The final rotational speed ω_final and the instantaneous power P delivered to the wheel are; ω_f = √((ω_i)² + 2(FL/(kmr²) and P = Frω_i
<h3>What is the Instantaneous Power?</h3>
A) From rotational kinematics, the formula for the final angular velocity is;
ω_f = √((ω_i)² + 2αθ)
where;
α is angular acceleration
θ = L/r. Thus;
ω_f = √((ω_i)² + 2α(L/r))
Now, α = T/I
Where;
I is moment of inertia = k*m*r²
T is t o r q u e = F * r
Thus;
α = (F * r)/(kmr²)
α = F/(kmr)
ω_f = √((ω_i)² + 2(F/(kmr))(L/r))
ω_f = √((ω_i)² + 2(FL/(kmr²)
B) Formula for instantaneous power is;
P = Fv
where at t = 0; v = rω_i
Thus;
P = Frω_i
Read more about Instantaneous Power at; brainly.com/question/14244672
The distance between the campsite and the rest area is 9 miles.
The given parameters:
- <em>Initial speed of the campers, u = 4.5 mph</em>
- <em>Final speed of the campers, v = 4 mph</em>
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Let the time of motion from the campsite to rest area = t (hours)
Time for return trip = t hours + 15 mins
= (t + 0.25) hours
Let the distance between the campsite and rest area = d
d = 4.5t
d = 4(t + 0.25)
4.5t = 4(t + 0.25)
4.5t = 4t + 1
4.5t - 4t = 1
0.5t = 1
t = 2 hours
The distance between the campsite and the rest area is calculated as follows;
d = 4.5t
d = 4.5 x 2
d = 9 miles
Thus, the distance between the campsite and the rest area is 9 miles.
Learn more about distance and speed here: brainly.com/question/2854969
Answer:
What I believe would help young people build better future for themselves is if they simply did what they wanted to do and made sure that they dd well in school so that they can achieve their goals in life. Also, I believe that children could try to make friends along the way so that do not have to go through everything alone and instead will have someone to go along with them.
Explanation:
Answer:
0.2776
Explanation:
Mean = 15000, SD = 1500
We need to find Cumulative probability: P(X > 15884)
First we need to convert it into normal distribution.
From the attached file, we can see the shaded area we are looking for.
For conversion as follow; 
Next to find Z = 
= 0.59
now we have converted to normal distribution and found the value of Z, we need to find the probability P(X > 15884).
P(X > 15884) = P(Z > 0.59).
From the normal distribution table at Z= 0.59, and greater than 0.59, Probability = 0.2776.
