What's the difference between revolutions and radians? Are revolutions to be marked as theta?
488535
for calculation of angels we have 3 systems.\n1)degrees\n2)gradians\n3)radians\nin degrees 1 revolution=360 degree\nin gradian 1 revolution=100 grads\nin radian 1 revolution is equal to 2*pie\n(note that we have numerical value of pie as 3.14 but that pie is ratio of curcumference to diameter of same circle, here pie means 180degrees or half of circumference)\nwe count one revolution as 2*pie radians(now numerical value of pie i.e.3.14 is taken to calculate) \nhence we have relation as 1 revolution=2*(3.14) radians \nhence 1 radian is approx. 57 degrees. \nso revolution is not equal to radian but 1 revolutin is same as 2*(3.14) radians
1175205
In a full circle there are 360 degrees. \nEach degree is split up into 60 parts, each part being 1/60 of a degree.  These parts are called minutes. \nEach minute is split up into 60 parts, each part being 1/60 of a minute. These parts are called seconds. \n\nThe size of an angle could be stated this way: 40 degrees, 20 minutes, 50 seconds.\nHow could you state the above as an angle using common decimal notation? The angle would be this many degrees, (* means times.):\n\n40 + (20 * 1/60) + (50 * 1/60 * 1/60) \n\nThat is, we have 40 full degrees, 20 minutes - each 1/60 of a degree, and 50 seconds - each 1/60 of 1/60 of a degree.\n\nWork that out and you will get a decimal number of degrees.  It's 40.34722...\n\nGoing the other way is a bit more difficult. Suppose we start with 40.3472 degrees. Can we express that in units of degrees, minutes, and seconds?\n\nWell, first of all there are definitely 40 degrees full degrees. That leaves 0.3472 degrees.\n\nSo, how many minutes is 0.3472 degrees? Well, how many times can 1/60 go into 0.3472? Here's the same question: What is 60 times 0.3472?  It's 20.832. So, there are 20 complete minutes with 0.832 of a minute remaining.\n\nHow many seconds are in the last 0.832 minutes. Well, how many times can 1/60 go into 0.832, or what is 60 times 0.832? It's 49.92, or almost 50 seconds.\n\nSo, we've figured that 40.3472 degrees is almost exactly equal to 40 degrees, 20 minutes, 50 seconds.\n\n(The only reason we fell a bit short of 50 seconds is that we really used a slightly smaller angle in this second half of the calculation explanation.  In the original angle, 40.34722... degrees, the decimal repeats the last digit of 2 infinitely, so, the original angle is a bit bigger than 40.3472.)
146505
There are several different cases of this problem, depending on what axis or line you rotate the curve around.  I would suggest adding some more details to the problem if you want a more specific answer (i.e. axis of rotation, limits, function).\n\nHere are some of the cases:\nLet y=f(x) be the function of the curve.\n\n1. Rotation about the x-axis:\nV=pi*Int(  (f(x))^2  )\nWhere Int() is the integral of whatever's inside from the limits of A to B, in relation to x. Also, "^" means "raised to the power of." Plus, "*" is the multiplication symbol, and pi is the constant we all know about (3.14.....)\n\n2. Rotation about the y-axis:\nV=2*pi*Int(x*f(x))\nWhere the symbols mean the same thing as above.\n\nNote: These are only specific cases of the problem. If your problem is different, then these formulas may be altered slightly.  Also, these equations give the volume of the space enclosed by the revolution of one curve. If you have more than one curve, then the formulas will be different too.  Oh yeah, and if you're not in a calculus class, then I have no idea how to do this with other non-calculus methods.
664950
In the polar coordinate system r is always positive. It´s the distance from the origin to the point. \n\nThe transformation to rectangular (or rather carthesian) coordinates is as follows:\n\nx = r cos (theta)\ny = r sin (theta)\n\nSo assuming (r,theta) = (5,52 deg) I find\n\nx = 5 cos (52 deg) = 3.08\ny = 5 sin (52 deg) = 3.94 (both rounded off to two decimals)
655000
The minute hand moves at one rate, the hour hand at another, so we first need to determine the rate (in degrees of the rotation) that each travels.\n\nEach hour, the minute hand moves 360 degrees, and the hour hand moves only 1/12 of that:  360 * 1/12 = 30 degrees.  Each minute, the minute hand moves 1/60 of the entire revolution: 360 * 1/60 = 6 degrees.  The hour hand, over the course of one minute would again move 1/12 of what the minute hand moved: 6 * 1/12 = 0.5 degrees.  \n\nNow, let's consider the starting point of each hand.  The minute hand starts at the 12:00 position, which we'll refer to as 0 degrees.  The hour hand starts at the 5:00 position, which would be 5/12 of the total rotation (360 degrees) or:  5/12 * 360 = 1800/12 = 150 degrees.\n\nSo, the position of the minute hand at any given time (t) in minutes would be represented by the starting point (0 degrees) plus 6 degrees times the number of minutes (t) or:\n\n0 + 6t    or    6t\n\nThe location of the hour hand will be represented by the starting point (150 degrees) plus 0.5 degrees times the number of minutes (t) or:\n\n150 + 0.5t\n\nThen, find the point where these two locations are equal:\n\n6t = 150 + 0.5t\n\nsubtract 0.5t from each side:\n\n6t - 0.5t = 150 + 0.5t - 0.5t\n5.5t = 150\n\ndivide both sides by 5.5:\n\n5.5t/5.5 = 150/5.5\nt = 27.27\n\nSo, the two hands will be together at 27.27 minutes past 5:00.
800991
180 degrees is equivalent to pi radians. Think about a circle (even better the unit circle). \n\nOne whole revolution is 360 degrees, or 2 pi, so 180 degrees is half of 360, thus it's pi. \n\nThe coordinates of pi on the Unit Circle is (-1, 0), if you wanted to know.
228730
You can describe rotations and the effect they have on each point in the figure mathematically by means of simple trigonometric equations which can be condensed into a matrix. Imagine (or better, draw) a point on the plane in coordinate system X0,Y0, located at X0=1, Y0=0. Draw a line to the point from the origin. Now draw another coordinate system X1,Y1 with the same origin as X0,Y0 but rotated CW by an angle Theta. (Make Theta small, say 30 degrees.) What are the coordinates of our point in the new system? The answer is a function of Theta. We find that the point is above the X1 axis and nearer the Y1 axis. Specifically, X1 = X0*cosine(Theta) and Y1 = X0*sine(Theta). \nNow if you repeat this with a new point at X0=0, Y0=1, you find that X1 = -Y0*sine(Theta) and Y1 = Y0*cosine(Theta).\nNow the good part. You can put these four equations together to find X1,Y1 for any value of X0,Y0 (not just points located on one axis or the other). The result is\nX1=X0*cosine(Theta) - Y0*sine(Theta)\nY1=X0*sine(Theta) + Y0*cosine(Theta)\nNext you form a rotation matrix R from the Theta-dependent parts of these equations:\nR=[cosine(Theta)___ -sine(Theta)]\n__[sine(Theta) ___ cosine(Theta)] \nNow when you multiply any vector P0, representing any point in X0,Y0 coordinates, by this matrix R using the rules of matrix multiplication, you are actually using the above two equations, and the result is a vector P1 which is the same point represented in X1,Y1 coordinates. Expressed compactly, P1 = R*P0. P0 is said to be transformed by R to P1.\nOf course, this is a 2-dimensional transformation, and R is a 2-by-2 matrix. Sophisticated 3-D computer graphics use a 3-by-3 matrix implementing very similar equations to do 3-D transformations. This is how you can see convincing 3-D models of objects in rotation.
138870
rotation - spin around itself (center of axis)\n\nrevolution - spin around something else (which forms center).
1092288
The International System of Units (SI) unit of frequency is the hertz (Hz):\n\n    1 r/min = 1/60 Hz\n\n            * This is often used for measuring waves, such as radio and sound.\n\nThe SI unit of angular speed is the radian per second:\n\n    1 r/min = 2π rad/min = 2π/60 rad/s = 0.10471976 rad/s\n\nHowever, there is no movement to use either of these units of measure (which are primarily used in physics) to replace revolutions per minute when measuring the rotational speed of machinery.k
223260
uhmm well degrees are the measure of the angle on the curve and minutes and seconds are the radian form of degree measurement ...i don't know what they're really symbolic of... a clock?
697797
If θ is a reflex angle then \n\n180° < θ < 360°\n\nAngles are categorised as follows\n\n0° < θ < 90° ------- acute angle\n90° = θ  ------------ right angle\n90° < θ < 180° --- obtuse angle\n180° = θ ----------- straight angle\n180° < θ < 360° -- reflex angle\n360° = θ ----------- revolution
816697
I havent a clue what your are asking... are we talking about astronomy terms?  Elevation and declination?  Or are you asting about Lattitude and Longitude?
763047
Angle 2*pi is one revolution, so this arc is the circumference!\n2*pi*radius = 18*pi\n\nThere is also the general formula \narc length = radius * angle (in radians), which of course gives exactly the same result here.  But after 2 hours I guess you're not there to see this answer!  Sorry no-one responded earlier.
819223
If I understand correctly, one revolution of the disk is equal to one period.  You need to know the time (T) taken for one period.\n\nFrequency (f):\n f = 1/ T\n T = 1/ f\n T = 1/ 2200\n T = 0∙000 454 545....\n T ≈ 454∙454 µs\n\nAngular speed (w):\n w = Θ/ t\n w = 2π/ 454∙454 x 10^-6\n w = 6∙283 185 307.../ 454∙454 x 10^-6\n w = 13823∙007 68...\n w ≈ 13,823 rad/s\n\nIf the period is 20 for one cycle then:\n w ≈ 13,823 / 20 rad/s\n w ≈ 691∙15 rad/s
610143
I think ur right cos^2(theta) should be cos(theta). then the answer would be perfect.
966696
Arc=r.theta=8*pi/8=pi
764582
1.) I assume that you're going from degrees to radians.\nRemember: 360 degrees = 2π radians\nTherefore: 1 degree = π/180 radians\n\n28 degrees = 28 * π/180 radians = 0.489 radians\n32 degrees = 32 * π/180 radians = 0.559 radians\n41 degrees = 41 * π/180 radians = 0.716 radians\n\n2.) 2π radians = 360 degree\nTherefore: 1 radian = 180/π degree\n\n7.46 radian = 7.46 * 180/π degrees = 427.4 degrees \n\n3.) 360 degree = 1 revolution\nTherefore: 1 degree = 1/360 revolution\n.84 degree = .84 * 1/360 revolution = 0.00233 revolutions