Angular Kinematics Exam Review
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Questions and Answers

What is the angular displacement formula expressed mathematically?

  • $\omega = \frac{\theta}{t}$ (correct)
  • $\theta = \frac{d}{r}$ (correct)
  • $v_T = \omega \times r$
  • $d = \theta \times r$
  • In angular kinematics, counter-clockwise motion is considered negative.

    False (B)

    What does the right-hand-thumb rule help determine in angular kinematics?

    The direction of angular displacement or angular velocity.

    Angular velocity is calculated using the formula ____ = angular displacement/change in time.

    <p>ω</p> Signup and view all the answers

    Match the following terms in angular kinematics with their definitions:

    <p>Angular distance (φ) = Total rotation angle in radians, degrees, or revolutions Angular displacement (θ) = Change in position of an object from its initial to final angle Tangential velocity (vT) = Linear speed of an object moving along a circular path Radius (r) = Distance from the center of rotation to the point of interest</p> Signup and view all the answers

    Which of the following statements about velocity is true?

    <p>Angular velocity is greater for longer radii when tangential velocity is equal. (B), Objects with a shorter radius can achieve a higher angular velocity. (D)</p> Signup and view all the answers

    The unit of force is measured in Pascals.

    <p>False (B)</p> Signup and view all the answers

    What formula is used to calculate angular acceleration?

    <p>α = (ωf – ωi)/t</p> Signup and view all the answers

    Momentum is the product of mass and ______.

    <p>velocity</p> Signup and view all the answers

    Match the types of friction with their descriptions:

    <p>Static Friction = Force preventing motion between two stationary objects Kinetic Friction = Force opposing motion between moving objects Rolling Friction = Resistance encountered when an object rolls over a surface Fluid Friction = Resistance experienced by objects moving through a liquid or gas</p> Signup and view all the answers

    Which statement about collisions is correct?

    <p>Momentum is conserved in all types of collisions. (B)</p> Signup and view all the answers

    The pressure formula is given by P = Area/Force.

    <p>False (B)</p> Signup and view all the answers

    What is the formula for impulse?

    <p>Impulse = Ft</p> Signup and view all the answers

    What is torque defined as?

    <p>Force multiplied by the distance from the axis of rotation (B)</p> Signup and view all the answers

    The moment of inertia (I) is calculated only by mass and does not take into account the distribution of that mass.

    <p>False (B)</p> Signup and view all the answers

    What defines a 3rd class lever?

    <p>The force is applied between the axis and the resistance.</p> Signup and view all the answers

    The conservation of angular momentum implies that the total angular momentum of a given system remains constant in the absence of __________.

    <p>external torques</p> Signup and view all the answers

    Which factor most significantly affects angular momentum?

    <p>Distribution of mass (C)</p> Signup and view all the answers

    Match the levers with their characteristics:

    <p>1st Class = Force and Resistance on opposite sides of the axis 2nd Class = Resistance is in the middle 3rd Class = Force is in the middle Levers in general = Consist of Axis, Force, and Resistance</p> Signup and view all the answers

    Mechanical advantage increases as the resistance arm (RA) increases relative to the force arm (FA).

    <p>False (B)</p> Signup and view all the answers

    What equation represents the mechanical advantage (MA) of a lever?

    <p>MA = FA/RA</p> Signup and view all the answers

    The quantity of angular inertia is quantified as __________.

    <p>moment of inertia</p> Signup and view all the answers

    In angular kinetics, which of the following is true about the force arm (FA)?

    <p>It is the distance from the axis to the point where the force is applied. (A)</p> Signup and view all the answers

    Which principle states that any body in a fluid will experience a buoyant force equal to the weight of the volume of the fluid it displaces?

    <p>Archimedes' principle (D)</p> Signup and view all the answers

    Turbulent flow describes fluid layers that move smoothly and predictably.

    <p>False (B)</p> Signup and view all the answers

    What does viscosity refer to in the context of fluid dynamics?

    <p>Resistance to flow</p> Signup and view all the answers

    The principle that describes how drag increases with the square of the relative velocity of motion is known as the _______ square law.

    <p>theoretical</p> Signup and view all the answers

    Match the types of drag with their descriptions:

    <p>Form drag = Affected by the area on which the fluid acts Surface drag = Affects moving objects due to skin friction Wave drag = Only felt in water, increases with faster movement Lift = Acts at right angles to the relative flow</p> Signup and view all the answers

    Which factor does NOT directly affect surface drag?

    <p>Density of the fluid (B)</p> Signup and view all the answers

    The center of buoyancy is the point at which buoyant forces act, and it coincides with the center of gravity.

    <p>False (B)</p> Signup and view all the answers

    What is the relationship between the duration of force and the velocity of an object?

    <p>Increase duration of constant force increases velocity</p> Signup and view all the answers

    The coordination of body segments moving together simultaneously usually aims for ______ or force.

    <p>accuracy</p> Signup and view all the answers

    What factor influences the buoyancy of an object in a fluid?

    <p>Volume of fluid displaced (C)</p> Signup and view all the answers

    Flashcards

    Angular displacement

    The angle through which a point on a rotating body moves. Measured in radians (rad), degrees (°), or revolutions (rev).

    Angular velocity (ω)

    The rate of change of angular displacement. Calculated as angular displacement over time.

    Tangential velocity (vT)

    The linear velocity of a point on a rotating body. Calculated as angular velocity times the distance from the rotation axis.

    Radians

    A unit of angular measure. One radian is the angle subtended by an arc equal in length to the radius of the circle.

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    Angular vs. Linear Displacement

    Angular displacement is the rotation, linear displacement is the movement along a straight line. The farther a point from the axis, the greater the linear displacement for a given angular displacement.

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    Centripetal Acceleration

    Acceleration towards the center of a circular path.

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    Newton's Laws of Motion

    Fundamental laws describing the relationship between forces, mass, and motion.

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    Momentum

    Mass times velocity.

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    Conservation of Momentum

    Total momentum is constant if no external forces act.

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    Impulse

    Change in momentum of an object.

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    Coefficient of Restitution (e)

    Measure of elasticity in a collision (0 ≤ e ≤ 1).

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    Friction

    Force that opposes motion between surfaces in contact.

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    Kinetic Link

    The coordination of linked body segments to create force or velocity. It can be simultaneous or sequential.

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    Simultaneous Kinetic Link

    Body segments move together, usually for accuracy or force.

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    Sequential Kinetic Link

    Body segments move in sequence to create maximum velocity.

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    Laminar Flow

    Fluid moving in layers, with layers moving relative to each other.

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    Turbulent Flow

    Fluid layers are disturbed, creating irregular movement.

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    Viscosity

    Resistance to flow, or the ease of movement between fluid layers.

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    Buoyancy

    The tendency of an object to float or rise in a fluid.

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    Archimedes' Principle

    The buoyant force on an object is equal to the weight of the fluid displaced by the object.

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    Form Drag

    Drag caused by the shape of an object moving through a fluid.

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    Surface Drag

    Drag caused by friction between the surface of an object and the fluid it's moving through.

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    Torque

    The turning effect of a force. Calculated as force multiplied by the perpendicular distance from the force's line of action to the axis of rotation.

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    Lever

    A simple machine consisting of a rigid bar that pivots around a fixed point called a fulcrum.

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    Mechanical Advantage (MA)

    A ratio of the force produced by a machine to the force applied to it. A measure of how much a machine multiplies a force.

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    Angular Inertia (Ia)

    A measure of an object's resistance to changes in its angular velocity.

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    Radius of Gyration (k)

    The distance from the axis of rotation to the point where the body's mass can be concentrated without changing its angular inertia.

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    Moment of Inertia (I)

    The quantitative measure of angular inertia (I = mk2).

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    Angular Momentum (H)

    The product of an object's moment of inertia and its angular velocity (H = Iaω).

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    Conservation of Angular Momentum

    In the absence of external torques, the total angular momentum of a system remains constant.

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    Skill Phasing

    Analyzing a skill by identifying different phases, improving each step

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    MPA

    Method of analyzing and improving motor skills

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    Study Notes

    Exam 2 Review

    • This material is a summary of the lecture content for the second exam.
    • Students need to consult their notes, PowerPoint slides, and textbook readings for better understanding.
    • Formula sheet will be provided.

    Lecture: Angular Kinematics

    • Relative vs. Absolute Angle: Angular distance (φ) vs. Angular Displacement (θ). Similar to linear, counter-clockwise is positive, clockwise is negative.
    • Measurements: Degrees, revolutions, and radians. Number of radians = arc length/radius.
    • Angular Distance vs. Displacement: Greater distance from rotation axis = greater linear displacement.
    • Angular Velocity (ω): Angular displacement/change in time (ω = θ/t).
    • Tangential Velocity (v₁): v₁ = ω x r (tangent to arc at a point) perpendicular to the radius at the arc. Longer radius = greater tangential velocity (v₁), for the same angular velocity (ω).
    • Angular Acceleration (α): α = (ωf - ωi)/t
    • Centripetal and Centrifugal Acceleration: Centripetal (ac) = v²/r, Centrifugal (af) = mv²/r
    • Important Concept (Kinetics/Forces): A force is measured in Newtons (N) and is equal to kg⋅m/s².

    Lecture: Linear Kinetics (Forces)

    • Unit of Force: Newton (N) = kg⋅m/s²
    • Newton's Laws:
      • Inertia
      • Acceleration
      • Action/reaction
    • Friction:
      • Static friction: μs ≤ fs/Fn
      • Kinetic friction: μk ≤ fk/Fn
      • Rolling friction
    • Momentum: Mass × velocity. A vector quantity (direction and magnitude).

    Lecture: Angular Kinetics

    • Torque: Torque (τ) = F x d (perpendicular distance of force from axis of rotation).
    • Levers:
      • Axis (fulcrum)
      • Force (motive force)
      • Resistance (resistance force)
      • 1st, 2nd, & 3rd class levers
      • Mechanical Advantage (MA) = FA/RA

    Important Considerations in Collisions

    • Conservation of Momentum: Momentum before collision = momentum after collision (no external forces). m₁v₁ (before) + m₂v₂ (before) = m₁v₁ (after) + m₂v₂ (after)
    • Impulse: Impulse = Ft = m₂v₂ - m₁v₁.
    • Collisions: Elastic vs. Inelastic.
    • Elasticity: Measured by Coefficient of Restitution (e). Determined by object composition and surface of the colliding object, and temperature.
    • Calculation: e = separation speed/approach speed or √(hb/ha) (sqr rt of bounce height/drop height).
    • Angular Momentum: Moment of Inertia (I) x Angular Velocity (ω) = H = lω or mk2ω
      • Affected by mass and distribution of mass (k) (radius of gyration)
    • Conservation of Angular Momentum: Total angular momentum remains constant.
      • No external torques.
      • Changes in angular velocity requires changes of mass distribution (ex. tucking).
    • MPA (Mechanical Performance Analysis): 3 main steps (Skill phasing, principles/performance factors application, coaching/feedback).
    • Kinetic Links: Coordination of linked body segments for force/velocity (body segments move together).

    Lecture: Fluid Dynamics

    • Characteristics of Fluid:
      • Laminar flow (layers)
      • Turbulent flow (disturbed layers).
      • Ease of flow = viscosity (resistance).
    • Buoyancy: Tendency of object to float. Archimedes' principle: buoyant force = weight of displaced fluid.
    • Drag: Opposing force to object through fluid.
      • Form drag (profile).
      • Surface drag (skin friction).
    • Lift: Acts at right angles to relative flow. Pressure differences (high to low).
    • Magnus Effect: Spin on a ball causes it to curve.

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    Related Documents

    Exam 2 Review PDF

    Description

    Prepare for the second exam with this comprehensive summary of angular kinematics concepts. This review covers key topics such as angular distance, velocity, and acceleration, along with essential formulas. Consult your lecture notes and PowerPoint slides for a complete understanding.

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