A man drives a go-kart around a circular track with a diameter of 50 m, at a rate of 314 m/minute. What is the frequency at which he circles the track in hertz (Hz)?
- 0.0027 Hz
- 0.03 Hz
- 2 Hz
- 6.25 Hz
Click for Explanation
Frequency essentially translates into how many cycles we can complete in one second. Our rate is 314 m/min or 314/60 = 5.23 m/s. The length of the track is the circumference of the circle, or 2*Pi*r = 2*3.14*25 = 50*3.14 = 157 meters per 1 cycle.
Lastly, to get frequency with units of cycle/second, we need to divide the rate by length of 1 cycle:
5.23 / 157 = 0.03 cycles per second, making answer choice B the correct answer.
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