The formula that can be used to obtain a convergent series is given by;
a/1 – r.
<h3>What is a series?</h3>
In mathematics, we define a series as sum of numbers which could be convergent or divergent. In a convergent series, the summation of the numbers approaches a given value.
The formula that can be used to obtain a convergent series is given by;
a/1 – r.
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Explanation:
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The range of the projectile is 188 m
Explanation:
The motion of the arrow in this problem is a projectile motion, so it follows a parabolic path which consists of two independent motions:
- A uniform motion (constant velocity) along the horizontal direction
- An accelerated motion with constant acceleration (acceleration of gravity) in the vertical direction
The path of a projectile is the combination of these two motions: see figure in attachment.
In order to find the horizontal range of the projectile, we just need to calculate the horizontal distance travelled.
We have:
t = 5.0 s (time of fligth of the projectile)
and the horizontal velocity is constant, and it is given by

where
is the initial velocity
is the angle of projection
Substituting,

And therefore, the range of the projectile is:

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The tank pressure is 5.08 kPa and the mass flow rate is 2.6 kg/s.
The given parameters:
- <em>Throat area of the nozzle, </em>
<em> = 10 cm² = 0.001 m²</em> - <em>The exit area of the nozzle, A = 28.96 cm² = 0.002896 m²</em>
- <em>Air pressure at sea level = 101.325 kPa</em>
The ratio of the areas of the converging-diverging nozzle is calculated as follows;

From supersonic isentropic table, at
, we can determine the following;

The tank pressure is calculated as follows;

Thus, the tank pressure is 5.08 kPa and the mass flow rate is 2.6 kg/s.
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