1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Trava [24]
3 years ago
6

: A pneumatic "cannon" is a device that launches a low mass projectile from a cylindrical tube using pressurized air stored upst

ream of the projectile. The projectile is held in place while the pressurized air is introduced to the cylinder. After the trigger is released, the projectile accelerates down the tube and the pressure upstream of the projectile drops according to the relation.
p = π [ 1 − (x/d)²] /25

where π is the initial (high) pressure in the tube before the trigger is released, x is the distance traveled by the projectile, and d is the diameter of the tube. If we have a 5.0 cm diameter tube, with a projectile initially located 5.0 tube diameters upstream of the tube exit, and the initial pressure upstream of the projectile is 12 bar. Determine the work done by the air on the projectile during the time it is in the tube. Assume that there is no friction between the tube and the projectile.
Engineering
1 answer:
alukav5142 [94]3 years ago
5 0

Answer:

Work done = 125π J

Explanation:

Given:

P = P_i * ( 1 - (x/d)^2 / 25)

d = 5.0 cm

x = 5 * d cm = 25d

Pi = 12 bar

Work done = integral ( F . dx )

F (x) = P(x) * A

F (x) =  (πd^2 / 4) * P_i * (1 - (x/d)^2 / 25)

Work done = integral ((πd^2 / 4) * P_i * (1 - (x/d)^2 / 25) ) . dx

For Limits 0 < x < 5d

Work done = (πd^2 / 4) * P_i  integral ( (1 - (x/d)^2) / 25)) . dx

Integrate the function wrt x

Work done = (πd^2 / 4) * P_i * ( x - d*(x/d)^3 / 75 )  

Evaluate Limits 0 < x < 5d :

Work done = (πd^2 / 4) * P_i * (5d - 5d / 3)

Work done = (πd^2 / 4) * P_i * (10*d / 3)

Work done = (5 π / 6)d^3 * P_i

Input the values:

Work done = (5 π / 6)(0.05)^3 * (1.2*10^6)

Work done = 125π J

You might be interested in
WHAT IS THE EFFECT OF ICE ACCRETION ON THE LONGITUDINAL STABILITY OF AN AIRCRAFT?
soldier1979 [14.2K]

Answer:

The major effects of ice accretion on the aircraft is that it disturbs the flow of air and effects the aircraft's performance.

Explanation:

The ice accretion effects the longitudinal stability of an aircraft as:

1. The accumulation of ice on the tail of an aircraft results in the reduction the longitudinal stability and  the elevator's efficacy.

2. When the flap is deflected at 10^{\circ} with no power there is an increase in the longitudinal velocity.  

3. When the angle of attack is higher close to the stall where separation occurs in the early stages of flow, the effect of ice accretion are of importance.  

4. When the situation involves no flap  at reduced power setting results in the decrease in aircraft's longitudinal stability an increase in change in coefficient of pitching moment  with attack angle.

5 0
3 years ago
Key term of Bimetal strip
frez [133]

Answer:

Bimetallic strip is a strip consisting of two metals of different coefficients of expansion welded together so that it buckles on heating : used in thermostats.

4 0
2 years ago
How does sea navigation work?
ahrayia [7]

Answer:

a clock

Explanation:

you use a clock in water

3 0
3 years ago
What is engine knock? What cause the engine knock problem?
antiseptic1488 [7]

Answer:

When the uneven burning of the fuel takes place due to the incorrect air/fuel mixture inside the engine cylinder, a knocking sound is observed. This is called as the engine knocking.

Explanation:

When the uneven burning of the fuel takes place due to the incorrect air/fuel mixture inside the engine cylinder, a knocking sound is observed. This is called as the engine knocking.

The engine knock problem can be caused due to the following reason

a) When the octane rating of the fuel used is low.

b) The deposition of the carbon around the cylinder walls takes place.

c) The spark plug used in the vehicle is not correct.

3 0
3 years ago
Any help is appreciated &lt;3
Len [333]

Answer:

forwarder

Explanation:

8 0
3 years ago
Other questions:
  • Consider a cylindrical specimen of some hypothetical metal alloy that has a diameter of 11.0 mm. A tensile force of 1550 N produ
    7·1 answer
  • The rigid beam is supported by a pin at C and an A992 steel guy wire AB of length 6 ft. If the wire has a diameter of 0.2 in., d
    14·1 answer
  • What type of fuel does a 2 cycle engine use
    5·1 answer
  • A flashed steam geothermal power plant is located where underground hot water is available as saturated liquid at 700 kPa. The w
    14·1 answer
  • The guy wires AB and AC are attached to the top of the transmission tower. The tension in cable AB is 8.7 kN. Determine the requ
    8·1 answer
  • Do you know who Candice is
    8·2 answers
  • 30 points have a good day
    11·1 answer
  • Question text
    11·1 answer
  • Help please!!!!!
    12·1 answer
  • Technician a s ays a shorted circuit can generate excessive heat. technician b says a shorted circuit will cause the circuit pro
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!