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MA_775_DIABLO [31]
3 years ago
6

The flywheel of a steam engine begins to rotate from rest with a constant angular acceleration of 1.33 rad/s2. It accelerates fo

r 27.9 s, then maintains a constant angular velocity. Calculate the total angle through which the wheel has turned 53.5 s after it begins rotating.
Physics
1 answer:
Svetradugi [14.3K]3 years ago
3 0

Answer:

We first to know that if the wheel rotates from rest means that at t=0 the velocity and the angle rotated is 0.

Then, we know:

\alpha = 1.33 = \frac{dw}{dt}

Integrating 2 times, we have:

w = 1.33t\\angle =0.665t^{2}

For the first 27.9 s, we have:

w = 37.107 rad/s

angle = 517.6426 rad

For the next seconds, according to the text, the angular velocity is constant so

w = 37.107 rad/s and hence, integrating:

angle =37.107t

Then, the time remaining is:

53.5 - 27.9 = 25.6  

So for the next 25.6 seconds we have:

angle = 37.107*25.6=949.9392 rad

Finally, we add the 2 angles and we have as a result:

angle = 517.6426+949.9392=1467.5818

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PART ONE
stepladder [879]

Answer:

1. A1, B2, C3

2. 47.1°

Explanation:

Sum of forces in the x direction:

∑Fₓ = ma

f − Fᵥᵥ = 0

f = Fᵥᵥ

Sum of forces in the y direction:

∑Fᵧ = ma

N − W = 0

N = W

Sum of moments about the base of the ladder:

∑τ = Iα

Fᵥᵥ h − W (b/2) = 0

Fᵥᵥ h = ½ W b

Fᵥᵥ (l sin θ) = ½ W (l cos θ)

l Fᵥᵥ sin θ = ½ l W cos θ

The correct set of equations is A1, B2, C3.

At the smallest angle θ, f = Nμ.  Substituting into the first equation, we get:

Nμ = Fᵥᵥ

Substituting the second equation into this equation, we get:

Wμ = Fᵥᵥ

Substituting this into the third equation, we get:

l (Wμ) sin θ = ½ l W cos θ

μ sin θ = ½ cos θ

tan θ = 1 / (2μ)

θ = atan(1 / (2μ))

θ = atan(1 / (2 × 0.464))

θ ≈ 47.1°

5 0
3 years ago
A plant species has two possible gene variations for seed shape. One plant has smooth seeds, and another has wrinkled seeds. The
vovikov84 [41]

Answer: The correct answer is- The plant with the smooth seeds is homozygous for the dominant trait.

According to the Mendelian genetics, dominant trait is the one that expresses itself and masks the expression of the recessive trait. Dominant is depicted with capital letter and recessive with small letter.

Let us consider 'S' depicts the allele for smooth seed and 's' for the wrinkled seeds. There can be two genotypes for smooth seeds that is 'Ss' and 'SS' whereas only one genotype is possible for wrinkled ( 'ss') seeds.

As per the question, there is no chance of the offspring born with wrinkled seeds. This is only possible when the parental plant with smooth seeds is homozygous for the dominant trait ( like SS) . Therefore, only smooth trait will be visible in the offsprings ( with genotype Ss) of the parental plants and there will be no chance of wrinkled seeds (ss) in the offsprings.


6 0
3 years ago
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If you add 50.0 mL of water to a beaker containing 22 mL of water, then how much water do you have in the beaker?
saw5 [17]

Answer:

72 mL

Explanation:

if you add 50.0 mL of water to a beaker containing 22 mL of water, then the total in the beaker is 50.0 + 22 = 72 mL

6 0
3 years ago
A man pulls on his dog's leash to keep him from running after a bicycle. Which term best describes this example?
otez555 [7]
We know the answer doesn't have to do with force because we have not identified a positive or negative axis. 

Depending on what the system we are evaluating is, the sign of the work can change.

If work is done on the system, it is negative, but if work is done by the system, it is positive. 

If the system we are evaluating is the leash, the work is being done by the leash, and therefore, the work is positive.

If the system we are evaluating is the dog, the work is being done on the dog, and therefore, the work is negative.


8 0
3 years ago
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Which is most likely a covalent compound?<br><br> LiF<br> MgS<br> NH3<br> CaCl2
Artemon [7]

Answer:

NH₃

Explanation:

The compound that is covalent from the given choices is NH₃.

Covalent compounds are usually formed between two atoms with similar values of electronegativities such that the difference is very small or zero.

  • This bond type involves the sharing of electrons between two atoms with similar electronegativities.
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  • The 3 hydrogen electrons are enough to make nitrogen isoelectronic with neon.
  • Also, the nitrogen with 3 lone pairs of electrons provides the bonding hydrogen with needed electrons to attain a structure similar to helium.
8 0
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