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30 October, 06:09

The angular velocity of a fan blade is 6.2 radians per second.

Approximately how many revolutions does the fan blade make in 1.6 minutes?

Enter your answer, rounded to the nearest tenth of a revolution

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Answers (1)
  1. 30 October, 07:29
    0
    94.7 revolutions

    Step-by-step explanation:

    In the question above, we are given the following values for the fan

    Angular velocity = 6.2 radians per seconds

    Time = 1.6 minutes.

    Step 1

    We would convert the time given to seconds

    1 minute = 60 seconds

    1.6 minutes = ?

    We cross multiply

    1.6 minutes * 60 seconds

    = 96 seconds

    Step 2

    Number of revolutions made by the fan is calculated as:

    Angular velocity (rad/s)

    * time (seconds)

    Number of revolutions = 6.2 radians per seconds * 96 seconds

    =595.2 radians

    Converting from radians to revolution

    1 radian = 0.159155 revolutions

    595.2 radians =

    Cross multiply

    = 595.2 radians * 0.159155 revolutions

    = 94.729056 revolutions.

    Approximately to the nearest tenth = 94.7 revolutions.

    Therefore, the number of revolutions the fan blade makes in 1.6 minutes is 94.7 revolutions.
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