Question

Calculate the period and frequency for the second hand, minute hand, and hour hand of a clock.

• A. $\text{For second hand, period = 1 min = 60 s; frequency = 0.0166 Hz}\text{For minute hand, period = 1 hr = 3600 s; frequency = 2.77}\times {10}^{-4}Hz\text{For hour hand, period = 12 hrs = 43200 s; frequency = 2.3}\times {10}^{-5}Hz$
• B. $\text{For second hand, period = 1 min = 360 s; frequency = 0.0166 Hz}\text{For minute hand, period = 1 hr = 600 s; frequency = 2.77}\times {10}^{-4}Hz\text{For hour hand, period = 12 hrs =3200 s; frequency = 2.3}\times {10}^{-5}Hz$
• C. $\text{For second hand, period = 1 min = 0 s; frequency = 0.0166 Hz}\text{For minute hand, period = 1 hr = 36 s; frequency = 2.77}\times {10}^{-4}Hz\text{For hour hand, period = 12 hrs = 43200 s; frequency = 2.3}\times {10}^{-5}Hz$
• D. $\text{For second hand, period = 1 min = 3660 s; frequency = 0.0166 Hz}\text{For minute hand, period = 1 hr = 3600 s; frequency = 2.77}\times {10}^{-4}Hz\text{For hour hand, period = 12 hrs = 4300 s; frequency = 2.3}\times {10}^{-5}Hz$

Answer 1

The correct option is A $\text{For second hand, period = 1 min = 60 s; frequency = 0.0166 Hz}\text{For minute hand, period = 1 hr = 3600 s; frequency = 2.77}\times {10}^{-4}Hz\text{For hour hand, period = 12 hrs = 43200 s; frequency = 2.3}\times {10}^{-5}Hz$

The frequency (f) of a wave is the number of full wave forms generated per second. This is the same as the number of repetitions per second or the number of oscillations per second.
Time Period (T) is the number of seconds per waveform, or the number of seconds per oscillation. It is clear that frequency and period are reciprocals.
For second hand, period = 1 min = 60 s; The frequency = $\frac{1}{t}=\frac{1}{60}=0.0167Hz$.
For minute hand, period = 1 hr = 3600 s; The frequency = $\frac{1}{t}=\frac{1}{3600}=2.77\times {10}^{-4}Hz$.
For hour hand, period = 12 hrs = 43200 s; The frequency = $\frac{1}{t}=\frac{1}{43200}=2.3\times {10}^{-5}Hz$.