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Ch. 05 - Using Newton's Laws: Friction, Circular Motion, Drag Forces
Giancoli Douglas - Physics for Scientists and Engineers 5th edition
Giancoli Douglas5th editionPhysics for Scientists and EngineersISBN: 9780137488179당신이 사용하는 게 아니라요?교과서 변경
5장, 문제 38

A jet plane traveling 1890 km/h (525 m/s) pulls out of a dive by moving in an arc of radius 4.80 km. What is the plane's acceleration in g's?

검증된 단계별 안내
1
Convert the radius of the arc from kilometers to meters. Since 1 km = 1000 m, multiply the radius (4.80 km) by 1000 to get the radius in meters.
Recall the formula for centripetal acceleration: a=v2/r, where v is the velocity and r is the radius of the circular path. Substitute the given velocity (525 m/s) and the radius (converted to meters) into the formula.
Calculate the centripetal acceleration in meters per second squared (m/s²) by performing the division of the squared velocity by the radius.
To express the acceleration in terms of g's, divide the calculated centripetal acceleration by the acceleration due to gravity, g=9.8 m/s2.
The result from the previous step gives the plane's acceleration in g's. Ensure the units are consistent and the final value is dimensionless.

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이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
4m
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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Centripetal Acceleration

Centripetal acceleration is the acceleration experienced by an object moving in a circular path, directed towards the center of the circle. It is calculated using the formula a_c = v²/r, where v is the tangential speed and r is the radius of the circular path. In this scenario, the jet plane's speed and the radius of its arc are essential for determining the centripetal acceleration.
추천 영상:
가이드 코스
06:48
Intro to Centripetal Forces

Acceleration in g's

Acceleration in g's refers to the measurement of acceleration relative to the acceleration due to gravity (g), which is approximately 9.81 m/s². To express acceleration in g's, one divides the calculated acceleration by g. This allows for a more intuitive understanding of the forces acting on the plane and the sensation of acceleration experienced by the pilot.
추천 영상:
가이드 코스
05:47
Intro to Acceleration

Units of Measurement

Understanding units of measurement is crucial in physics, as it ensures that calculations are consistent and accurate. In this problem, speed is given in kilometers per hour and meters per second, while radius is in kilometers. Converting all units to a consistent system, such as SI units (meters and seconds), is necessary for correctly applying formulas and obtaining the correct acceleration value.
추천 영상:
가이드 코스
07:46
Unit Conversions
관련 실천
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