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The speed of a motor increase from 600 r...

The speed of a motor increase from `600` rpm to `1200` rpm in `20` seconds. What is its angular acceleration, and how many revolutions does it make during this time ?

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AI Generated Solution

To solve the problem, we will follow these steps: ### Step 1: Convert RPM to Radians per Second First, we need to convert the initial and final speeds from revolutions per minute (rpm) to radians per second (rad/s). - **Initial speed (ω_initial)**: \[ 600 \text{ rpm} = 600 \times \frac{2\pi \text{ rad}}{1 \text{ rev}} \times \frac{1 \text{ min}}{60 \text{ s}} = 600 \times \frac{2\pi}{60} = 20\pi \text{ rad/s} ...
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Knowledge Check

  • Theangular speed of a car increases from 600 rpm to 1200 rpm in 10 s .What is the angular acceleration of the car ?

    A
    `600 rads^(-2)`
    B
    `60 rads^(-2)`
    C
    `60pi rads^(-2)`
    D
    `2pi rads^(-2)`
  • The angular speed of a motor wheel is increases from 1200 rpm to 3120 rpm in 16 seconds. The angular acceleration of the motor wheel is,

    A
    `2pi " rad " s^(-2)`
    B
    `4 pi " rad " s^(-2)`
    C
    `6 pi " rad "s^(-2)`
    D
    `8 pi " rad " s^(-2)`
  • The angular speed of a motor wheel is increased from 120 rpm to 3120 rpm in 16 seconds. The angular acceleration of the motor wheel is

    A
    `2 pi rad s^(-2)`
    B
    `4pi rad s^(-2)`
    C
    `6pi rad s^(-2)`
    D
    `8pi rad s^(-2)`
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