What is Rate: Definition and 1000 Discussions

The Institute for Creation Research (ICR) is a Creationist apologetics institute in Dallas, Texas that specializes in media promotion of pseudoscientific creation science and interpretation of the Genesis creation narrative as a historical event. The ICR adopts the Bible as an inerrant and literal documentary of scientific and historical fact as well as religious and moral truths, and espouses a Young Earth creationist worldview. It rejects evolutionary biology, which it views as a corrupting moral and social influence and threat to religious belief. The ICR was formed by Henry M. Morris in 1972 following an organizational split with the Creation Science Research Center (CSRC).Its work in the field of creation science has been rejected by mainstream science, but has been significant in shaping creationist thought in the United States by introducing creation science through fundamentalist churches and religious schools, and by engaging in public debates against supporters of evolution. The ICR also offers unaccredited graduate level programs in Biblical Apologetics, including a minor in Creation Research. The ICR also operates the ICR Discovery Center for Science & Earth History museum in Dallas, Texas.

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  1. N

    Difference quotient problem and average rate of change

    Homework Statement A soccer ball is kicked into the air from a platform. The height of the ball, in metres, t seconds after it is kicked is modeled by h(t) = -4.9t^2 + 13.5t + 1.2. I solved for the expression that represents the average rate of change of height over the interval 2<= t <=...
  2. F

    Convergence rate (with unknown exact solution)

    Homework Statement I want to compute the following integral I=\int_0^1 f(x) dx for a function f(x) such that the integral I cannot be evaluated analytically. f(x) is a known function. Therefore we want to obtain I numerically. To do this we want to use the Trapezium method with...
  3. P

    Finding a function for rate of change

    Hello! I was wondering if somebody could help me develop an answer to the question below. I would like to calculate a rate of change of the following function: θ = arctan (a * (tan β)) where "a" is a constant. By the way, the shape of the curve -- angle alpha as a function of angle...
  4. I

    Independency of the frame of reference of the strain rate tensor

    I've got a problem regarding tensors. Premise: we are considering a fluid particle with a velocity \mathbf{u} and a position vector \mathbf{x}; S_{ij} is the strain rate tensor, defined in this way: \displaystyle{S_{ij}=\frac{1}{2}\left(\frac{\partial u_i}{\partial x_j} +\frac{\partial...
  5. adjacent

    What is the angle of the nth O in a decreasing rate?

    Homework Statement Look at the image.All the O's are of equal length.O1=O2=O3 etc.Angles are subtended from two ends of An O to point P.As you see,O1's angle is larger than O2 ant )2's angle is larger then O3 and so on. As you Go down the O's(i.e. O1,O2,O3 etc),the angle subtented by the O's...
  6. F

    Spacetime expanding at a rate equal to the speed of light

    Is there anyway to figure out the distance at which the universe is expanding (rate of stretching) at a rate that is equal to the speed of light?
  7. Z

    Related Rate Problems: Airplane Distance and Water Level Changes

    Homework Statement This is not my homework I'm a self-learner and I faced a problem solving these two problems and I found nobody to help me to solve them, I hope somebody here will help. The two problems are : 1- An airplane is flying at a constant speed of 360 mile\hr and climbing at an...
  8. S

    Finding the Rate of Change of a Falling Ladder

    https://www.khanacademy.org/math/calculus/derivative_applications/rates_of_change/v/falling-ladder-related-rates Homework Statement Essentially, the question states that a ladder, with length 10ft, is laid up against a wall with its bottom 8ft out. The ladder begins to slip, on a...
  9. S

    Finding the Rate of Change of a Falling Ladder

    https://www.khanacademy.org/math/calculus/derivative_applications/rates_of_change/v/falling-ladder-related-rates Essentially, the question states that a ladder, with length 10ft, is laid up against a wall with its bottom 8ft out. The ladder begins to slip, on a friction-less surface, at a...
  10. O

    Uncertainty-what is the rate with 0.59% precision?

    Uncertainty--what is the rate with 0.59% precision?? Homework Statement Assume that negligible uncertainty in timing of a clock, calculate the number of counts required to measure a rate with 0.50% precision. Homework Equations The least accuracy is 0.50%? The Attempt at a Solution...
  11. M

    Can vapor condensation cause significant drop in vapor flow rate?

    Need some help here! My plant just installed a water scrubber for controlling methanol emissions. Results obtained from stack tests have consistently shown the flow rate of the gasses from the scrubber outlet is about 30% of gas flow rate into the scrubber. From process knowledge, most of the...
  12. S

    Variation of heat transfer coefficeint with flow rate

    Hi all, Doing some calculations on an air-cooled heat exchanger at the moment and could use some help understanding the variation of air-side heat transfer coefficient (htc) with flow rate. It's more of an intuitive problem really as I'm okay with the math, etc. So I know that as you...
  13. P

    Gravity Field Measurment / Refresh Rate of Sensors

    Hi Reading another post about the inverse square law by trewsx7 on this forum, I had the idea that maybe the gravity field isn't constant at some parts. Imaging a 2-dimensional gravity field produced by a source. Considering ∏, there might be a repeating infinitesimal patterns on ∏ where...
  14. K

    Calculating transition rate between nljm resolved states

    I know how to calculate transition rates between nl resolved states in a hydrogen-like atom, but I don't know how to calculate transition rates between nljm states. I know that dipole transition rate is \frac{32}{3}\frac{\pi^3 \alpha c}{\lambda^3}\left<\psi_1|\mathbf{d}|\psi_2\right> The...
  15. C

    How Does x! Compare in Growth to x^2, 2^x, and x^x?

    I was wondering how fast x! grows as it approaches infinity as compared to x2, 2x, and xx. The last one was fairly obvious since x*x*x*x... > x(x-1)(x-2)(x-3)... But I can't figure out a way to show that x! grows faster than x2 or 2x. I know it grows faster since I can compare the graphs of...
  16. sunrah

    Estimate minimum proton lifetime from internal radiation rate

    Homework Statement Estimate the minimum proton lifetime from the fact that you haven't yet died from internal radiation. Use the following conditions: 1.) At a dosis of Dmax = 2 Greys per year (Jkg-1 yr-1) you would already be dead. 2.) The human body is made mostly of water. 3.) The total...
  17. J

    Does Fission rate increase with increasing temperature?

    From the standpoint of temperature (not pressure), would components that could experience fission experience a higher fission rate toward the center of the Earth because of the higher temperature, or at ordinary room temperature conditions?
  18. mishima

    Gardening Project: Flow Rate from pressure requirement

    Hi, I have a small gardening project and am trying to decide what kind of pump I need in order to maintain 50 psi (344.7 kPa) inside the line. The line is a 0.170 inch inner diameter vinyl tube with mister nozzles every few inches, for a total of 2 feet. This is a volume of about 9 cm^3. I...
  19. A

    Rate of change of area of a square with respect to its perimeter

    oops I meant "Rate of change of area of a square with respect to its side length" Ok I have to use this annoying Stewart textbook for my Calc class in college. Most of the questions require what I like to call "Monkey Math," where you just memorize a set of steps and then follow them rigidly...
  20. J

    Hot gas expansion rate into outer space

    Good Morning Sirs, it seems to be surprisingly hard to get the numbers of a mystery: How fast expand hot rocket exhaust gases into empty space? Of course aside from its exit velocity! Does the expansion interfere with the impulse direction? I.e. is the impulse omnidirectional effective...
  21. marcophys

    Gravity is std. therefore can we rate a 'mass at height' by watts?

    For example... wind turbines are primarily listed by their wattage (1.5MW etc.) Presumably their output is varied according to rotational speed, so I'm guessing that the rating is simply a guide. However, for a given mass, at a given height; due to standard gravity, can we state that this...
  22. I

    Exponential rate? when will the pressure be 2500 millibar?

    Homework Statement [10] The air pressure in an automobile's spare tire was initially 3000 millibar. Unfortunately, the tire had a slow leak. After 10 days the pressure in the tire had declined to 2800 millibar. If P(t) is the air pressure in the tire at time t,then P(t) satis es the di...
  23. I

    Rate of water through a conical cone, in order to find constant k

    Homework Statement [10marks] A water tank has the shape of a vertex-down right circular cone. The depth of the tank is 9 meters, and the top of the tank has radius 6 meters. Water flows into the tank from a hose at a constant rate of 14 cubic metres per hour, and leaks out of a hole at...
  24. M

    Radioactive Initial Decay Rate

    Homework Statement The nuclide (32,15)P undergoes Beta - decay with a half-life of 14.3 d. It is used as a tracer isotope in biochemical analysis. What is the initial decay rate of a 1.2mg sample? Homework Equations T1/2 = Ln 2 / λ Ro = λN0 The Attempt at a Solution I first...
  25. W

    Is Changing Radius Constant Equal to a Constant Rate of Change in Area?

    A=\pir^{2} therfore, \frac{dA}{dt}=2\pi\frac{dr}{dt} The question is if \frac{dr}{dt} is constant is \frac{dA}{dt} constant? To me, I know that if the change in radius with respect to time is constant, The rate of change of the are with respect to time still depends on the radius of...
  26. NATURE.M

    Related Rate Problem (Involving Trig.)

    Homework Statement A rocket is moving into the air with a height function given by h(t) = 200t^2. A camera located 150 m away from the launch site is filming the launch. How fast must the angle of the camera be changing with respect to the horizontal 4 seconds after liftoff? Homework...
  27. R

    Relation between Cooling rate and Viscosity in Newtonian fluid

    Relation between Cooling rate and Viscosity Hi all I have a situation where i have a molten Aluminium Copper alloy melt poured in a mould to be solidified. This means, the mould temperature is lower than than than the poured melt. I am thinking about a relation which associates temperature...
  28. N

    Determine the Magnitude of the Time Rate of Change of Angular Momentum

    Homework Statement In an experiment an individual throws a rock with an initial horizontal velocity of v0 = 20 ft/s at time t=0. The rock is thrown from the edge of a cliff (directly above the base of the cliff) at height h=50 ft from the ground. The origin is assigned at the base of the...
  29. T

    Demand Function and Rate of Change

    Homework Statement The demand function for a certain product is given by pq=4000, where p is the price charged per item and q is the quantity which can be sold at that price. If the product currently sells for $3.50 per item, what would be the rate of change of quantity over time if the rate...
  30. C

    Calculating Mass Flow Rate of Nitrogen at 0.3m^3/s

    Homework Statement Work out the mass flow rate of Nitrogen traveling through a at 0.3m^3/s if the pressure is 1 bar and the temperature is 18°C and the ideal gas constant is 8314 J/Kg K Homework Equations m=ρ*V*A m = mass flow rate ρ= density V = velocity A = flow area PV =...
  31. G

    Magnetism of a bar magnet - maximum rate of change?

    Magnetism of a bar magnet -- maximum rate of change? If a bar magnet is placed along the x-axis with (0,0) at its center, along which axis does the magnetic field fall off faster and why?
  32. MarkFL

    MHB Ahmed's Calculus Parallel Resistors Q: Rate of Change Help

    Here is the question: Here is a link to the question: Calculus Parallel Resistors Question Help? - Yahoo! Answers I have posted a link there to this topic so the OP can find my response.
  33. V

    How Do You Calculate Radiation Count Rate for Different Energies?

    Homework Statement I've attached the problem sheet and my attempt at the problem. I've completed all the parts except for the last part, where I have to calculate the count rate of the radioactive source. The answers should be 6000 counts for 185MeV and 4650 counts for 1MeV. I'm not sure...
  34. S

    Rate of change: find rate length is changing at moment

    Homework Statement An equilateral triangle with side length x sits atop a rectangle with a base length of x, with the base of the triangle coinciding with the top base of the rectangle. the height of the rectangle is 7 times the length of its base. If the combined area of the figures is...
  35. A

    Derive average rate of change formula of cos

    Q. Use the addition formula cos(u+v) = cos(u)cos(v) - sin(u)sin(v) to derive the following identity for the average rate of change of the cosine function: (cos(x + h) - cos x) / h = cos x ((cos h - 1) / h) - sin x ((sin h) / h) A. cos(x+h) = cosxcosh - sinxsinh subtitute this to...
  36. W

    Heat Exchanger - Boiling Rate - HT Coefficient

    Homework Statement In Attachment Homework Equations The Attempt at a Solution Second Attachment. - I have only attempted part (i) so far, because I am not sure if I am doing it correctly. I was thinking since the value of the latent heat of pentane is given, surely it has to be...
  37. J

    Satellite Control System With Rate Feedback

    I'm trying to get the transfer function of this rigid control system that uses rate feedback to stabilize it. Using k=1 and kv=0 Attempt at a solution. When kv=0, the rate feedback is removed. In the block diagram, I moved the pickoff point and used the cascade rule to get 1/s^2 and...
  38. M

    Direction of the fastest rate of change of a function (Solution inclu)

    Homework Statement Find all the points at which the direction of the fastest rate of change of the function f(x,y)=x^{2}+y^{2}-2x-4y is i+j Homework Equations The Attempt at a Solution The direction of the fastest change is \nabla f(x,y)=(2x-2)i+(2y-4)j, so we need to find all...
  39. K

    Max Flow Rate of HTA100H-304 Air Pump for Pipe Systems: 0.19 kg/s

    Hi all, i have to use an air pump to create a flow rate in a pipe system. My pump model is hta100h-304 which i have attach the spec below. From actual air delivery data(871.2lpm@10 kg/cm2G,762.3lpm@12kg/cm2G), i try to convert to mass flow rate unit and it is around 0.19 kg/s. Is this mean...
  40. Pruddy

    The Rate at which kinetic energy changes to thermal energy

    A potential difference of 50 mV is maintained between the ends of a 9.70 m length of wire whose cross section area is 25.0mm^2. The conductivity of the wire is 6.80 x 10^6 (ohm.m)^-1. Determine the rate at which the energy in the wire is transformed into kinetic to thermal energy. 2. Homework...
  41. T

    Evaporation rate of light bulb filaments exposed to air

    I know that incandescent bulbs are filled with some inert gas to reduce the rate at which the filament decays. If the filament was to be exposed to ambient air, how long before it evaporated? How long can a mesh of light bulb filaments (or other material with as high a melting point that can be...
  42. Pruddy

    The rate at which the energy in the wire is transformed into kinetic

    Homework Statement A potential difference of 50 mV is maintained between the ends of a 9.70 m length of wire whose cross section area is 25.0mm^2. The conductivity of the wire is 6.80 x 10^6 (ohm.m)^-1. Determine the rate at which the energy in the wire is transformed into kinetic to...
  43. S

    No problem, glad it worked out in the end!

    Homework Statement Suppose you are climbing a hill whose shape is given by the equation: z = 1400 − 0.005x^2 − 0.01y^2 where x, y, and z are measured in meters, and you are standing at a point with coordinates (120, 80, 1264). The positive x-axis points east and the positive y-axis points...
  44. D

    Lifetime of oil with exponential consumption rate

    Homework Statement The total amount of oil in a well is 24000 barrels. The present rate of consumption is 100 barrels per year. How long will the gas supply last if the present yearly rate of consumption increases by 1% per year? Homework Equations We can use the approximation (1+x)^i =...
  45. Q

    Using Torque and Tension to find the rate of decreasing tension

    Homework Statement a 5 kg block with a 10cm length sits at the top of a frictionless, 6.0m 12kg uniform ramp. This ramp is held up by a rope of tension T at a 35* angle to the ground. The block is released and allowed to accelerate. What is the rate at which the tension in the supporting...
  46. marcus

    It's a rate (not a constant) so let's call it that

    One of the main points of cosmology is that the Hubble rate of distance expansion is not constant. In the standard cosmic model it evolves according to the Friedman equation. Recently I've been noticing more professional cosmologists referring to it as a rate, like these people (Roy Maartens is...
  47. D

    Finding rate of change formulas with the given information

    Homework Statement Let Q(t)=t2. Find a formula for the average rate of change (ROC) of Q over the interval [1, t] and use it to estimate the instantaneous ROC at t = 1.Homework Equations For x1 ≠ x0, the average rate of change of y with respect to x over [x0, x1] is the ratio Average ROC =...
  48. S

    MATLAB How Can I Code the Rate of Reaction in MATLAB?

    Can Anybody help to code this in matlab A->B --- A is Sbbstrate here and B is Product Y[b][/a]=stiochimetric Initial values are A[0] and B[0] Q= reaction quotient R=active if Q<k ----- R is reaction R=Stops if Q=k t=...
  49. M

    Calculation of the average rate of reaction

    Hi, Im stuck: I found this example in which they calculate the rate of reaction: the title is "calculating the average reaction rate" Now how the hell is this average reaction rate if they didnt use stoichiometric coefficients!? (in this case it should be 2. Thanks in advance.
  50. E

    What is the comparison rate for this homeloan?

    Hi guys, Just doing a few calculations on a homeloan and comparison rate calculation has got me stumped. Loan Amount: $320,000 Loan Time: 30 years Interest Rate:5.55% Initial Costs:$4463 Monthly Fee: $15 So from this, with a fortnightly compounding frequency, I calculate the total...
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