Coriolis force - Revision history

FredericBernard: Tidied page up, added see also section

2017-09-03T13:11:13Z

Tidied page up, added see also section

DavidB4-bot: Spelling, Grammar, and General Cleanup, typos fixed: is know as → is known as

2017-08-31T14:53:23Z

Spelling, Grammar, and General Cleanup, typos fixed: is know as → is known as

FredericBernard: Grouped repeated Britannica references together

2017-08-23T12:53:39Z

Grouped repeated Britannica references together

FredericBernard: Added image of Hurricane formation

2017-08-23T12:51:16Z

Added image of Hurricane formation

DavidB4: Coriolis force and Coriolis effect seem to be one and the same. Merged, so removing link-backs

2017-08-22T02:37:45Z

Coriolis force and Coriolis effect seem to be one and the same. Merged, so removing link-backs

DavidB4: merging from Coriolis effect with a quick blurb on what it actually is.

2017-08-22T02:34:53Z

merging from Coriolis effect with a quick blurb on what it actually is.

SamHB: /* See Also */ Let's do this stuff consistently.

2017-08-22T02:20:27Z

See Also: Let's do this stuff consistently.

SamHB: /* Mathematics */ Sorry, missed that one.

2017-08-22T00:38:41Z

Mathematics: Sorry, missed that one.

SamHB: /* Mathematics */ Sorry, it's to the right in the Northern hemisphere. This is counterintuitive. See talk.

2017-08-22T00:37:50Z

Mathematics: Sorry, it's to the right in the Northern hemisphere. This is counterintuitive. See talk.

FredericBernard: Expanded the page, explained how it is relevant to hurricanes and typhoons

2017-08-11T12:06:46Z

Expanded the page, explained how it is relevant to hurricanes and typhoons

@@ Line 1: / Line 1: @@
 The '''Coriolis force''' is one of three [[fictitious forces]] that act in rotating [[frame of reference|frames of reference]] such as the [[earth]].<ref name=britannica>[https://www.britannica.com/science/Coriolis-force britannica.com]</ref> It is the cause of the perceived bend in  the flight path of airborne objects.<ref>Wile, Dr. Jay L. ''Exploring Creation With Physical Science''. Apologia Educational Ministries, Inc. 1999, 2000</ref> This is known as a fictitious becase it is not derived from a physical force such as [[gravity]] or [[electromagnetism]]. While [[Newton's Laws of Motion|Newton's laws of motion]] are strictly only valid in [[inertial frame of reference|inertial]] (non-accelerating) frames of reference, by including fictitious forces such as the Coriolis force as additional forces Newton's second law can be used to describe the motion of objects when viewed from rotating reference frames. A commonly given example of the Coriolis force in action is how [[hurricane]]s in the [[Northern hemisphere]] rotate counterclockwise while cyclones and typhoons in the [[Southern hemisphere]] rotate clockwise.<ref>[http://www.metoffice.gov.uk/learning/learn-about-the-weather/how-weather-works/coriolis-effect metoffice.com]</ref> The other two fictitious forces that exist in rotating frames are the centrifugal and Euler forces.<br />
-The Coriolis Effect was described by French engineer-mathematician [[Gustave-Gaspard Coriolis]] in 1835.<ref name=britannica/>
+The Coriolis Effect was described by French engineer-mathematician Gustave-Gaspard Coriolis in 1835.<ref name=britannica/>
 ==Mathematics==
-[[File:Coriolis effect10.svg.png|thumb|right|200px|Hurricane formation in the Northern hemisphere: the Coriolis force (red) causes deflection of air currents. Blue arrows represent the pressure gradient force.]]The [[acceleration]] of an object due to the Coriolis force, a<sub>c</sub> can be described mathematically by:
+[[File:Coriolis effect10.svg.png|thumb|right|200px|Hurricane formation in the Northern hemisphere: the Coriolis force (red) causes deflection of air currents. Blue arrows represent the pressure gradient force.]]The Coriolis force acting on a mass m, can be described mathematically by:
-<math>
+:<math>
-\vec{a_c} = -2 \vec{\omega} \times \vec{v}
+\vec{F} = -2 m \vec{\omega} \times \vec{v}
 </math>
@@ Line 13: / Line 13: @@
 ==References==
-<references/>
+{{reflist}}
 [[Category:Physics]]
 [[Category:Mechanics]]

@@ Line 1: / Line 1: @@
-The '''Coriolis force''' is one of three [[fictitious forces]] that act in rotating [[frame of reference|frames of reference]] such as the [[earth]].<ref name=britannica>[https://www.britannica.com/science/Coriolis-force britannica.com]</ref> It is the cause of the perceived bend in  the flight path of airborne objects.<ref>Wile, Dr. Jay L. ''Exploring Creation With Physical Science''. Apologia Educational Ministries, Inc. 1999, 2000</ref> This is know as a fictitious becase it is not derived from a physical force such as [[gravity]] or [[electromagnetism]]. While [[Newton's Laws of Motion|Newton's laws of motion]] are strictly only valid in [[inertial frame of reference|inertial]] (non-accelerating) frames of reference, by including fictitious forces such as the Coriolis force as additional forces Newton's second law can be used to describe the motion of objects when viewed from rotating reference frames. A commonly given example of the Coriolis force in action is how [[hurricane]]s in the [[Northern hemisphere]] rotate counterclockwise while cyclones and typhoons in the [[Southern hemisphere]] rotate clockwise.<ref>[http://www.metoffice.gov.uk/learning/learn-about-the-weather/how-weather-works/coriolis-effect metoffice.com]</ref> The other two fictitious forces that exist in rotating frames are the centrifugal and Euler forces.<br />
+The '''Coriolis force''' is one of three [[fictitious forces]] that act in rotating [[frame of reference|frames of reference]] such as the [[earth]].<ref name=britannica>[https://www.britannica.com/science/Coriolis-force britannica.com]</ref> It is the cause of the perceived bend in  the flight path of airborne objects.<ref>Wile, Dr. Jay L. ''Exploring Creation With Physical Science''. Apologia Educational Ministries, Inc. 1999, 2000</ref> This is known as a fictitious becase it is not derived from a physical force such as [[gravity]] or [[electromagnetism]]. While [[Newton's Laws of Motion|Newton's laws of motion]] are strictly only valid in [[inertial frame of reference|inertial]] (non-accelerating) frames of reference, by including fictitious forces such as the Coriolis force as additional forces Newton's second law can be used to describe the motion of objects when viewed from rotating reference frames. A commonly given example of the Coriolis force in action is how [[hurricane]]s in the [[Northern hemisphere]] rotate counterclockwise while cyclones and typhoons in the [[Southern hemisphere]] rotate clockwise.<ref>[http://www.metoffice.gov.uk/learning/learn-about-the-weather/how-weather-works/coriolis-effect metoffice.com]</ref> The other two fictitious forces that exist in rotating frames are the centrifugal and Euler forces.<br />
 The Coriolis Effect was described by French engineer-mathematician [[Gustave-Gaspard Coriolis]] in 1835.<ref name=britannica/>
 ==Mathematics==
-[[File:Coriolis effect10.svg.png|thumb|right|200px|Hurricane formation in the Northern hemisphere: the Coriolis force (red) causes deflection of air currents. Blue arrows represent the pressure gradient force. ]]The [[acceleration]] of an object due to the Coriolis force, a<sub>c</sub> can be described mathematically by:
+[[File:Coriolis effect10.svg.png|thumb|right|200px|Hurricane formation in the Northern hemisphere: the Coriolis force (red) causes deflection of air currents. Blue arrows represent the pressure gradient force.]]The [[acceleration]] of an object due to the Coriolis force, a<sub>c</sub> can be described mathematically by:
 <math>

@@ Line 1: / Line 1: @@
-The '''Coriolis force''' is one of three [[fictitious forces]] that act in rotating [[frame of reference|frames of reference]] such as the [[earth]].<ref>[https://www.britannica.com/science/Coriolis-force britannica.com]</ref> It is the cause of the perceived bend in  the flight path of airborne objects.<ref>Wile, Dr. Jay L. ''Exploring Creation With Physical Science''. Apologia Educational Ministries, Inc. 1999, 2000</ref> This is know as a fictitious becase it is not derived from a physical force such as [[gravity]] or [[electromagnetism]]. While [[Newton's Laws of Motion|Newton's laws of motion]] are strictly only valid in [[inertial frame of reference|inertial]] (non-accelerating) frames of reference, by including fictitious forces such as the Coriolis force as additional forces Newton's second law can be used to describe the motion of objects when viewed from rotating reference frames. A commonly given example of the Coriolis force in action is how [[hurricane]]s in the [[Northern hemisphere]] rotate counterclockwise while cyclones and typhoons in the [[Southern hemisphere]] rotate clockwise.<ref>[http://www.metoffice.gov.uk/learning/learn-about-the-weather/how-weather-works/coriolis-effect metoffice.com]</ref> The other two fictitious forces that exist in rotating frames are the centrifugal and Euler forces.<br />
+The '''Coriolis force''' is one of three [[fictitious forces]] that act in rotating [[frame of reference|frames of reference]] such as the [[earth]].<ref name=britannica>[https://www.britannica.com/science/Coriolis-force britannica.com]</ref> It is the cause of the perceived bend in  the flight path of airborne objects.<ref>Wile, Dr. Jay L. ''Exploring Creation With Physical Science''. Apologia Educational Ministries, Inc. 1999, 2000</ref> This is know as a fictitious becase it is not derived from a physical force such as [[gravity]] or [[electromagnetism]]. While [[Newton's Laws of Motion|Newton's laws of motion]] are strictly only valid in [[inertial frame of reference|inertial]] (non-accelerating) frames of reference, by including fictitious forces such as the Coriolis force as additional forces Newton's second law can be used to describe the motion of objects when viewed from rotating reference frames. A commonly given example of the Coriolis force in action is how [[hurricane]]s in the [[Northern hemisphere]] rotate counterclockwise while cyclones and typhoons in the [[Southern hemisphere]] rotate clockwise.<ref>[http://www.metoffice.gov.uk/learning/learn-about-the-weather/how-weather-works/coriolis-effect metoffice.com]</ref> The other two fictitious forces that exist in rotating frames are the centrifugal and Euler forces.<br />
-The Coriolis Effect was described by French engineer-mathematician [[Gustave-Gaspard Coriolis]] in 1835.<ref>[https://www.britannica.com/science/Coriolis-force britannica.com]</ref>
+The Coriolis Effect was described by French engineer-mathematician [[Gustave-Gaspard Coriolis]] in 1835.<ref name=britannica/>
 ==Mathematics==

@@ Line 3: / Line 3: @@
 ==Mathematics==
-The [[acceleration]] of an object due to the Coriolis force, a<sub>c</sub> can be described mathematically by:
+[[File:Coriolis effect10.svg.png|thumb|right|200px|Hurricane formation in the Northern hemisphere: the Coriolis force (red) causes deflection of air currents. Blue arrows represent the pressure gradient force. ]]The [[acceleration]] of an object due to the Coriolis force, a<sub>c</sub> can be described mathematically by:
 <math>

@@ Line 10: / Line 10: @@
 where ω is the angular velocity of the rotating reference frame and v is the [[velocity]] of the object when viewed from an [[inertial frame of reference]] (non-accelerating). The [[cross product]] means that the Coriolis force acts at right angles to both the velocity of the object and angular velocity of the reference frame.
-This can be used to explain the rotation directions of [[hurricane]]s, cyclones and typhoons. On earth, the angular velocity [[vector]] points up out of the North pole. Supposing the wind is blowing from the South in the Northern hemisphere, the Coriolis force will act to bend it to the right when viewed from above. This means tropical storms in the Northern hemisphere (hurricanes) will rotate counterclockwise. Similarly in the Southern hemisphere and air current travelling South will be bent to the left and so cyclones and typhoons in the Southern hemisphere will rotate clockwise. The deflection of something by the Coriolis force is known as the [[Coriolis effect]].
+This can be used to explain the rotation directions of [[hurricane]]s, cyclones and typhoons. On earth, the angular velocity [[vector]] points up out of the North pole. Supposing the wind is blowing from the South in the Northern hemisphere, the Coriolis force will act to bend it to the right when viewed from above. This means tropical storms in the Northern hemisphere (hurricanes) will rotate counterclockwise. Similarly in the Southern hemisphere and air current travelling South will be bent to the left and so cyclones and typhoons in the Southern hemisphere will rotate clockwise. The deflection of something by the Coriolis force is known as the Coriolis effect.
 ==References==
 <references/>
 [[Category:Physics]]
 [[Category:Mechanics]]

← Older revision		Revision as of 02:34, August 22, 2017
Line 1:		Line 1:
−	The '''Coriolis force''' is one of three [[fictitious forces]] that act in rotating [[frame of reference\|frames of reference]] such as the [[earth]].<ref>[https://www.britannica.com/science/Coriolis-force britannica.com]</ref> It is ~~fictitious~~ in the ~~sense that~~ it ~~does~~ not ~~derive~~ from a physical force such as [[gravity]] or [[electromagnetism]]. While [[Newton's Laws of Motion\|Newton's laws of motion]] are strictly only valid in [[inertial frame of reference\|inertial]] (non-accelerating) frames of reference, by including fictitious forces such as the Coriolis force as additional forces Newton's second law can be used to describe the motion of objects when viewed from rotating reference frames. A commonly given example of the Coriolis force in action is how [[hurricane]]s in the [[Northern hemisphere]] rotate counterclockwise while cyclones and typhoons in the [[Southern hemisphere]] rotate clockwise.<ref>[http://www.metoffice.gov.uk/learning/learn-about-the-weather/how-weather-works/coriolis-effect metoffice.com]</ref> The other two fictitious forces that exist in rotating frames are the centrifugal and Euler forces.	+	The '''Coriolis force''' is one of three [[fictitious forces]] that act in rotating [[frame of reference\|frames of reference]] such as the [[earth]].<ref>[https://www.britannica.com/science/Coriolis-force britannica.com]</ref> It is the cause of the perceived bend in the flight path of airborne objects.<ref>Wile, Dr. Jay L. ''Exploring Creation With Physical Science''. Apologia Educational Ministries, Inc. 1999, 2000</ref> This is know as a fictitious becase it is not derived from a physical force such as [[gravity]] or [[electromagnetism]]. While [[Newton's Laws of Motion\|Newton's laws of motion]] are strictly only valid in [[inertial frame of reference\|inertial]] (non-accelerating) frames of reference, by including fictitious forces such as the Coriolis force as additional forces Newton's second law can be used to describe the motion of objects when viewed from rotating reference frames. A commonly given example of the Coriolis force in action is how [[hurricane]]s in the [[Northern hemisphere]] rotate counterclockwise while cyclones and typhoons in the [[Southern hemisphere]] rotate clockwise.<ref>[http://www.metoffice.gov.uk/learning/learn-about-the-weather/how-weather-works/coriolis-effect metoffice.com]</ref> The other two fictitious forces that exist in rotating frames are the centrifugal and Euler forces.<br />
		+	The Coriolis Effect was described by French engineer-mathematician [[Gustave-Gaspard Coriolis]] in 1835.<ref>[https://www.britannica.com/science/Coriolis-force britannica.com]</ref>

	==Mathematics==		==Mathematics==

@@ Line 9: / Line 9: @@
 where ω is the angular velocity of the rotating reference frame and v is the [[velocity]] of the object when viewed from an [[inertial frame of reference]] (non-accelerating). The [[cross product]] means that the Coriolis force acts at right angles to both the velocity of the object and angular velocity of the reference frame.
-This can be used to explain the rotation directions of [[hurricane]]s, cyclones and typhoons. On earth, the angular velocity [[vector]] points up out of the North pole. Supposing the wind is blowing from the South in the Northern hemisphere, the Coriolis force will act to bend it to the left when viewed from above. This means tropical storms in the Northern hemisphere (hurricanes) will rotate counterclockwise. Similarly in the Southern hemisphere and air current travelling South will be bent to the right and so cyclones and typhoons in the Southern hemisphere will rotate clockwise. The deflection of something by the Coriolis force is known as the [[Coriolis effect]].
+This can be used to explain the rotation directions of [[hurricane]]s, cyclones and typhoons. On earth, the angular velocity [[vector]] points up out of the North pole. Supposing the wind is blowing from the South in the Northern hemisphere, the Coriolis force will act to bend it to the right when viewed from above. This means tropical storms in the Northern hemisphere (hurricanes) will rotate counterclockwise. Similarly in the Southern hemisphere and air current travelling South will be bent to the right and so cyclones and typhoons in the Southern hemisphere will rotate clockwise. The deflection of something by the Coriolis force is known as the [[Coriolis effect]].
 ==References==

← Older revision		Revision as of 12:06, August 11, 2017
Line 1:		Line 1:
−	~~#redirect~~ [[Coriolis effect]]	+	The '''Coriolis force''' is one of three [[fictitious forces]] that act in rotating [[frame of reference\|frames of reference]] such as the [[earth]].<ref>[https://www.britannica.com/science/Coriolis-force britannica.com]</ref> It is fictitious in the sense that it does not derive from a physical force such as [[gravity]] or [[electromagnetism]]. While [[Newton's Laws of Motion\|Newton's laws of motion]] are strictly only valid in [[inertial frame of reference\|inertial]] (non-accelerating) frames of reference, by including fictitious forces such as the Coriolis force as additional forces Newton's second law can be used to describe the motion of objects when viewed from rotating reference frames. A commonly given example of the Coriolis force in action is how [[hurricane]]s in the [[Northern hemisphere]] rotate counterclockwise while cyclones and typhoons in the [[Southern hemisphere]] rotate clockwise.<ref>[http://www.metoffice.gov.uk/learning/learn-about-the-weather/how-weather-works/coriolis-effect metoffice.com]</ref> The other two fictitious forces that exist in rotating frames are the centrifugal and Euler forces.
		+
		+	==Mathematics==
		+	The [[acceleration]] of an object due to the Coriolis force, a<sub>c</sub> can be described mathematically by:
		+
		+	<math>
		+	\vec{a_c} = -2 \vec{\omega} \times \vec{v}
		+	</math>
		+
		+	where ω is the angular velocity of the rotating reference frame and v is the [[velocity]] of the object when viewed from an [[inertial frame of reference]] (non-accelerating). The [[cross product]] means that the Coriolis force acts at right angles to both the velocity of the object and angular velocity of the reference frame.
		+	This can be used to explain the rotation directions of [[hurricane]]s, cyclones and typhoons. On earth, the angular velocity [[vector]] points up out of the North pole. Supposing the wind is blowing from the South in the Northern hemisphere, the Coriolis force will act to bend it to the left when viewed from above. This means tropical storms in the Northern hemisphere (hurricanes) will rotate counterclockwise. Similarly in the Southern hemisphere and air current travelling South will be bent to the right and so cyclones and typhoons in the Southern hemisphere will rotate clockwise. The deflection of something by the Coriolis force is known as the [[Coriolis effect]].
		+
		+	==References==
		+	<references/>
		+
		+	==See Also==
		+	[[Coriolis effect]]
		+
		+	[[Category:Physics]]
		+	[[Category:Mechanics]]