A company designed and sells an ultrasonic receiver, which detects sounds unable to be heard by the human ear. The receiver can
detect mechanical and electrical sounds such as leaking gases, air, corona, and motor friction noises. It can also be used to hear bats, insects, and even beading water. The receiver is 1818 in. deep. The focus is 6 in.6 in. from the vertex. Find the diameter of the outside edge of the receiver.
1 answer:
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Details that are not provided: the problem figure is included.
We can address the exercise by applying Poiseuille's law. This law indicates that for a fluid flowing in a laminar manner within a confined pipe,
where:
represents the pressure difference across the two ends
denotes the viscosity of the fluid
L signifies the length of the pipe
indicates the volumetric flow rate, where
is the cross-sectional area of the tube and
refers to the fluid's velocity
r stands for the pipe's radius.
This law can be utilized for the needle, allowing us to compute the pressure difference between point P and the needle's end. In this scenario, we have:
is the dynamic viscosity of water at
L=4.0 cm=0.04 m
and r=1 mm=0.001 m
Substituting these values into the formula yields:
This pressure difference specifies the value between point P and the needle's termination. As the end of the needle is under atmospheric pressure, the gauge pressure at point P, relative to atmospheric pressure, is exactly 3200 Pa.
Para calcular el peso utilizamos la fórmula:
Cuando tenemos dos cuerpos, empleamos la fórmula de la gravedad general:
Donde:
G = constante de gravedad =
Mp = masa de la persona = 882 / 9.81= 89.9kg
ME = masa de la Tierra =
r = distancia entre la Tierra y la persona
A partir de estas dos fórmulas, deducimos que los lados izquierdos son equivalentes, por lo tanto, los lados derechos también deben serlo.
Resolviendo esta ecuación para r:
r=6371116m = 6371.116km
Esta es la distancia desde el centro de la Tierra. El radio de la Tierra es 6370km y la altura sobre la superficie es 6371.116 - 6370 = 1.116km o 1116m.
Answer:
Power output, P = 924.15 watts
Explanation:
We have the following parameters:
Length of the ramp, l = 12 m
Weight of the individual, m = 55.8 kg
Incline angle with respect to the horizontal,
Elapsed time, t = 3 s
Let h represent the vertical height of the hill:
h = 5.07 m
Power P required for a person to ascend the hill can be expressed as:
P = 924.15 watts
This indicates that a minimum average power output of 924.15 watts is essential for an individual to ascend this elevation. Thus, this is the answer sought.