Oops it's rpm to rav/s

Physics

ScanSolve AI Answer

Step-by-step solution

4 steps

Ah, my apologies! You meant radians per second (rad/s), not revolutions per second (rev/s). Let's convert 200 rpm to rad/s.

  1. Start with the given value in revolutions per minute (rpm).

    200 rpm = 200 revolutions / 1 minute

  2. Convert minutes to seconds.

    200 revolutions / 1 minute × (1 minute / 60 seconds)
    = 200 / 60 revolutions / second
    = 10 / 3 revolutions / second

  3. Convert revolutions to radians using the conversion factor 1 revolution = 2π radians.

    (10 / 3 revolutions / second) × (2π radians / 1 revolution)
    = (20π / 3) radians / second

  4. Calculate the numerical value.

    = (20 × 3.14159) / 3 rad/s
    = 62.8318 / 3 rad/s
    = 20.94 rad/s (approximately)

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