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Ahead escaleris whet has radius of 90m and rotates at 2 pm. What linear speed and angular acceleration

User Jainarine
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1 Answer

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Final answer:

Angular velocity, linear speed, and angular acceleration of rotating objects can be determined using specific physics formulas, quantifying rotational motion in various systems.

Step-by-step explanation:

To calculate the linear speed and angular acceleration of motion-related phenomena, such as a rotating wind turbine or a merry-go-round, certain physical formulas must be applied involving angular velocity, linear speed, and angular acceleration. These calculations are crucial for understanding the dynamics of rotational motion.

Examples of Rotational Motion Calculations

  • Angular velocity (ω) is measured in radians per second (rad/s) and can be determined from revolutions per minute (rpm) by the formula ω = 2π * (rpm / 60).
  • Linear speed (v) at a radius r from the axis of rotation is given by v = r * ω.
  • Angular acceleration (α) refers to the rate at which angular velocity changes over time. It is given by the change in angular velocity (Δω) divided by the time interval (Δt), α = Δω / Δt.

By applying these principles, we can solve complex problems involving rotational motion in systems ranging from microscopic ultracentrifuges to the Earth's rotation.

User EyecatchUp
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