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Page "Centripetal force" ¶ 67
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angle and bank
By choosing the angle of bank to match the car's speed around the curve, the car seat transmits only a perpendicular force to the passengers, and the passengers no longer feel a need to lean nor feel a sideways push by the car seats or doors.
The object is to find what angle the bank must have so the ball does not slide off the road.
Since each cylinder bank is essentially a straight-6, this configuration has perfect primary and secondary balance no matter which V angle is used and therefore needs no balance shafts.
The most efficient cylinder bank angle for a V6 is 60 degrees, minimizing size and vibration.
The Buick V6 was notable because it introduced the concept of uneven firing, as a result of using the 90 ° cylinder bank angle and shared-crankpin crankshaft design found in the V8 engine ( although the V6 crankshaft does have 3 crank throws set at 120 ° apart, rather than 90 ° apart as found in the V8 ).
The Petersen is renowned for its trademark 180 degree turn and 270 degree bank angle, which is a compulsory feature on all Winter Olympic runs.
They are typically placed in alluvial rivers perpendicular, or at an angle, to the bank of the channel or the revetment, and are used widely along coastlines.
The location of Stirling Bridge at the date of the battle is not known with certainty, but four stone piers have been found underwater just north () and at an angle to the extant 15th century bridge, along with man-made stonework on one bank in line with the piers.
Once the desired angle of bank ( degree of rotation on the longitudinal axis ) is obtained, the pilot uses opposite aileron to prevent the angle of bank from increasing due to this variation in lift across the wing span.
A fixed-wing aircraft can be made to stall in any pitch attitude or bank angle or at any airspeed but is commonly practiced by reducing the speed to the unaccelerated stall speed, at a safe altitude.
Illustration of a turning flight stall, occurring during a co-ordinated turn with progressively-increasing angle of bank.
The angle between cylinder banks is described as the bank angle.
Narrow-angle vee engines, such as the Lancia V4 and the Volkswagen VR6, have such a narrow bank angle that their cylinders are combined into a single cylinder block.
An upper surface spoiler which also acts to reduce lift ( equivalent to deflecting an aileron upwards ), so causing the aircraft to bank in the direction of the turn-the angle of roll causes the wing lift to act in the direction of turn, reducing the amount of drag required to turn the aircraft's longitudinal axis.
Using a five-throw crankshaft and 72 ° bank angle the firing order can be made even, and the two balanced shafts do not balance each other completely, but are combined into a single A 36 ° degree bank angle and a 108 ° flying arm crankshaft would allow even firing without a balance shaft and smaller counterweights, but would be impractical.
The bank of cylinders may be oriented at any angle, and where the bank is inclined to the vertical, the engine is sometimes called a slant-six.

angle and θ
In the Euclidean plane, the angle θ between two vectors u and v is related to their dot product and their lengths by the formula
On the plane the most common alternative is polar coordinates, where every point is represented by its radius r from the origin and its angle θ.
where θ is the true angle SEE ′, is the apparent angle S ′ EE ′, and is the relative speed between the presumed fixed frame of reference ( such as heliocentric ) and the observer's one.
Using F for the drag force, ρ for the density, S for the area of the flat plate, V for the flow velocity, and θ for the inclination angle, his law was expressed as
where θ < sub > r, p </ sub > is the angle between r and p measured from r to p ; an important distinction because without it, the sign of the cross product would be meaningless.
The curve is banked at an angle θ from the horizontal, and the surface of the road is considered to be slippery.
When the angle θ does not satisfy the above condition, the horizontal component of force exerted by the road does not provide the correct centripetal force, and an additional frictional force tangential to the road surface is called upon to provide the difference.
The direction of u < sub > r </ sub > is described by θ, the angle between the x-axis and the unit vector, measured counterclockwise from the x-axis.
By moving the unit vectors so their tails coincide, as seen in the circle at the left of the image above, it is seen that u < sub > ρ </ sub > and u < sub > θ </ sub > form a right-angled pair with tips on the unit circle that trace back and forth on the perimeter of this circle with the same angle θ ( t ) as r ( t ).
Using the tangent vector, the angle θ of the tangent to the curve is given by:
The path difference is given by so that the minimum intensity occurs at an angle θ < sub > min </ sub > given by
* θ < sub > i </ sub > is the angle at which the light is incident,
: θ is the angle of the diffracted wave.
The ( non-reflex ) angle θ ( 0 ° ≤ θ ≤ 180 °) between x and y is then given by
So the parameters are: a — distance from center C to either vertex b — length of a perpendicular segment from each vertex to the asymptotes c — distance from center C to either Focus point, F < sub > 1 </ sub > and F < sub > 2 </ sub >, and θangle formed by each asymptote with the transverse axis.
Consistent with the symmetry of the hyperbola, if the transverse axis is aligned with the x-axis of a Cartesian coordinate system, the slopes of the asymptotes are equal in magnitude but opposite in sign, ±, where b = a × tan ( θ ) and where θ is the angle between the transverse axis and either asymptote.
In 1805, Thomas Young defined the contact angle θ by analyzing the forces acting on a fluid droplet resting on a solid surface surrounded by a gas.
The contact angle, θ < sub > C </ sub >, is the angle formed by a liquid at the three-phase boundary where the liquid, gas, and solid intersect.
A droplet resting on a solid surface and surrounded by a gas forms a characteristic contact angle θ.

angle and approaches
When the angle approaches 0 ° or 180 °, then the disulfide is a significantly better oxidant.
The above analysis is a good approximation as the angle approaches zero.
* As winter solstice approaches, the angle at which the sun rises and sets progressively moves further toward the South and the daylight hours will become shorter
Some of the city is relatively flat bottom land located along the river valley while neighborhoods are located on rather steep terrain, some of which approaches the angle of repose.
As the ratio increases for input frequencies much greater than the corner frequency, the phase angle asymptotically approaches90 degrees.
For instance, the plot provides information on the difference between the number of poles and zeros of the transfer function by the angle at which the curve approaches the origin.
Although care should be taken ( due to degeneracy as the quaternion approaches the identity quaternion or the sine of the angle approaches zero ) the axis and angle can be extracted via:
As the angle of rotation grows, the sphere grows, until the angle of rotation reaches 180 degrees, at which point the sphere begins to shrink, becoming a point as the angle approaches 360 degrees ( or zero degrees from the negative direction ).
OLED pixel colours appear correct and unshifted, even as the viewing angle approaches 90 ° from normal.
In disc phyllotaxis ( sunflower, daisy ), the mesh of spirals occurs in Fibonacci numbers because divergence ( angle of succession in a single spiral arrangement ) approaches the golden ratio.
To replace this missing sensory cue, the angle of attack is measured, and when it approaches the critical stall point a " stick shaker " ( an unbalanced rotating mass ) is engaged which simulates the response of a simpler control system.
As the angle of rotation grows, the sphere grows, until the angle of rotation reaches 180 degrees, at which point the sphere begins to shrink, becoming a point as the angle approaches 360 degrees ( or zero degrees from the negative direction ).
When the acoustic wave approaches the surface at an angle, the area is taken as the area times the projection of the wave direction upon the normal of the surface.
An early description of the problem in computer graphics shows two common approaches ( ray casting and angle summation ) in use as early as 1974.
Given these approaches, the bowler can hope to both intimidate the batsman somewhat, and possibly have the ball deflect off the bat at an awkward angle and produce a catch for a nearby fielder.
In 1957 a short deviation immediately west of Linden eliminated two narrow overpasses of the railway, both of which had right angle bend approaches from both directions.

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