QuestionMay 23, 2025

Assuming that it takes exactly 24 hours for Earth to rotate on its axis, the frequency of rotation of Earth measured in hertz is: 0.125 seconds 0.042 hertz 1400 hertz 86000 hortz

Assuming that it takes exactly 24 hours for Earth to rotate on its axis, the frequency of rotation of Earth measured in hertz is: 0.125 seconds 0.042 hertz 1400 hertz 86000 hortz
Assuming that it takes exactly 24 hours for Earth to rotate on its axis, the frequency of rotation of Earth measured in hertz is:
0.125 seconds
0.042 hertz
1400 hertz
86000 hortz

Solution
4.1(310 votes)

Answer

0.000011574 hertz Explanation 1. Define frequency formula Frequency f is defined as the number of cycles per unit time. For Earth's rotation, 1 cycle (rotation) occurs every 24 hours. 2. Convert hours to seconds Convert 24 hours to seconds: 24 \text{ hours} \times 3600 \text{ seconds/hour} = 86400 \text{ seconds}. 3. Calculate frequency in hertz Use the formula f = \frac{1}{T}, where T is the period in seconds. Thus, f = \frac{1}{86400 \text{ seconds}}.

Explanation

1. Define frequency formula<br /> Frequency $f$ is defined as the number of cycles per unit time. For Earth's rotation, 1 cycle (rotation) occurs every 24 hours.<br />2. Convert hours to seconds<br /> Convert 24 hours to seconds: $24 \text{ hours} \times 3600 \text{ seconds/hour} = 86400 \text{ seconds}$.<br />3. Calculate frequency in hertz<br /> Use the formula $f = \frac{1}{T}$, where $T$ is the period in seconds. Thus, $f = \frac{1}{86400 \text{ seconds}}$.
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