What is Maximum height: Definition and 149 Discussions

The maximum takeoff weight (MTOW) or maximum gross takeoff weight (MGTOW) or maximum takeoff mass (MTOM) of an aircraft is the maximum weight at which the pilot is allowed to attempt to take off, due to structural or other limits. The analogous term for rockets is gross lift-off mass, or GLOW. MTOW is usually specified in units of kilograms or pounds.
MTOW is the heaviest weight at which the aircraft has been shown to meet all the airworthiness requirements applicable to it. MTOW of an aircraft is fixed and does not vary with altitude, air temperature, or the length of the runway to be used for takeoff or landing.
Maximum permissible takeoff weight or "regulated takeoff weight", varies according to flap setting, altitude, air temperature, length of runway and other factors. It is different from one takeoff to the next, but can never be higher than the MTOW.

View More On Wikipedia.org
  1. R

    MATLAB Plotting Maximum Height & Horizontal Distance

    I'm trying to solve the following problem using a MATLAB script but I keep getting an error: Show on the same axes the maximum height and horizontal distance traveled for an object thrown at a speed of 10ms-1 at an angle ranging from 0 to π/2. Equation for distance & height are: D= v2/g...
  2. F

    Need help calculating maximum height

    Homework Statement A doctor, preparing to give a patient an injection, squirts a small amount of liquid straight upward from a syringe. a) If the liquid emerges with a speed of 1.3 , how long does it take for it to return to the level of the syringe? b) What is the maximum height of the...
  3. A

    Ball throws upward, find maximum height

    Homework Statement You throw a ball directly upward giving the ball an initial velocity of 10m/s. Neglecting friction, what would be the maximum height of the ball? (Explain why you do not need to know the mass of the ball) Homework Equations not sure The Attempt at a Solution...
  4. W

    Projectile Motion and maximum height

    Homework Statement A projectile is launched with a speed of 40 m/s at an angle of 60 degrees above the horizontal. Use conservation of energy to find the maximum height reached by the projectile during its flight. Homework Equations KEi+PEi=KEf+PEfThe Attempt at a Solution i am not sure where...
  5. M

    Solving for Maximum Height of Ball Launched at 60 Degrees

    Homework Statement shot from 60 degrees 128 cm above ground, a metal ball lands 86.5 cm away. what is max height the ball reaches? Homework Equations d=v1 t + 1/2 a tsquared v2squared = v1squared + 2ad d= 1/2(v1 + v2)t a=(v2-v1) / t The Attempt at a Solution...
  6. E

    Maximum height of launched ball

    Homework Statement A ball is launched at an angle of 28 degrees off a platform. The initial velocity is 53m/s. When dropped straight down, the ball hits the ground after 1.6 seconds. What is the maximum height of the ball?Homework Equations Xf = Xi + Vi(t) + (1/2)(a)(t^2) Vix = (Vi)(cos@)The...
  7. M

    Calculate the maximum height of ball 1

    Homework Statement Two balls are connected by a string that stretches over a massless, frictionless pulley. Ball 1 has a mass of 0.45 kg and is held 0.74 m above the ground. Ball 2 has a mass of 5.7 kg and is held 0.88 m above the ground. When the balls are released, ball 2 falls to the...
  8. D

    Maximum Height of Small Ball in Spinning Hollow Ball: Formula and Conditions

    as seen in the following diagram, a small ball is placed inside a larger hollow ball, which is spun at a frequency of "f" around an axis passing through the centre(axis from 12 oclock position to 6) there is no notable friction. what is the height "h" that the small ball will rise to inside...
  9. M

    How High Can an Object Reach if Projected Upward at 3.7 km/s?

    Gravity -- maximum height An object is projected upward from the surface of the Earth with an initial speed of 3.7 km/s. Find the maximum height it reaches. m Ive used the Energy conservation Kf + Uf = Ki + Ui 1/2 mvf^2 - G*M_e*m/rf = 1/2 mvi^2 - G*M_e*m/ri = 0 - G*M_e*m/rf = 1/2 mvi^2 -...
  10. R

    What is the momentum at its maximum height?

    Homework Statement What is its momentum halfway to its maximum height? Answer in units of kg m/s A 0.12 kg ball of dough is thrown straight up into the air with an initial speed of 11 m/s. The acceleration of gravity is 9.8 m/s^2. What is the momentum at its maximum height? Answer in units...
  11. I

    Hang time, range, maximum height

    Homework Statement Find the ball's hang time, range, and maximum height. A player kicks a football from ground level with an initial velocity of 27.0 m/s, 60.0° above the horizontal. Find the ball's hang time, range, and maximum height. Assume air resistance is negligible. Homework...
  12. A

    Maximum Height of Projectile Using Cons. of Energy

    Homework Statement A projectile is launched with a speed of 45 m/s at an angle of 56° above the horizontal. Use conservation of energy to find the maximum height reached by the projectile during its flight. Homework Equations PE=KE mgh=1/2mv^2 gh=1/2v^2 h=.5v^2/g The Attempt at...
  13. G

    Projectile, Range, Maximum Height, Time of Flight Problem

    Homework Statement Your teacher tosses a basketball. The ball gets through the hoop. How long does it take the ball to reach its maximum height? How long does it take the ball to reach the hoop? What is the horizontal length of the shot? (Neglect air friction). Initial velocity: 17 m/s...
  14. K

    Finding Block's Maximum Height in SHM Platform

    Hey all, I trying to get somewhere with the following problem and am not having much luck. Any tips or suggestions would be appreciated! I found that the block leaves the platform at y=2.5 cm though. A platform is in SHM in the vertical direction with an amplitude of 5cm and freq. of...
  15. D

    Help with problem, only given maximum height and range

    Hello i need help with this problem where i am only given the maximum height and range. The problem is that a rocket reaches a height of 72.3 meters and had a maximum range of 111 meters. What is the launch angle? and what is the launch speed? Does anybody know how to solve it
  16. C

    What is the maximum height the ball reaches

    A golfer faces an approach shot from the fairway to an elevated green 6 metres above where she stands. She uses a pitching wedge with a loft of 70 degress and the ball leaves her club traveling at 35 m/s. What is the maximum height the ball reaches above the level from which it was hit...
  17. C

    Calculating Maximum Height & Vertical Velocity of Kong Throws

    (I have already posted this problem in the physics help, but it is more math than physics, so I am also posting it here) For a physics experiment, we had to take a kong (dog toy with a rubber ball on the end of a rope), twirl it and then throw it as far as we could. We were told to record how...
  18. S

    Projectile Motion maximum height

    1. http://img525.imageshack.us/img525/6376/fic11p112xe1.png http://img525.imageshack.us/img525/9550/vqc11p112el8.png [/URL] 2. d = 1/2at^2 + v1t v =d/t 3. horizontal time it takes equals vertical time Horizontal t = d/v = 50 /(v1cos10) Vertical d = 1/2at^2 + v1t...
  19. G

    Find the maximum height of a rocket fired vertically

    Homework Statement A rocket is fired vertically, ejecting sufficient mass to move upward at a constant acceleration of 2.86g. After 50.2s, the rocket motors are turned off, and the rocket subsequently moves under the action of gravity alone, with negligible air resistance. Ignoring the...
  20. S

    Determining Maximum Height of a Projectile Shot Upward from Earth

    Homework Statement A projectile is shot straight up from the Earth's surface at a speed of 1.40×10^4 . How high does it go? Homework Equations potential energy is given by (GM(1)M(2))/R The Attempt at a Solution I attempted to solve this using energy conservation equation and...
  21. H

    What is the momentum at maximum height?

    Hey guys, I'm new to this website and I don't really know how it works, but if somebody can help me with this problem it would be greatly appreciated. A 0.11 kg ball of dough is thrown straight up into the air with an initial speed of 11 m/s. The acceleration of gravity is 9.8 m/s2. What is...
  22. K

    What Is the Momentum of a Ball at Its Maximum Height?

    Homework Statement A 0.15kg ball of dough is thrown straight up into the air with an initial speed of 17 m/s. The acceleration due to gravity is 9.81 m/s^2. What is its momentum at its maximum height? Homework Equations momentum=mass X velocity change in momentum= mass...
  23. P

    Find Maximum Height, Time, and Duration.

    Problem: A model rocket is launched straight upward with an initial speed of 50 m/s. It accelerates with a constant upward acceleration of 2 m/s^2 until the engines stop at an altitude of 150 m. (Use GUESS method, NO working equation.) a) What is the max height reached by the rocket...
  24. B

    Solve the Maximum Height of Body 1 Puzzle!

    http://img9.imagepile.net/img9/30498problem.gif After hours of thinking I can't solve this problem: The system of the figure is motionless.Then body 2 is released, arriving to the ground in 2 seconds. The pulley and the rope have no weight, and there is no friction. Find the maximum height...
  25. B

    How High Does a Rocket Go If It Accelerates for 4 Seconds?

    Finding Maximum Height? A rocket moves striaght upward, starting from rest with an acceleration of 29.4m/s^2. It runs out of fuel at the end of 4.00seconds and continues to coast upward, reaching a maximum height before falling back to Earth. (a.) Find the rocket's velocity and position at...
  26. A

    Find the maximum height and the range of the ball.

    Homework Statement The acceleration due to gravity on the moon has a magnitude of 1.62m/s^2. Assume that the ball is kicked on the moon instead of on the earth. Find(a) the maximum height H and (b) the range that the ballwould attain on the moon. acceleration=1.62 m/s^2 H=? R=? Vy=0 m/s...
  27. J

    Bullet striking block, maximum height obtained?

    Homework Statement A 10-g bullet moving 1000 m/s strikes and passes through a 2.0-kg block initially at rest, as shown. The bullet emerges from the block with a speed of 400 m/s. To what maximum height will the block rise above its initial position? Homework Equations K = (mv^2)/2 W...
  28. P

    Maximum height reached by a ball using work-energy theorem

    A ball is launched with initial speed v from ground level up a frictionless slope. The slope makes an angle theta with the horizontal. Using conservation of energy, find the maximum vertical height hmax to which the ball will climb. Express your answer in terms of v, g, and theta. You may or...
  29. A

    Conservation of Energy and maximum height

    Hi, here's another problem I'm a little stuck on: A block of mass M slides up an incline with an initial speed Vi in the position shown. (The figure is of a block sliding up an incline at an angle "theta" with a final height of "H." Part A: If the incline in fritionless, determine the maximum...
  30. F

    Drawing lemonade of density 1000 kg/m3 up a straw to a maximum height

    To suck lemonade of density 1000 kg/m3 up a straw to a maximum height of 3.3 cm, what minimum gauge pressure (in atmospheres) must you produce in your lungs? I know i need to use P=pgh which equals 1000(9.81)(.033) which equals 323.73 -Then i divide, so, 323.73/1.0125e5 that equals...
  31. F

    Particle's maximum height in liquid

    I'm not sure if this is the appropriate subforum, but here it goes: Suppose you have a particle, with the mass m, at the bottom of jar which is filled with liquid. The particle is shot upwards, parallel to the gravitational force, with the speed v0. The drag force is proportional to the...
  32. W

    What is the maximum height the pinball reaches on the inclined surface?

    A ball (solid sphere of mass=0.1 kg, outer radius=0.1 m) is cocked back 0.7 m on a spring (k= 50 N/m), and on a tilted surface. How much energy is stored in the spring initially? (I found that to be 12.25 J) Find the maximum height the pinball rolls to (above its initial location.) How...
  33. C

    Finding the maximum height of an arrow shot in the air

    QUESTION: An archer shoots an arrow straight up in the air with an initial velocity of 45 m/s [U], it takes the arrow 4.6 s to reach its maximum height. Calculate this maximum height. the α, ∆d, and vi should have arrows over them: MY ANSWER: displacement = ½ [(α ∙ ∆t + vi) + vi + vi]...
  34. L

    Maximum Height of Dropped Package in Helicopter Accident: 1279 meters

    A passenger in a helicopter traveling upwards at 28 m/s accidentally drops a package out the window. If it takes 19 seconds to reach the ground, how high to the nearest meter was the helicopter when the package was dropped? The answer I got for this is: 1237 (to the nearest meter) This is...
  35. S

    What Is the Height of the Fence Cleared by the Golf Ball?

    Homework help. (Solved) A golf ball is hit at ground level. The ball is observed to reach its maximum height above ground level 4.3s after being hit. 1.2s after reaching this maximum height, the ball is observed to barely clear a fence taht is 309 ft from where it was hit. The accelerration...
  36. D

    Maximum height of a projectile

    Prove that the maximum height of a projectile H, divided by the range of the projectile, R, satisfies the relation H/R = 1/4 tan. I have no idea how to do this
  37. Q

    Velocity and maximum height

    a 3 gram mass is projected vertically upward from the Earth's surface at an initial velocity of 1000 cm/sec and moves through a medium that offers a resisting force of 3 |v|. how long does it take to reach its maximum height? assume w = mg, where g = 9.80. i started by using m*(dv/dt) =...
  38. H

    Finding the maximum height of a rocket

    A rocket, initially at rest on the ground, accelerates straight upward from rest with constant net acceleration a, until time t_1, when the fuel is exhausted. Find the maximum height H that the rocket reaches (neglecting air resistance). Express the maximum height in terms of a, t_1, and/or...
  39. S

    Conservation of energy and maximum height

    Using conservation of energy, I found the maximum height v to which an object will rise is h_max= ((1/2)*(v^2))/(g). At what height h above the ground does the projectile have a speed of 0.5v? I found h= (0.125*(v^2))/(g) but that isn't correct.
  40. P

    Maximum height of a uniform vertical column

    There is a maximum height of a uniform vertical column made of any material that can support itself without breaking, and it is independent of the cross-sectional area. (a) Calculate this height for steel (density 7.8 103 kg/m3). (b) Calculate this height for granite (density 2.7...
  41. P

    What is the maximum height achieved by the projectile?

    I have a question from my practice test that is supposed to be on our midterm, so I want to make sure I am doing it right! A 10kg projectile is launched from the wall of a canyon at an angle of 30 degrees above the horizon with a velocity of 100m/s. The wall is 1500m above the canyon floor...
  42. H

    Calculating Maximum Height of a Rock Thrown Vertically Upward

    A 0.26 kg rock is thrown vertically upward from the top of a cliff that is 30 m high. When it hits the ground at the base of the cliff the rock has a speed of 25 m/s. (a) Assuming that air resistance can be ignored, find the initial speed of the rock. (b) Find the greatest height of the...
  43. D

    Maximum height of projectile motion

    I'm having major problems figuring this one out. The question is from the book, yet their are no sample problems and a handful of given formulas. I've played around with the formulas with substitution, etc and I've end up with the wrong answer. Given: Angle of projectile fired and final...
  44. W

    Find its maximum height and initial velocity

    Hello i have been able to do 7 out of 8 question on my linear motion questions, but this last question number 8, is proving difficult. I don't know whether the tutor has made a mistake (as the answers are typed at the bottom) so if you could be of help i would be very glad ty. I am using s =...
  45. L

    What is the maximum height reached by the rocket?

    Could someone please help me do this question, at least parts B and C?? I already know that the max height is 281.66 m. Thank you! A model rocket is launched straight upward with an initial speed of 49.5 m/s. It accelerates with a constantupward acceleration of 1.83 m/s^2 until its engines...
  46. F

    Angle for maximum height of ball bounce

    There is a ball of mass m. It is at height L (see the picture). The kinetic energy is fixed (=E). What is the angle a, for which the ball catches up the maximum height after one bounce? The bounce is elastic. Thanks, Final.
  47. J

    What is the maximum height reached by the arrow?

    An archer shoots an arrow from a height of 5 ft. at an angle of inclination of 30 degrees with a velocity of 300 ft/sec. Write the parametric equations for the path of the projectile and sketch the graph of the parametric equations. If the arrow strikes a target at a height of 5 ft then how far...
  48. K

    Projectile fired - find maximum height

    (9) A projectile is fired with a initial speed of 75.2 m/s at an angle of 34.5^o above the hotizontal on a long flat firing range. Determine (a) the maximum height reached by the projectile, (b) the total time in the air, (c) the total horizontal distance covered(that is, the range), (Ans...
  49. H

    How can I calculate the maximum height reached by a model rocket?

    I have to take a final soon and I have practise questions The only one here I am having trouble with is thislast one. This question bugs me and the answer key doesn't show how to do it After a model rocket reached its maximum height, it then too 5.0 seconds to return to the launch site. What...
Back
Top