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A wheel makes 360 revolutions in one min...

A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?

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To find out how many radians a wheel turns in one second when it makes 360 revolutions in one minute, we can follow these steps: ### Step 1: Understand the relationship between revolutions and radians. One complete revolution of a circle corresponds to \(2\pi\) radians. Therefore, if a wheel makes 360 revolutions, the total radians covered can be calculated as: \[ \text{Total radians} = \text{Number of revolutions} \times 2\pi = 360 \times 2\pi \] ...
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Knowledge Check

  • A wheel makes 180 revoluations in 1 minutes. Through how many radians does it turn in 1 second ?

    A
    `(12pi)^(c )`
    B
    `(6pi)^(c )`
    C
    `(4pi)^(c )`
    D
    `(8pi)^(c )`
  • A wheel makes 360 revolutions in a minute. The number of radians through which it turns in one second is

    A
    `12 pi`
    B
    `11 pi`
    C
    `10 pi`
    D
    `8pi`
  • A wheel makes 240 revolution in one minutes. Find the measure of the angle it describes at the centre in 15 seconds.

    A
    `60pi^(c )`
    B
    `120pi^(c ) `
    C
    `8 pi^(c )`
    D
    None of these
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