Answer:
y(t) = 
Explanation:
Given data :
storage tank contains a liquid at depth ; Y
when tank is half full ; y = 0
flow rate = q
sinusoidal rate = 3Q 
Determine how the equation can be written for this system
solution is attached below
note ; from the question it can be seen that the surface area ( A ) is constant
Answer:
<h3>The answer is 2400 J</h3>
Explanation:
The work done by an object can be found by using the formula
<h3>workdone = force × distance</h3>
From the question
force = 600 N
distance = 4 m
We have
work done = 600 × 4
We have the final answer as
<h3>2400 J</h3>
Hope this helps you
The speed during the first hour is the slope of the piece of line that shows the first hour on the graph.
Average speed is always=(distance covered)/(time to cover the distance)
Distance covered during the first hour = from 0 miles to 40 miles on the graph; that's 40 miles.
Time to cover the distance = from 0 hours to 1 hour on the graph; that's 1 hour
Average speed = (40 miles) / (1 hour)
Average speed during the first hour = 40 miles/hour
I love you too.
Answer:
the net force is 101587.5 N
Explanation:
The speed of wind
v = 30 m/s
The area of roof,
A = 175 m 2
The expression for the Bernoulli's theorem.
P = 12 ρv 2 ...... (1)
Here,
P is the pressure difference,
ρ is the density of air and
v is the speed of wind.
The expression for the pressure.
P = F A ..... (2)
Here,
F is the force and
A is the area of roof.
Part (a)
Substitute the values for the pressure difference in equation (1)
P = 12 × 1.29 × (30) 2 P = 580.5 Pa
Thus, the pressure difference at the roof between the inside and outside air is
580.5 Pa
Part (b)
Substitute the values for the net force in equation (2)
580.5 = F 175 F = 101587.5 N
Thus, the net force is 101587.5 N.
Vector trigonometry can be used for this problem. Since the horizontal component is 12 meters per second, this is technically the hypotenuse (actual initial velocity) multiplied to cosine of 40 degrees. Therefore, to find the hypotenuse, we must divide 12 by cosine 40degrees. cos(40)= 0.766, and 12/0.766 = approximately 15.664, therefore our answer is (3) 15.7 m/s
