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Related Concept Videos

Relative Motion Analysis - Velocity01:24

Relative Motion Analysis - Velocity

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A stroke engine has a slider-crank mechanism that converts rotational motion from the crank into linear motion of the slider or vice versa. This mechanism consists of three main parts: the crank, the connecting rod, and the slider.
When an external force is exerted, it sets the crank into a rotational movement. This, in turn, instigates the motion of the connecting rod, leading to what is referred to as a general plane motion. This process involves two key points - point A on the connecting rod...
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Velocity of an Object01:18

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Understanding how an object moves along a path requires distinguishing between motion over a time span and motion at a precise moment. A useful example is a vehicle traveling along a straight and level path, where its position at any given time is known. The initial step in analyzing this motion is to measure how far the vehicle travels over a fixed time period. This measurement, called average velocity, is computed by dividing the total change in position by the duration over which the change...
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Average Velocity01:12

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To calculate the other physical quantities in kinematics, we must introduce the time variable. The time variable allows us not only to state the position of the object during its motion, but also how fast it is moving. The speed at which an object is moving is given by the rate at which the position changes with time. For each position xi, we assign a particular time ti. If the details of the motion at each instant are not important, the rate is usually expressed as the average velocity. This...
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Average and Instantaneous Velocity Vectors01:12

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To calculate other physical quantities in kinematics, the time variable must be introduced. The time variable not only allows us to state where an object is (its position) during its motion, but also how fast it’s moving. The speed at which an object is moving is given by the rate at which the position changes with time. For each position, a particular time is assigned. If the details of the motion at each instant are not important, the rate is usually expressed as the average velocity v.
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Velocity and position can be calculated from the known function of acceleration as a function of time. The total area under the acceleration-time graph and the velocity-time graph gives the change in velocity and position, respectively. In the case of an airplane, its acceleration is tracked using the inertial navigation system. The pilot provides the input of the airplane's initial position and velocity before takeoff. The inertial navigation system then uses the acceleration data to...
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If acceleration as a function of time is known, then velocity and position functions can be derived using integral calculus. For constant acceleration, the integral equations refer to the first and second kinematic equations for velocity and position functions, respectively.
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Ultrasound-based Pulse Wave Velocity Evaluation in Mice
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Weak-values technique for velocity measurements.

Gerardo I Viza, Julián Martínez-Rincón, Gregory A Howland

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    Summary
    This summary is machine-generated.

    This study presents a novel interferometric technique for precise longitudinal velocity measurements. The method utilizes time-domain analysis and near-destructive interference to achieve high sensitivity, reaching 400 fm/s with remarkable efficiency.

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    Area of Science:

    • Quantum metrology
    • Optical interferometry
    • Precision measurement

    Background:

    • Brunner and Simon proposed an interferometric scheme using imaginary weak values for longitudinal phase shifts.
    • Standard interferometry has limitations in measuring longitudinal phase shifts and velocities.

    Purpose of the Study:

    • To demonstrate an interferometric scheme for measuring longitudinal velocities.
    • To outperform standard interferometry in precision velocity measurements.
    • To analyze the efficiency of the proposed velocity measurement estimator.

    Main Methods:

    • Utilizing a Michelson interferometer with a moving mirror.
    • Employing near-destructive interference of non-Fourier limited pulses.
    • Implementing a time-domain analysis for Doppler-shifted pulses.

    Main Results:

    • Achieved a longitudinal velocity measurement of 400 fm/s.
    • Demonstrated the efficiency of the velocity measurement estimator.
    • The estimator reached its Cramér-Rao bound, indicating optimal performance.

    Conclusions:

    • The proposed time-domain interferometric scheme enables highly sensitive longitudinal velocity measurements.
    • This technique offers an improvement over standard interferometry for velocity sensing.
    • The demonstrated efficiency highlights the potential of this method for precision metrology.