A wheel of radius 10 inches is rotating 20°/sec. What is the linear speed in in/sec and the angular speed in RPM? (Round your answers to three decimal places) in/sec RPM What is the angular speed in radians/sec? radians/sec

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  a)  3.491 in/s

  b)  3.333 RPM

  c)  0.349 rad/s

Step-by-step explanation:

We know the arc length for a given radius and angle is ...

  s = rθ

so the linear speed along the arc is ...

  s' = rθ' = (10 in)(20π/180 rad/s) = 10π/9 in/s ≈ 3.491 in/s

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The rotation rate of 20°/s is an angular velocity of ...

  (20°/s)(60s/min)(1 rev/360°) = 3.333 RPM

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In the first part, we found the angular speed to be π/9 radians/sec. That's about ...

  π/9 rad/s ≈ 0.349 rad/s

water molecules will move from the side of higher water concentration to the side of lower concentration until both solutions are isotonic. at this point, equilibrium is reached. in an isotonic solution, the flow of water in and out of the cell is happening at the same rate.

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