Answer:
899752.13598 N
Explanation:
p = Pressure on the plate = 
A = Area = 
F = Force on the region
When force is divided by area we get pressure

Force is exerted by the atmosphere on a disk-shaped region is 899752.13598 N
Answer:
The average gauge pressure inside the vein is 110270.58 Pa
Explanation:
This question can be solved using the Bernoulli's Equation. First, in order to determine the outlet pressure of the needle, we need to find the total pressure exerted by the atmosphere and the fluid.

Then, we have to find the fluid's outlet velocity with the transversal area of the needle, as follows:

As we have all the information, we can complete the Bernoulli's expression and solve to find the outlet pressure as follows:

Answer:
P₁ = 219.3 Pa
Explanation:
This fluid mechanics problem, we can use that the pressure is distributed with the same value throughout the system, which is Pascal's principle.
Let's use the subinidce1 for the small diameter and the subscript 2 for the larger diameter.
P₁ = P₂
pressure is defined by
P = F / A
we subtitute
F₁ / A₁ = F₂ / A₂
F₁ = F₂ A₁ / A₂
the area in a circle is
A = π r² = π d² / 4
we substitute
F₁ = F₂ (d₁ / d₂)²
we calculate
F₁ = 17640 (2/32)²
F₁ = 68.9 N
Having the force to be applied we can find the air pressure on the small plunger
P₁ = F₁ / A₁
P₁ = F₁ 4 / π d₁²
let's calculate
P₁ = 68.9 4 / (π 0.02²)
P₁ = 219.3 Pa
4days and 12hours
Explanation:
Given parameters:
Average speed = 15m/s
Distance = 1800 miles
Unknown:
Number of days = ?
Solution:
Speed is the rate of change of distance with time;
Speed = 
Since the unknown is number of days, it is a measure of time:
Time = 
The distance from California to Lansing is 1800miles. The journey takes the truck drivers to and fro. It is a two way trip;
Total distance = 1800 miles x 2 = 3600miles
We need to convert miles to meters since that is the unit we can conveniently work with;
1 mile = 1609.34m
3600 miles = 3600 x 1609.34
= 5793638m
Inputting the values in the equation:
Time =
= 386242.53s
Now we need to convert to day;
In a day, = 60 x 60 x 24 = 86,400s
1 day = 86400s
Therefore;
The number of days =
= 4.47days
This implies that it will take them 4 days and approximately 12 hours.
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Answer:
The frequency increases, and the pitch increases
Explanation:
- Doppler's law of sound is applicable in such case when the observer or the sound source or both are moving relative to each other.
- In such a case due to space-time constraint the waveform of the sound adjust themselves so as to obey the law of conservation of energy.
<u>The apparent frequency of the sound for the observer is given by:</u>
....................................(1)
where:
observed frequency
original source frequency
speed of sound
speed of source relative to the observer (taken negative when approaching towards the observer and vice-versa)
speed of observer relative to the source (taken negative when moving away from the source and vice-versa)
<u>According to the given situation, eq. (1) becomes:</u>

Since, 
Therefore

Pitch is very closely related to the frequency, it means that how fast is the amplitude of sound varying with time.