Pregunta
6.2 A wheel with a diameter of 80 mm rotates at \( 1260 \mathrm{r} / \mathrm{min} \). Calculate: 6.2.1 The rotational frequency in \( \mathrm{r} / \mathrm{s} \).
Ask by Welch Norton. in South Africa
Mar 18,2025
Solución de inteligencia artificial de Upstudy
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The rotational frequency is 21 r/s.
Solución
To calculate the rotational frequency in revolutions per second (r/s), we can use the formula:
\[ \text{Rotational Frequency (r/s)} = \frac{\text{Rotational Speed (r/min)}}{60} \]
Given:
- Rotational Speed (r/min) = 1260 r/min
Substitute the given values into the formula to find the rotational frequency in r/s.
Calculate the value by following steps:
- step0: Calculate:
\(\frac{1260}{60}\)
- step1: Reduce the numbers:
\(\frac{21}{1}\)
- step2: Calculate:
\(21\)
The rotational frequency in revolutions per second (r/s) is 21 r/s.
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Simplifique esta solución Bonus Knowledge
To convert the rotational speed from revolutions per minute (r/min) to revolutions per second (r/s), you divide by 60 (since there are 60 seconds in a minute). So, for a wheel rotating at 1260 r/min, the calculation is: \[ \text{Rotational frequency} = \frac{1260 \, \mathrm{r/min}}{60} = 21 \, \mathrm{r/s} \] Therefore, the rotational frequency of the wheel is \( 21 \, \mathrm{r/s} \).
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