See angular velocity on Wiktionary
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In the same manner, we have a velocity of turning, ω=dθ/dt, which tells us how much the angle changes in a second, just as v=ds/dt describes how fast a thing moves, or how far it moves in a second. If the angle is measured in radians, then the angular velocity ω will be so and so many radians per second. The greater the angular velocity, the faster the object is turning, the faster the angle changes." }, { "text": "Wikipedia: Differential\nA differential is a device, usually, but not necessarily, employing gears, which is connected to the outside world by three shafts, through which it transmits torque and rotation. The gears or other components make the three shafts rotate in such a way that a=pb+qc, where a, b, and c are the angular velocities of the three shafts, and p and q are constants. … In automobiles and other wheeled vehicles, a differential allows the driving road wheels to rotate at different speeds. This is necessary when the vehicle turns, making the wheel that is traveling around the outside of the turning curve roll farther and faster than the other. The engine is connected to the shaft rotating at angular velocity a. The driving wheels are connected to the other two shafts, and p and q are equal.ᵂᴾ" } ], "glosses": [ "The angle turned, per unit time, by a body rotating about an axis; the rate of rotation through an angle." ], "id": "en-angular_velocity-en-noun-SO50qLLn", "links": [ [ "mathematics", "mathematics" ], [ "physics", "physics" ], [ "rotation", "rotation" ] ], "raw_glosses": [ "(mathematics, physics) The angle turned, per unit time, by a body rotating about an axis; the rate of rotation through an angle." ], "related": [ { "word": "angle" }, { "word": "angular acceleration" }, { "word": "radian" } ], "topics": [ "mathematics", "natural-sciences", "physical-sciences", "physics", "sciences" ], "translations": [ { "code": "hy", "lang": "Armenian", "roman": "ankyunayin aragutʻyun", "sense": "angle turned in a given time", "word": "անկյունային արագություն" }, { "code": "cmn", "lang": "Chinese Mandarin", "roman": "jiǎosùdù", "sense": "angle turned in a given time", "word": "角速度" }, { "code": "cs", "lang": "Czech", "sense": "angle turned in a given time", "tags": [ "feminine" ], "word": "úhlová rychlost" }, { "code": "da", "lang": "Danish", "sense": "angle turned in a given time", "tags": [ "common-gender" ], "word": "vinkelhastighed" }, { "code": "nl", "lang": "Dutch", "sense": "angle turned in a given time", "tags": [ "feminine" ], "word": "hoeksnelheid" }, { "code": "fi", "lang": "Finnish", "sense": "angle turned in a given time", "word": "kulmanopeus" }, { "code": "fr", "lang": "French", "sense": "angle turned in a given time", "tags": [ "feminine" ], "word": "vitesse angulaire" }, { "code": "de", "lang": "German", "sense": "angle turned in a given time", "tags": [ "feminine" ], "word": "Winkelgeschwindigkeit" }, { "code": "hi", "lang": "Hindi", "roman": "koṇīya veg", "sense": "angle turned in a given time", "tags": [ "masculine" ], "word": "कोणीय वेग" }, { "code": "hu", "lang": "Hungarian", "sense": "angle turned in a given time", "word": "szögsebesség" }, { "code": "is", "lang": "Icelandic", "sense": "angle turned in a given time", "tags": [ "masculine" ], "word": "hornhraði" }, { "code": "it", "lang": "Italian", "sense": "angle turned in a given time", "tags": [ "feminine" ], "word": "velocità angolare" }, { "alt": "かくそくど", "code": "ja", "lang": "Japanese", "roman": "kakusokudo", "sense": "angle turned in a given time", "word": "角速度" }, { "code": "ko", "lang": "Korean", "roman": "gaksokdo", "sense": "angle turned in a given time", "word": "각속도" }, { "code": "pl", "lang": "Polish", "sense": "angle turned in a given time", "tags": [ "feminine" ], "word": "prędkość kątowa" }, { "code": "pt", "lang": "Portuguese", "sense": "angle turned in a given time", "tags": [ "feminine" ], "word": "velocidade angular" }, { "code": "ru", "lang": "Russian", "roman": "uglovája skórostʹ", "sense": "angle turned in a given time", "tags": [ "feminine" ], "word": "углова́я ско́рость" }, { "code": "sv", "lang": "Swedish", "sense": "angle turned in a given time", "tags": [ "common-gender" ], "word": "vinkelhastighet" }, { "code": "th", "lang": "Thai", "roman": "kwaam-reo-chəəng-mum", "sense": "angle turned in a given time", "word": "ความเร็วเชิงมุม" }, { "code": "th", "lang": "Thai", "roman": "àt-dtraa-reo-chəəng-mum", "sense": "angle turned in a given time", "word": "อัตราเร็วเชิงมุม" }, { "code": "tr", "lang": "Turkish", "sense": "angle turned in a given time", "word": "açısal hız" } ], "wikipedia": [ "angular velocity" ] } ], "word": "angular velocity" }
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In the same manner, we have a velocity of turning, ω=dθ/dt, which tells us how much the angle changes in a second, just as v=ds/dt describes how fast a thing moves, or how far it moves in a second. If the angle is measured in radians, then the angular velocity ω will be so and so many radians per second. The greater the angular velocity, the faster the object is turning, the faster the angle changes." }, { "text": "Wikipedia: Differential\nA differential is a device, usually, but not necessarily, employing gears, which is connected to the outside world by three shafts, through which it transmits torque and rotation. The gears or other components make the three shafts rotate in such a way that a=pb+qc, where a, b, and c are the angular velocities of the three shafts, and p and q are constants. … In automobiles and other wheeled vehicles, a differential allows the driving road wheels to rotate at different speeds. This is necessary when the vehicle turns, making the wheel that is traveling around the outside of the turning curve roll farther and faster than the other. The engine is connected to the shaft rotating at angular velocity a. The driving wheels are connected to the other two shafts, and p and q are equal.ᵂᴾ" } ], "glosses": [ "The angle turned, per unit time, by a body rotating about an axis; the rate of rotation through an angle." ], "links": [ [ "mathematics", "mathematics" ], [ "physics", "physics" ], [ "rotation", "rotation" ] ], "raw_glosses": [ "(mathematics, physics) The angle turned, per unit time, by a body rotating about an axis; the rate of rotation through an angle." ], "topics": [ "mathematics", "natural-sciences", "physical-sciences", "physics", "sciences" ], "wikipedia": [ "angular velocity" ] } ], "translations": [ { "code": "hy", "lang": "Armenian", "roman": "ankyunayin aragutʻyun", "sense": "angle turned in a given time", "word": "անկյունային արագություն" }, { "code": "cmn", "lang": "Chinese Mandarin", "roman": "jiǎosùdù", "sense": "angle turned in a given time", "word": "角速度" }, { "code": "cs", "lang": "Czech", "sense": "angle turned in a given time", "tags": [ "feminine" ], "word": "úhlová rychlost" }, { "code": "da", "lang": "Danish", "sense": "angle turned in a given time", "tags": [ "common-gender" ], "word": "vinkelhastighed" }, { "code": "nl", "lang": "Dutch", "sense": "angle turned in a given time", "tags": [ "feminine" ], "word": "hoeksnelheid" }, { "code": "fi", "lang": "Finnish", "sense": "angle turned in a given time", "word": "kulmanopeus" }, { "code": "fr", "lang": "French", "sense": "angle turned in a given time", "tags": [ "feminine" ], "word": "vitesse angulaire" }, { "code": "de", "lang": "German", "sense": "angle turned in a given time", "tags": [ "feminine" ], "word": "Winkelgeschwindigkeit" }, { "code": "hi", "lang": "Hindi", "roman": "koṇīya veg", "sense": "angle turned in a given time", "tags": [ "masculine" ], "word": "कोणीय वेग" }, { "code": "hu", "lang": "Hungarian", "sense": "angle turned in a given time", "word": "szögsebesség" }, { "code": "is", "lang": "Icelandic", "sense": "angle turned in a given time", "tags": [ "masculine" ], "word": "hornhraði" }, { "code": "it", "lang": "Italian", "sense": "angle turned in a given time", "tags": [ "feminine" ], "word": "velocità angolare" }, { "alt": "かくそくど", "code": "ja", "lang": "Japanese", "roman": "kakusokudo", "sense": "angle turned in a given time", "word": "角速度" }, { "code": "ko", "lang": "Korean", "roman": "gaksokdo", "sense": "angle turned in a given time", "word": "각속도" }, { "code": "pl", "lang": "Polish", "sense": "angle turned in a given time", "tags": [ "feminine" ], "word": "prędkość kątowa" }, { "code": "pt", "lang": "Portuguese", "sense": "angle turned in a given time", "tags": [ "feminine" ], "word": "velocidade angular" }, { "code": "ru", "lang": "Russian", "roman": "uglovája skórostʹ", "sense": "angle turned in a given time", "tags": [ "feminine" ], "word": "углова́я ско́рость" }, { "code": "sv", "lang": "Swedish", "sense": "angle turned in a given time", "tags": [ "common-gender" ], "word": "vinkelhastighet" }, { "code": "th", "lang": "Thai", "roman": "kwaam-reo-chəəng-mum", "sense": "angle turned in a given time", "word": "ความเร็วเชิงมุม" }, { "code": "th", "lang": "Thai", "roman": "àt-dtraa-reo-chəəng-mum", "sense": "angle turned in a given time", "word": "อัตราเร็วเชิงมุม" }, { "code": "tr", "lang": "Turkish", "sense": "angle turned in a given time", "word": "açısal hız" } ], "word": "angular velocity" }
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