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Ch. 3 - Radian Measure and The Unit Circle
Lial - Trigonometry 12th Edition
Lial12th EditionTrigonometryISBN: 9780136552161당신이 사용하는 게 아니라요?교과서 변경
4장, 문제 17

Use the formula ω = θ/t to find the value of the missing variable.


θ = 3.871 radians, t = 21.47 sec

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1
Identify the given variables and the formula: angular displacement \(\theta = 3.871\) radians, time \(t = 21.47\) seconds, and the formula for angular velocity \(\omega = \frac{\theta}{t}\).
Substitute the known values into the formula: \(\omega = \frac{3.871}{21.47}\).
Set up the division to calculate \(\omega\), which represents the angular velocity in radians per second.
Perform the division to find the numerical value of \(\omega\) (angular velocity).
Interpret the result as the rate of change of angular displacement with respect to time, measured in radians per second.

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주요 개념

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

Angular Displacement (θ)

Angular displacement represents the angle through which an object rotates, measured in radians. It quantifies the change in the angular position of the object and is essential for calculating angular velocity.

Time Interval (t)

Time interval is the duration over which the angular displacement occurs, measured in seconds. It is a key variable in determining the rate of rotation or angular velocity.
추천 영상:
가이드 코스
04:31
Eliminating the Parameter Example 1

Angular Velocity (ω)

Angular velocity is the rate of change of angular displacement with respect to time, expressed in radians per second. It indicates how fast an object rotates and is calculated using the formula ω = θ / t.
추천 영상:
03:48
Introduction to Vectors