What is Range: Definition and 1000 Discussions

The Land Rover Range Rover (generally known simply as the Range Rover) is a 4x4 motor car produced by Land Rover, a marque and sub-brand of Jaguar Land Rover. The Range Rover line was launched in 1970 by British Leyland and is now in its fourth generation.
Additional models have been launched under the Range Rover name, including the Range Rover Sport, Range Rover Evoque, and Range Rover Velar.

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  1. jedishrfu

    Cool E-Wheel Tech range 128 miles at speeds upto 45mph

    Scary and Cool e-wheel tech: - upto 45mph - upto 128 miles driving range (170 lb person at 20mph) - battery charge 8hrs or with dual chargers 4 hrs - $2850 https://www.ewheels.com/product/new-veteran-sherman-18-100v-3200wh-battery-2500w-motor-1000-deposit/?affiliates=152 on youtube:
  2. J

    Ipho 1987, thermodynamics problem: Moist air ascending over a mountain range

    I'm struggling with explanation of part 3. I don't know why they are using adiabatic equation while the gas is constantly heated by condensating vapour. While we are deriving adiabatic equation we use the fact, that there is no additional heat put into the system. Thank you in advance.
  3. Traced

    Find the range of possible dimensions for a volume

    I understand how to get the dimensions that equal 8436m^3. What I don't understand is how to find the range of all possible dimensions. I solved the inequality to get ##6w^{3}-13w^{2}-5w-8436## Using systematic guessing I found the root is x=4, so the factor is x-4. Dividing (x-4) into...
  4. chemisthypnos

    Increasing the Range of Howitzers

    I think that the range of a howitzer be increased simply by adding more explosive propellant. Why is this not used? I would think that this would be a straightforward way to increase the gun's effective range. Any ideas?
  5. Another

    I Photon Interaction with Environment at Long Range

    Why photon interact weakly with their environment over long distances ?
  6. G

    To find the time for which a vessel is within range of these guns

    Could I please ask for help with the following question (the second part): A cruiser sailing due north at 24 km/h sights a destroyer 48 km due east sailiing at 56 km/h on a course (360-a) degress where cos(a)=11/14. Show that the destroyer's course realtive to the cruiser is on a bearing of...
  7. E

    At what range does a conservative force contribute to the thermal U?

    Suppose we define our system to contain a few deformable bodies that exert gravitational forces on each other, and are consequently moving towards each other in some vague sense. We might want to express the total energy of the system as the sum of the mechanical energy and internal energy...
  8. Kaushik

    Finding the Range of the given function

    ##f(x) = 6^x + 3^x + 6^{-x} + 3^{-x} + 2## But, ## AM >= GM## So, ##f(x) >= 5 * 2 ^ {\frac{1}{5}}## But this is not the case. According to the graph, it is ## f(x) >= 6##. If I do the same thing without considering the constant '2' then I am getting the answer. let ##g(x) = 6^x + 3^x +...
  9. C

    Ideal Ball weight to get the maximum range from a ball launcher?

    Hello guys, i am building a ball launcher to proper a line of baits into the sea, the line has 25 baits, each bait weights 30 grams (about 1oz) ideal shooting degree seems to be 45 to get maximum range, What I would like to figure out is the ideal weight of the ball to achieve the greatest...
  10. K

    I Confused about the effective range

    Hello! I am reading Introductory Nuclear Physics, Second Edition, by Samuel Wong and in Appendix B-3, he talks about the effective range. In the derivation of the formula, in equation B-34 he writes: $$v_0(k,r)=_{r \to \infty}u_0(k,r)=_{r \to \infty}=A\sin(kr+\delta_0)$$ where ##v_0(k,r)## is...
  11. S

    MHB Determining the range for a function to be increasing

    Hi, it would be really nice if someone could give me a correct answer with a little explanation to this question. Thanks.
  12. mastermechanic

    Cost of a 50 km range RC system & Type of Antenna

    Hello everyone, I'm a mechanical engineering student working on a reconnaissance/surveillance UAV system. To summarize it, 1-) It will either have FLIR camera system (If I can afford it) or GoPro with turret system. In either case it will transmit 4K or lower quality video record. It will also...
  13. J

    The range for y if t>=10 is [-4, 0].

    From integration by parts, and using y(10) = 0, I get the equation ##2e^{3t-30} = \frac{|y-2|}{|y+1|}.## Let ##f(t) = 2e^{3t-30}##. Since it's for t>10, f(10) = 2, and we have ##2=\frac{|y-2|}{|y+1|}##. Depending on the sign I choose to use, I get either that y=-4 or y =0. Since ##t: 10...
  14. danielhaish

    Does the size of a magnet affect its range?

    I wandering if the size of magnet or if there is vacuum or not change the range of magnet
  15. S

    Determine the range of a function using parameter differentiation

    The strategy here would probably be to find a differential equation that ##f## satisfies, but differentiating with respect to ##x## using Leibniz rule yields ##f'=\int_x^{2x} (-te^{-t^2x}) \ dt + \frac{2e^{-4x^3}-e^{-x^3}}{x}## Continuing to differentiate will yield the integral term again...
  16. A

    Sizing corner reflectors for frequencies in the audible range

    I'm contemplating extending the concept of corner reflectors to wavelengths in the audible spectrum, specifically road noise. I read somewhere that road noise is predominantly between 800 Hz and 1300 Hz. The corresponding wavelengths (at 20°C) are 16.9 inches and 10.4 inches. I read elsewhere...
  17. baldbrain

    Range of f(x): Intersection of h(x) and g(x) Ranges

    ## Let~~f(x)=h(x)+g(x) , where~~h(x)=10^{\sin x}~~and~~g(x)=10^{\csc x}## ##Then,~~D_f = {D_h}\cap {D_g}## ##Clearly,~~D_h=ℝ~~and~~D_g=ℝ-\{nπ|n∈ℤ\}## ##∴~~D_f =ℝ-\{nπ|n∈ℤ\}## After considering the new domain, the range of ##\sin x## in ##10^{\sin x}## is ##[-1,1]-\{0\}## Therefore, the range of...
  18. Wrichik Basu

    Python List index out of range (works fine for list size < 25)

    I have a program where I am supposed to find out the pressure, given the ideal gas equation with Van der Waal's correction, $$\left(p - \frac{a}{v^2}\right)\left(v - b\right) \ = \ Rt$$I have to take a constant value for ##t## (user input), and ##v## will range from 1 to 20 in steps of 0.01. ##a...
  19. DaTario

    Zero Limit of Sum of Squares of Terms with Bounded Range

    I don't know how to show that this limit is zero. It seems that ##\sum_{i=1}^N a_{i,N} /N = 1## and the fact that ## 0 < a_{i,N} < M > 1## implies that some ##a_{i,N}## are less than one. Another conclusion I guess is correct to draw is that ##\lim_{N \to \infty} \sum_{i=1}^N a_{i,N}^2 /N < 1##.
  20. D

    I What is the range of natural photon frequencies?

    Given that electromagnetic waves transport energy via photons, what is the lowest and highest possible frequency of a photon and what physical phenomena do these relate to? It is clear that the larger the wavelength the lower the energy for a photon. so what are the limits of the wavelength?
  21. A

    Permeability of copper in the microwave frequency range

    Relative DC permeability of copper is 1. Conductors are considered dispersive and therefore the permeability should change with frequency. Where can I find data or how can I calculate permeability of copper in Ghz frequency range?
  22. A

    Deriving the magnitude range of the force F for which van does not tip over

    Okay so I'm not quite sure about the normal reaction forces. The condition is that they are both equal for the sum of frictional forces to be zero but then technically when substituting into the number equations in place of [ n(1) + n(2) ] either 2n(1) or 2n(2) makes me confused as then n(1)...
  23. bluesky314

    I Question about an eigenvalue problem: range space

    A theorem from Axler's Linear Algebra Done Right says that if 𝑇 is a linear operator on a complex finite dimensional vector space 𝑉, then there exists a basis 𝐵 for 𝑉 such that the matrix of 𝑇 with respect to the basis 𝐵 is upper triangular. In the proof, he defines U=range(T-𝜆I) (as we have...
  24. Buzz Bloom

    I Questions about error range from Bayesian statistics

    About cosmology: https://www.physicsforums.com/threads/what-is-the-probability-that-the-universe-is-absolutely-flat.971984/#post-6180036 Planck paper: https://arxiv.org/pdf/1502.01589.pdf As in PCP13 we adopt a Bayesian framework for testing theoretical models. In the Planck paper, pages 38-40...
  25. L

    How does RFI manifest in the audio range?

    So I understand that grounded shielding of audio equipment is necessary to block both EMI and RFI from audio equipment, but what I can't find information about is how, for example, radio frequency interference "RFI" at 150kHz, can interfere with audio equipment in such a way that you will hear...
  26. F

    I Human eye and its focal length range....

    Hello, The human eye has an average diameter of ##2.5 cm## and an optical power between ##60D## and ##64D##. An object can be brought as close as the near point which is about ##25 cm##. If ##d_{o}=0.25m## (object distance) and ##d_{i}= 0.025m## (distance to the retina), the optical power...
  27. J

    Finding range of a function using inequalities

    My attempt : Given ##f(x)## and ##g(x)## for ## -1.6 < x < 1.6## we get ##0\leq f(x)<1.6## Thus, for ##f(g(x))## we get ## -3 \leq g(f(x)) < -1.4## Thus the required set should be the interval ##[-3, -1.4)##? My Questions : 1. What have I missed since my answer does not match the given...
  28. J

    Finding the range of a function when checking if it is bijective

    To check if it is injective : ##h'(x) = 3(x^2-1)## ##\implies h'(x) \geq 0## for ##x \in (-\infty, -1]## Thus, ##f(x)## is increasing over the given domain and thus is one-one. To check if it is surjective : Range of ##f(x) = (0, e^4]## but co-domain is ##(0, e^5]## thus the function is into...
  29. Abimotek

    Automotive Honda EU generator -- which is the best oil temperature range rating?

    Please below attached which is best oil in my 4 stroke gen set Honda EU 10i, weather temperature attached in my area. I all so have two oil grades > 4T 10w-30 and Coastal Synthetic Blend 5W-30, please advice which will help the life of the gen set
  30. F

    Can we hear beats between ultrasounds in the audible range?

    Hi all, I recently came across an exercise observing that human cannot hear ultrasounds, but could hear the beat between two different ultrasounds, provided that its frequency falls in the audible range between 20 Hz and 20kHz. The problem gives one frequency and asks for the range of the other...
  31. R

    Projectile motion -- Maximum range it can travel inside a 2m tunnel

    Homework Statement A particle is projected inside a tunnel which is 2 m high and must not hit the side or ceiling of the tunnel. If the initial speed is U show that the maximum range of the particle inside the tunnel You may assume that the maximum range is attained when the projectile just...
  32. P

    B Wi-Fi Waves: Why Short Range & Microwaves for Long Distances?

    Why do Wi-Fi waves have such short distance and some microwaves are used for sending information through long distances?
  33. M

    Water vapor absorption in THz range

    Hi everyone! Terahertz time-domain spectroscopy (THz-TDS) is a spectroscopic technique that is using the radiation in the THz range. https://en.wikipedia.org/wiki/Terahertz_time-domain_spectroscopy A THz-TDS setup consists of an emitter and detector. The emitter creates a short broadband...
  34. V

    Proving the range of a piecewise function

    Homework Statement Allow f:ℤ→ℤ be defined by, for all n∈ℤ f(n) = {n-1 if n is even, n+5 if n is odd Prove that ran(f) = ℤ Homework EquationsThe Attempt at a Solution I am unsure of how exactly to prove this due to the fact now I am working with a piecewise function. Here is what I have so...
  35. C

    Aliens with Control over Gravitons in the KHz Range

    See my previous post! https://www.physicsforums.com/threads/do-gravitons-have-frequency-like-photons.957146/ Let's say we had some aliens that had the ability to emit/interact with gravitons with frequency roughly in the range corresponding to human hearing (20Hz-20KHz), and that they had an...
  36. T

    Calculate the range of sizes of the particles

    Calculate the range of sizes of the particles. 
 ν= velocity of decent d = diameter ps = density η = viscosity P1 = density v= (d^2 (p_s-p_1 )g)/〖18〗_η Rearrange for the diameter. v= (d^2 (p_s-p_1 )g)/〖18〗_η 〖18〗_η v= d^2 (p_s-p_1 )g (〖18〗_η v)/(p_s-p_1 )g= d^2 √((〖18〗_η...
  37. D

    Number of functions from a to b where {123} is in the range of (f)

    Homework Statement A has n elements. B={0,1,2,3} {1,2,3}⊆range(f) Homework EquationsThe Attempt at a Solution So in each function we must choose those 3 numbers in the range. So let's first choose all the diffrent possiblites to choose those 3: n*(n-1)*(n-2) now for the remaining elemnts, we...
  38. K

    MATLAB Matlab plotting and defining range

    how do you define x to be from minus pi to plus pi in matlab? i tried: x = -pi : piBut when i said plot (x,y) Matlab says: "Error using plot Data must be numeric, datetime, duration or an array convertible to double" (i already defined y interms of x, that function is ok) so i culd not...
  39. Shaw-krow

    Long distance broadcast, internet data packets across town?

    I got something i want to do for fun and help out a...person i know but i never finished high school so that's my degree level. i was wondering if there is a way under $100 to possibly use my internet or posibly 2 peoples internet connections on the other side of the town i live in, split up the...
  40. karush

    MHB What are the domain and range for the inverse function $f^{-1}$ of $f$?

    Find the inverse function $f^{-1}$ of $f$. Find the range of $f$ and the domain and range of $f^{-1}$ $$f(x)=5 \sin x +2; \quad -\frac{\pi}{2}\le x \le \frac{\pi}{2}$$ exchange x for y and solve for y \begin{align*}\displaystyle x&=5\sin y + 2 \\...
  41. B

    What Was the Initial Energy of a Positron Entering a Plastic Slab?

    Homework Statement Q- a positron emerges normally from a 4-mm thick slab of plastic (density= 1.14g/cm^3) with an energy of 1.62 MeV. What is the energy of the particle when it entered the slab? Homework Equations Range when 0< T <= 2.5 MeV: R= .412+T^[1.27-.0954*ln(T)] where T is kinetic...
  42. B

    Projectile Motion Question: A projectile is fired on a long flat firing range....

    Homework Statement A projectile is fired with an initial speed of 46.6 m/s at an angle of 42.2 ∘ above the horizontal on a long flat firing range. 1-Determine the maximum height reached by the projectile. 2-Determine the total time in the air. 3-Determine the total horizontal distance...
  43. nomadreid

    I Infinite range of E-M field vs finite age of particles

    It is said (hopefully no need to give references for such a common statement) that the electromagnetic field of a given charged particle is infinite in range (albeit converging to zero as the distance goes to infinity). However, given that charged particles apparently did not exist at the...
  44. Y

    MHB What happens when dividing by a negative in an inequality?

  45. QuantumRose

    Find the range of acceleration so that the drums won't fall

    Problem: https://drive.google.com/open?id=19PDuyshgP6u4U9mXU3BfrF031J8wL12B Attempt: I tried to solve the range by listing out the Newton's 2nd laws of each drum https://drive.google.com/open?id=1Eslg2Wy3orG41eywwm_O6qN4OQ3QN-bA and from the equations of the drum 2, I get...
  46. astroman707

    What angle will give the object the greatest range?

    Homework Statement 1-A rifle can shoot a projectile with a velocity of 207m/s. At what angle should the rifle be pointed to give the maximum range? 2-Evaluate the maximum range Homework Equations N/A The Attempt at a Solution I considered at first that the problem seemed like it could be...
  47. Z

    Continuous random Var range and example

    Homework Statement Why we use range with continuous random and why is time continuous var and why we associate a range with it? Homework Equations Theoreticl topic The Attempt at a Solution Hi, I can't understand about the continuous random var and its range. It says that measurable values are...
  48. T

    MHB Domain & Range: Find It on a Graph

    How do you find the domain and range of a graph?
  49. L

    Range calculation for Airbus A320 aircraft

    Homework Statement Hi to all, the Task I struggle with, is the range calculation from an Airbus A320 with the Breguet Range Equation which is defined as: Homework Equations R = (cl/cd) * (V/(g*SFC)) * ln(w0/w1) with V = velocity g = gravity SFC = specific fuel consumption w0 =...
  50. S

    What is the range and time period of this particle?

    Homework Statement The longer-range inter-nucleon force is not a direct result of the gluon field, but is indirectly affected by a quark-antiquark pair (i.e. meson). If this ‘residual’ strong interaction between nucleons is mediated by a π-meson, then what is the maximum time period in which...
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