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Ch. 10 - Rotational Motion
Giancoli Douglas - Physics for Scientists and Engineers 5th edition
Giancoli Douglas5th editionPhysics for Scientists and EngineersISBN: 9780137488179당신이 사용하는 게 아니라요?교과서 변경
모든 교과서Giancoli Douglas 5th editionCh. 10 - Rotational Motion문제 5a
10장, 문제 5a

The platter of the hard drive of a computer rotates at 7200 rpm (rpm = revolutions per minute = rev/min). What is the angular velocity (rad/s) of the platter?

검증된 단계별 안내
1
Convert the given rotational speed from revolutions per minute (rpm) to revolutions per second (rps). Use the relationship: 1 minute = 60 seconds. The formula is: \( \text{rps} = \frac{\text{rpm}}{60} \).
Recognize that one revolution corresponds to an angular displacement of \( 2\pi \) radians. To find the angular velocity in radians per second (rad/s), multiply the revolutions per second (rps) by \( 2\pi \). The formula is: \( \omega = \text{rps} \times 2\pi \).
Substitute the value of \( \text{rps} \) from step 1 into the formula from step 2 to calculate \( \omega \), the angular velocity in rad/s.
Simplify the expression to express \( \omega \) in terms of \( \pi \) for clarity, if needed.
Ensure the units are consistent throughout the calculation and confirm that the final angular velocity is expressed in radians per second (rad/s).

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이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

주요 개념

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

Angular Velocity

Angular velocity is a measure of how quickly an object rotates around an axis, expressed in radians per second (rad/s). It quantifies the rate of change of angular displacement and is crucial for understanding rotational motion. The formula to convert from revolutions per minute (rpm) to radians per second is: angular velocity (ω) = (rpm × 2π) / 60.
추천 영상:
가이드 코스
06:18
Intro to Angular Momentum

Revolutions and Radians

A revolution refers to a complete turn around a circle, which corresponds to an angular displacement of 2π radians. Understanding the relationship between revolutions and radians is essential for converting angular measurements. This conversion is necessary when calculating angular velocity from rpm, as it allows for a consistent unit of measurement in physics.
추천 영상:
가이드 코스
05:58
Displacement in Multiple Revolutions

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one set of units to another. In this context, converting rpm to rad/s involves understanding the relationship between the units and applying appropriate conversion factors. Mastery of unit conversion is vital in physics to ensure that calculations are accurate and meaningful across different contexts.
추천 영상:
가이드 코스
07:46
Unit Conversions
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