QQuestionAnatomy and Physiology
QuestionAnatomy and Physiology
(a) Convert 49.0 ∘ to radians.
(b) Convert 13.0 radians to revolutions.
(c) Convert 75.5rpm to rad/s.
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Answer
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Step 1I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
(a) Converting 49.0° to radians:
Step 2: Recall the conversion formula from degrees to radians
\text{radians} = \frac{\pi}{180^\circ} \times \text{degrees}
Final Answer
(b) Converting 13.0 radians to revolutions: Step 1: Recall that one full revolution = 2\pi radians Step 2: Set up the conversion \text{revolutions} = \frac{13.0 \text{ radians}}{2\pi \text{ radians/revolution}} Step 3: Calculate the result \text{revolutions} = \frac{13.0}{2\pi} = 2.07 \text{ revolutions} (c) Converting 75.5 rpm to rad/s: Step 1: Recall conversion relationships - 1 revolution = 2\pi radians - 1 minute = 60 seconds - rpm = revolutions per minute Step 2: Set up the conversion \frac{75.5 \text{ rev}}{1 \text{ min}} \times \frac{2\pi \text{ rad}}{1 \text{ rev}} \times \frac{1 \text{ min}}{60 \text{ s}} Step 3: Calculate the result = 75.5 \times \frac{2\pi}{60} = 7.90 \text{ rad/s}
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