Value (RPM):
Radius (meters):
Value (m/s):
When converting rpm to m/s, we're essentially transforming rotational speed into linear speed, considering the radius of the rotating object.
Understand the angular velocity: Angular velocity, denoted as ω, represents how fast an object rotates around its axis, measured in revolutions per minute (rpm).
Factor in the radius: The distance from the center of rotation to the edge of the object is the radius, denoted as 'r'.
Use the formula: Linear velocity (v) can be calculated using the formula: v = r × ω × (2π/60)
However, since ω is in rpm, we need to convert it to radians per second (rad/s) by multiplying by 2π/60.
Apply the values: Plug in the values you have. For instance, if the object rotates at 100 rpm with a radius of 0.5 meters: v = 0.5 × 100 × (2π/60) ≈ 5.24 m/s
Therefore, the linear velocity of the object is approximately 5.24 m/s.
By understanding the relationship between rotational and linear motion, and incorporating the radius, we can accurately convert rpm to m/s.