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A wheel makes 360 revolutions per minute...

A wheel makes 360 revolutions per minute. Through how many radians does it turn in 1 second?

Text Solution

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Given that a wheel makes `360` revolutions in `1` minute.

ie a wheel makes` 360` revolutions in `60` seconds.

`therefore text { In } 1 text { second, no. of revolutions }=frac{360}{60}`

`=6 text { revolutions }`

In `1` revolution, the angle made by the wheel `=360^{circ}`

`therefore` Angle made by the wheel in 6 revolutions `=6 times 360^{circ}`

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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 20 revolutions per hour. The radians turns through 25 minutes is __________.

    A
    `(50pi^(c))/(7)`
    B
    `(250pi^(c))/(3)`
    C
    `(150pi^(c))/(7)`
    D
    `(50pi^(c))/(3)`

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    A wheel makes 30 revolutions per minute. Find the radian measure of the angle described by one of the spokes of the wheel in 1/2 second

    A wheel makes 12 revolutions per minute. The angle in radian described by a spoke of the wheel in 1 second is :

    How many radians are there in one minute?

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