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diameter, w = 44/2 = 22 radians per second, and therefore T= 440,000/22=20,000 lb ft.

11The rate at which work is done on a particular axle is measured by the product where T is the torque or turning moment exerted on the axle by the motor or mechanism applied to it for this purpose, and is the angular velocity of the axle in radians per second.

00w=2V /D (5) Here D is in feet, V in feet per second and w in radians per second.

00If the speed is given in miles per hour, S say, V =1.466 S (6) The revolutions of the axle per second, n, are connected with the radians turned through per second by the relation n =w/27r = w/6.38 (7) § 2.

00When the force acts on a body free to turn about a fixed axis only, it is convenient to express the work done by the transformed product TO, where T is the average turning moment or torque acting to produce the displacement 0 radians.

00The general theory of this kind of brake is as follows: - Let F be the whole frictional resistance, r the common radius of the rubbing surfaces, W the force which holds the brake from turning and whose line of action is at a perpendicular distance R from the axis of the shaft, N the revolutions of the shaft per minute, co its angular velocity in radians per second; then, assuming that the adjustments are made so that the engine runs steadily at a uniform speed, and that the brake is held still, clear of the stops and without oscillation, by W, the torque T exerted by the engine is equal to the frictional torque Fr acting at the brake surfaces, and this is measured by the statical moment of the weight W about the axis of revolution; that is T =Fr=WR...

00The ratio p is given by e"` e, where e= 2.718; µ is the coefficient of friction and 0 the angle, measured in radians,, subtended by the arc of contact between the rope and the wheel.

00For some purposes it is preferable to retain the circular measure, i radians, as being undistinguishable from sin i and tan i when i is small as in direct fire.

00di g d tan i g dt - v cos i ' and now (53) dx d 2 y dy d2xdx Cif dt 2 dt dt2 _ - _ gdt' and this, in conjunction with (46) dy _ d y tan i = dx dt/dt' (47)di d 2 d d 2 x dx sec 2 idt = (ctt d t - at dt2) I (dt), reduces to (48) Integrating from any initial pseudo-velocity U, (60) du t _ C U uf(u) x= C cos n f u (u) y=C sin n ff (a); and supposing the inclination i to change from 0, to 8 radians over the arc.

00The ~ force required to constrain the weight a to move in a circle, that is the de viating force, produces an equal and -~ opposite reaction on the shaft, whose X amount F is equal to the centrifugal force Wa2 rig Ib, where r is the radius of the mass centre of the weight, and - a is its angular velocity in radians per second.

00pi radians of phase shift for reflections from a load HALF a wavelength away.

00When you are doing calculus you always use radians.

00This means that in any circle, there are 2p radians.

00Subsequent rendering is rotated by the specified radians relative to the previous origin.

00It will be reflected undergoing a phase change of pi/2 radians?

00This means that 360° is the same as 2pi radians or 180° is pi radians.

00Therefore, there is a full 360 degrees or 2 pi radians of phase shift for reflections from a load HALF a wavelength away.

00Two common methods are to use 360 degrees, or 2 p radians.

00The beam expanders had reduced the divergence to just less than 0.4 milli radians.

00For the most commonly used cut of silicon crystal, this angular range is approximately 3 micro radians.

00radians for angles.

00right ascension in radians.

00ASN A function giving the arc sine of its argument in radians.

00The rate at which work is done on a particular axle is measured by the product where T is the torque or turning moment exerted on the axle by the motor or mechanism applied to it for this purpose, and is the angular velocity of the axle in radians per second.

00diameter, w = 44/2 = 22 radians per second, and therefore T= 440,000/22=20,000 lb ft.

00w=2V /D (5) Here D is in feet, V in feet per second and w in radians per second.

00If the speed is given in miles per hour, S say, V =1.466 S (6) The revolutions of the axle per second, n, are connected with the radians turned through per second by the relation n =w/27r = w/6.38 (7) § 2.

00When the force acts on a body free to turn about a fixed axis only, it is convenient to express the work done by the transformed product TO, where T is the average turning moment or torque acting to produce the displacement 0 radians.

00The general theory of this kind of brake is as follows: - Let F be the whole frictional resistance, r the common radius of the rubbing surfaces, W the force which holds the brake from turning and whose line of action is at a perpendicular distance R from the axis of the shaft, N the revolutions of the shaft per minute, co its angular velocity in radians per second; then, assuming that the adjustments are made so that the engine runs steadily at a uniform speed, and that the brake is held still, clear of the stops and without oscillation, by W, the torque T exerted by the engine is equal to the frictional torque Fr acting at the brake surfaces, and this is measured by the statical moment of the weight W about the axis of revolution; that is T =Fr=WR...

00The ratio p is given by e"` e, where e= 2.718; µ is the coefficient of friction and 0 the angle, measured in radians,, subtended by the arc of contact between the rope and the wheel.

00Niven, F.R.S., called the degree table, determines the change of direction of motion of the shot while the velocity changes from V to v, to shot flying nearly horizontally, To explain the theory of this table, suppose the tangent at the point of the trajectory, where the velocity is v, to make an angle i radians with the horizon.

00w /nd2 = C, (16) S(V) - S(v) = for cos i to be undistinguishable from unity, equation (16) becomes In a problem of direct fire, where the trajectory is flat enough (19) v(di/dt=g, or di/dt=g/v; so that we can put (20) Ai/ At.t = g/v, if v denotes the mean velocity during the small finite interval of time At, during which the direction of motion of the shot changes through Ai radians.

00For some purposes it is preferable to retain the circular measure, i radians, as being undistinguishable from sin i and tan i when i is small as in direct fire.

00di g d tan i g dt - v cos i ' and now (53) dx d 2 y dy d2xdx Cif dt 2 dt dt2 _ - _ gdt' and this, in conjunction with (46) dy _ d y tan i = dx dt/dt' (47)di d 2 d d 2 x dx sec 2 idt = (ctt d t - at dt2) I (dt), reduces to (48) Integrating from any initial pseudo-velocity U, (60) du t _ C U uf(u) x= C cos n f u (u) y=C sin n ff (a); and supposing the inclination i to change from 0, to 8 radians over the arc.

00The ~ force required to constrain the weight a to move in a circle, that is the de viating force, produces an equal and -~ opposite reaction on the shaft, whose X amount F is equal to the centrifugal force Wa2 rig Ib, where r is the radius of the mass centre of the weight, and - a is its angular velocity in radians per second.

00When you are doing calculus you always use radians.

00This means that in any circle, there are 2p radians.

00Subsequent rendering is rotated by the specified radians relative to the previous origin.

00It will be reflected undergoing a phase change of pi/2 radians?

00This means that 360° is the same as 2pi radians or 180° is pi radians.

00Two common methods are to use 360 degrees, or 2 p radians.

00The beam expanders had reduced the divergence to just less than 0.4 milli radians.

00For the most commonly used cut of silicon crystal, this angular range is approximately 3 micro radians.

00The internal units of the variables are bohr for bond lengths and radians for angles.

00HOUR The size of one hour of right ascension in radians.

00ASN A function giving the arc sine of its argument in radians.

00

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