How long does it take for a wheel with an angular velocity of 6p rad / s to turn 45 revolutions.

Initial data: ω (angular velocity of the wheel in question) = 6Π rad / s; N (the number of revolutions that the wheel has made) = 45 revolutions.

The duration of the wheel rotation can be calculated by the formula: t = N / ν = N / (ω / 2Π) = 2Π * N / ω.

Let’s make the calculation: t = 2Π * 45/6Π = 45/3 = 15 s.

Answer: The wheel will make 45 revolutions in 15 seconds.



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