2 = 3.90 in/2 = 1.95 in
d = 3.65 in (inner diameter) ⇒ r = d/2 = 3.65 in/2 = 1.825 in
We can see the pic shown in order to understand the question.
Then we get
Mt = b*F*Sin 30°
⇒ Mt = 12 in*60 lb*(0.5) = 360 lb-in
Now we find ωt as follows
ωt = π*(R⁴ - r⁴)/(2R)
⇒ ωt = π*((1.95 in)⁴ - (1.825 in)⁴)/(2*1.95 in)
⇒ ωt = 2.7114 in³
then the principal stresses in the pipe at point A is
τ = Mt/ωt ⇒ τ = (360 lb-in)/(2.7114 in³)
⇒ τ = 132.773 lb/in² = 132.773 psi
<u>Answer:</u>
Terameter is 10²⁴ times picometer.
<u>Explanation:</u>
1 Tera = 10¹², 1 Giga = 10⁹, 1 Mega = 10⁶, 1 kilo = 10³
1 Pico = 10⁻¹², 1 Nano = 10⁻⁹, 1 Micro = 10⁻⁶, 1 milli = 10⁻³
Here we need to find how much larger is a terameter than a picometer.
1 terameter = 10¹²m and 1 picometer = 10⁻¹²m
Ratio = terameter/picometer = 10¹²/10⁻¹² = 10²⁴
So terameter is 10²⁴ times picometer.
Yes.
The acceleration vector WILL point south when the car is slowing down while traveling north
Answer:
, 6.1 s
Explanation:
The motion of the dropped penny is a uniformly accelerated motion, with constant acceleration
towards the ground. If the penny is dropped from a height of
the vertical position of the penny at time t is given by the equation
where the negative sign is due to the fact that the direction of the acceleration is downward.
We want to know the time t at which the penny reaches the ground, which means h(t)=0. Substituting into the equation, it becomes
And re-arranging it, we find an expression for the time t:
And substituting the numbers, we can also find the numerical value: