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  2. Piston motion equations - Wikipedia

    en.wikipedia.org/wiki/Piston_motion_equations

    The frequency of the crankshaft's rotation is related to the engine's speed (revolutions per minute) as follows: ν = R P M 60 {\displaystyle \nu ={\frac {\mathrm {RPM} }{60}}} So the angular velocity ( radians /s) of the crankshaft is:

  3. Angular velocity - Wikipedia

    en.wikipedia.org/wiki/Angular_velocity

    In physics, angular velocity (symbol ω or , the lowercase Greek letter omega), also known as angular frequency vector, [1] is a pseudovector representation of how the angular position or orientation of an object changes with time, i.e. how quickly an object rotates (spins or revolves) around an axis of rotation and how fast the axis itself changes direction.

  4. Rotation around a fixed axis - Wikipedia

    en.wikipedia.org/wiki/Rotation_around_a_fixed_axis

    Change in angular displacement per unit time is called angular velocity with direction along the axis of rotation. The symbol for angular velocity is and the units are typically rad s −1. Angular speed is the magnitude of angular velocity.

  5. Kinematics - Wikipedia

    en.wikipedia.org/wiki/Kinematics

    Angular velocity: the angular velocity ω is the rate at which the angular position θ changes with respect to time t: = The angular velocity is represented in Figure 1 by a vector Ω pointing along the axis of rotation with magnitude ω and sense determined by the direction of rotation as given by the right-hand rule.

  6. Rotational frequency - Wikipedia

    en.wikipedia.org/wiki/Rotational_frequency

    Rotational frequency, also known as rotational speed or rate of rotation (symbols ν, lowercase Greek nu, and also n), is the frequency of rotation of an object around an axis. Its SI unit is the reciprocal seconds (s −1 ); other common units of measurement include the hertz (Hz), cycles per second (cps), and revolutions per minute (rpm).

  7. Speeds and feeds - Wikipedia

    en.wikipedia.org/wiki/Speeds_and_feeds

    Cutting speed (also called surface speed or simply speed) is the speed difference (relative velocity) between the cutting tool and the surface of the workpiece it is operating on. It is expressed in units of distance across the workpiece surface per unit of time, typically surface feet per minute (sfm) or meters per minute (m/min). [ 1 ]

  8. Archimedean spiral - Wikipedia

    en.wikipedia.org/wiki/Archimedean_spiral

    Let at time t = 0, the object was at an arbitrary point (c, 0, 0). If the xy plane rotates with a constant angular velocity ω about the z-axis, then the velocity of the point with respect to z-axis may be written as: The xy plane rotates to an angle ωt (anticlockwise) about the origin in time t. (c, 0) is the position of the object at t = 0.

  9. Circular motion - Wikipedia

    en.wikipedia.org/wiki/Circular_motion

    Figure 1: Velocity v and acceleration a in uniform circular motion at angular rate ω; the speed is constant, but the velocity is always tangential to the orbit; the acceleration has constant magnitude, but always points toward the center of rotation. Figure 2: The velocity vectors at time t and time t + dt are moved from the orbit on the left ...