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A wheel makes 10 rotaions in 50s. What is the period of its rotation? What is the frequency of its rotation?

User Designer
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1 Answer

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Answer:

  • period: 5 seconds
  • frequency: 1/5 rps, or 12 rpm

Step-by-step explanation:

You want the period and frequency of rotation of a wheel that makes 10 rotations in 50 seconds.

Period

The period is the time divided by the number of rotations in that time:

(50 s)/(10 rot) =5 s/rot

The period of one rotation is 5 seconds.

Frequency

The frequency is the inverse of the period:

1/(5 s/rev) = 1/5 rev/s = 1/5 rps

Often, frequency of rotation is expressed in revolutions per minute. In one minute the wheel will make ...

(1/5 rev/s)ยท(60 s/min) = 12 rev/min = 12 rpm

User Ankur Mukherjee
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