Answer:
T = 3.23 s
Explanation:
In the simple harmonic movement of a spring with a mass the angular velocity is given by
w = √ K / m
With the initial data let's look for the ratio k / m
The angular velocity is related to the frequency and period
w = 2π f = 2π / T
2π / T = √ k / m
k₀ / m₀ = (2π / T)²
k₀ / m₀ = (2π / 3.0)²
k₀ / m₀ = 4.3865
The period on the new planet is
2π / T = √ k / m
T = 2π √ m / k
In this case the amounts are
m = 6 m₀
k = 10 k₀
We replace
T = 2π√6m₀ / 10k₀
T = 2π √6/10 √m₀ / k₀
T = 2π √ 0.6 √1 / 4.3865
T = 3.23 s
Producers to primary consumers to secondary consumers to tertiary consumers to carnivores
Additionally, the coefficient of thermal expansion of the restorative material should be comparable to the coefficient of thermal expansion of the tooth structure, since a significant difference between the two could result in thermal-induced stress at the cavity wall and subsequent marginal failure.
This study's objective was to assess how thermal stress affected the marginal integrity of restorative materials with various adhesive and thermal characteristics. As an alternative to clinical trials, which are expensive and time-consuming, evaluation of restorative materials under laboratory simulations of clinical function is frequently carried out. Thermal cycling regimens, which are in vitro techniques that subject the restoration and the tooth to extremely high temperatures, are frequently used in laboratory simulations to replicate thermal stresses that naturally occur in vivo.
Learn more about Thermal Stress here-
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think you messed up the symbol for resistor as resistors are measured in ohms where the symbol used for ohms is Greek omega
solving for average power in secondary coil:
average power =(current rms)^2*resistance⇒with a little algebra:
current rms=(√average power/resistance)
current rms=√160W/10Ω
current rms=4amps.
average power is also equal to current rms*voltage rms
with some algebra we can solve for voltage in the secondary wire:
voltage rms= average power/ current rms
voltage rms= 160W/4A
voltage rms=40Volts
now that we have voltage in the soecondary we can solve for the amount of turns in the secondary: Voltage secondary/voltage primary=number of turns in secondary/ number of turns in primary. using some algerbra we can solve for number of turns in secondary: (Voltage secondary/voltage primary)*number of turns in primary=number of turns in secondary
(40V/120V)*75turns=number of turns in secondary
number of turns in secondary=25turns
The graph is one single line and, as a system solution refers to an intersection point (in other words, a point in common), we affirm both equations share all of their points and thus, such system has infinite solutions.
