Boomerang as Vector Rotation Example

作为矢量旋转示例的回旋

The returning trajectory of a boomerang involves the aerodynamic lift of its airfoil shape plus the gyroscopic precession associated with its rapid spin. The precession redirects the airfoil so that it "flys" around the returning path.

The three diagrams above address the nature of the boomerang's flight. Click on one of the diagrams for further details about the boomerang.

飞盘返回轨迹涉及其机翼形状的空气动力学升力以及与其快速自旋相关的陀螺效应。这种预cession使机翼方向发生偏转，使其沿着返回路径“飞行”。上方的三个图展示了飞盘飞行的性质。点击其中一个图以获取更多关于飞盘的详细信息。

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Vector rotation examples

索引矢量旋转示例

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Boomerang

回旋镖

A boomerang is an example of gyroscopic precession. The popular variety at left is thrown by grasping it at the bottom and throwing it so that it rotates about an axis perpendicular to the plane shown. This plane is tilted enough from the vertical enough to get enough lift to keep the boomerang airborne. The cross-section at each end is shaped as an airfoil with its leading edge pointed so that it is facing forward when that end is at the top. The airfoil causes it to "fly" in the direction thrown, but the higher aerodynamic lift on the top end creates a torque which causes the angular momentum to precess, gradually changing the heading of the airfoil and moving it in the curved path.

飞盘是一个陀螺效应的实例。图中左侧的常见种类是通过抓住底部并以使它绕垂直于所示平面的轴旋转的方式投掷的。这个平面倾斜足够多，以产生足够的升力，使飞盘保持在空中。每个端面的横截面都设计成机翼形状，其前缘指向前方，当该端面在上方时，前缘朝前。机翼使它向投掷方向飞行，但上方端面的较高空气动力学升力会产生一个力矩，导致角动量发生进动，逐渐改变机翼的方向，使其沿曲线路径移动。

Index

Vector rotation examples

索引矢量旋转示例

HyperPhysics***** Mechanics *****Rotational motion

HyperPhysics ***** 力学 ***** 转动运动

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Boomerang

回旋镖

A boomerang is an example of gyroscopic precession. The boomerang throw gives it angular momentum. This angular momentum is caused to precess by the fact that the top edge is traveling faster with respect to the air and gets more lift. This produces a torque on the spinning boomerang which continually rotates it's axis of spin, changing the heading of the airfoil so that it follows the curved path.

飞盘是一个陀螺效应的实例。投掷飞盘使其获得角动量。这种角动量由于飞盘顶部边缘相对于空气的速度更快，从而获得更多的升力而产生进动。这会产生一个作用在旋转飞盘上的力矩，使飞盘的旋转轴持续旋转，改变机翼的航向，使其沿着曲线路径飞行。

Index

Vector rotation examples

索引矢量旋转示例

HyperPhysics***** Mechanics *****Rotational motion

HyperPhysics ***** 力学 ***** 转动运动

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Boomerang

回旋镖

A boomerang is an example of gyroscopic precession. The throw of the boomerang gives it an angular velocity perpendicular to its path as shown. The cross-section of the boomerang is an airfoil which gives it more lift on the top, leading edge than on the bottom. This gives it a torque in the sense shown, which always acts to precess the boomerang counterclockwise as seen from above. Since it will tend to "fly" in the direction of the airfoil, the precession causes it to fly in a curved path, circling back toward the thrower.

My experience with throwing a large boomerang was that it came back to me at such high speed that I was glad I had a tree to get behind for the return!

我扔大飞盘的经历是，它以如此高的速率返回，使我庆幸有树可以靠在后面接住它！

飞盘是陀螺效应预旋的一个例子。投掷飞盘使其获得一个垂直于其飞行路径的角速度，如图所示。飞盘的横截面是一个机翼形状，使其上缘比下缘产生更多的升力。这会产生一个如图所示的力矩，始终使飞盘逆时针旋转，从上方看。由于飞盘倾向于“飞向”机翼的方向，预旋使其沿曲线路径飞行，最终返回给投掷者。

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索引

HyperPhysics***** Mechanics *****Rotational motion

HyperPhysics ***** 力学 ***** 转动运动

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Boomerang Structure

回旋结构

The structure of a boomerang is such that each end forms an airfoil heading into the wind when it is at the top of its motion. Therefore the sideways "lift" force is always greater on the top of the spinning structure.

A boomerang is an example of gyroscopic precession. The throw of the boomerang gives it an angular velocity perpendicular to its path. The cross-section of the boomerang is an airfoil which gives it more lift on the top, leading edge than on the bottom. This gives it a torque , which always acts to precess the boomerang counterclockwise as seen from above. Since it will tend to "fly" in the direction of the airfoil, the precession causes it to fly in a curved path, circling back toward the thrower.

回旋飞盘的结构是这样的，当它处于运动的最高点时，每个端部都形成一个迎风的机翼。因此，飞盘在旋转结构的顶部总是产生更大的侧向“升力”力。回旋飞盘是陀螺效应预旋的一个例子。投掷飞盘使其获得一个垂直于其运动路径的角速度。飞盘的横截面是一个机翼形状，使其在上缘产生比下缘更大的升力。这会产生一个力矩，总是使飞盘逆时针旋转（从上方看）。由于它倾向于“飞”向机翼的方向，预旋使其沿曲线路径飞行，最终返回给投掷者。

Index

索引

HyperPhysics***** Mechanics *****Rotational motion

HyperPhysics ***** 力学 ***** 转动运动

R Nave

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