Linear and Circular Motion Quiz
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Questions and Answers

Which of the following is the distance traveled by light in a vacuum during a time interval of 1/299,792,458 s?

  • Ampere
  • Kilogram
  • Meter (correct)
  • Second
  • What is the unit of time in SI base units?

  • Ampere
  • Second (correct)
  • Kilogram
  • Meter
  • Which unit measures electric current in the SI base units?

  • Kelvin
  • Candela
  • Mole
  • Ampere (correct)
  • A measurement of temperature is expressed in what unit in the SI base units?

    <p>Kelvin (C)</p> Signup and view all the answers

    Which unit measures the amount of a substance in the SI base units?

    <p>Mole (A)</p> Signup and view all the answers

    What is the SI base unit for measuring luminous intensity?

    <p>Candela (A)</p> Signup and view all the answers

    What is the equivalent of 1 inch in centimeters?

    <p>2.54 cm (B)</p> Signup and view all the answers

    How many centimeters are there in 1 foot?

    <p>30.48 cm (A)</p> Signup and view all the answers

    What is the equivalent of 1 meter in inches?

    <p>39.37 in (B)</p> Signup and view all the answers

    How many feet are there in 1 meter?

    <p>3.281 ft (D)</p> Signup and view all the answers

    What is the value of 1 light year (ly) in meters?

    <p>9.461 x 10^15 m (D)</p> Signup and view all the answers

    Which prefix represents $10^{15}$?

    <p>Peta (A)</p> Signup and view all the answers

    What is accuracy?

    <p>how closely the measured value corresponds to the true value</p> Signup and view all the answers

    What is precision?

    <p>how closely the results of multiple measurements taken with the same instrument agree with each other</p> Signup and view all the answers

    What is resolution?

    <p>the smallest change in value that the instrument can detect or display</p> Signup and view all the answers

    In physics, what is position?

    <p>Position is the location of an object in space with respect to a reference point.</p> Signup and view all the answers

    What is displacement?

    <p>Displacement is the change in position of an object.</p> Signup and view all the answers

    The magnitude of displacement is always equal to distance traveled.

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

    What is the formula for calculating average velocity?

    <p>$\frac{\Delta x}{\Delta t} = \frac{x_f - x_i}{t_f - t_i}$</p> Signup and view all the answers

    What is the formula for calculating instantaneous velocity?

    <p>$v_x = \lim_{\Delta t \to 0} \frac{\Delta x}{\Delta t}$</p> Signup and view all the answers

    Speed and velocity are the same thing.

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

    What is the formula for calculating average acceleration?

    <p>$a_{av,x} = \frac{\Delta v_x}{\Delta t}$</p> Signup and view all the answers

    What is the formula for calculating instantaneous acceleration where $a_x$ is instantaneous acceleration?

    <p>$a_x = \lim_{\Delta t \to 0} \frac{\Delta v_x}{\Delta t}$</p> Signup and view all the answers

    What does the plus sign (+) indicate in angular displacement?

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

    What is the formula for calculating angular displacement?

    <p>$\Delta \theta = \theta_f - \theta_i $</p> Signup and view all the answers

    What is the formula for calculating average angular velocity?

    <p>$\omega_{av} = \frac{\Delta \theta}{\Delta t}$</p> Signup and view all the answers

    What is the formula for calculating instantaneous angular velocity?

    <p>$\omega = \lim_{\Delta t \to 0} \frac{\Delta \theta}{\Delta t}$</p> Signup and view all the answers

    What is the formula for the radian?

    <p>$\theta \text{ (in radians)} = \frac{s}{r}$</p> Signup and view all the answers

    What is the formula for arc length s, given the radius $r$ and $\Delta \theta$ angle?

    <p>$s = r|\Delta\theta| = r|\theta_f - \theta_i|$</p> Signup and view all the answers

    What formula links linear speed with angular speed?

    <p>$v = r|\omega|$</p> Signup and view all the answers

    What is the formula for finding the period and frequency given angular speed and linear speed?

    <p>$|\omega| = \frac{v}{r} = \frac{2\pi}{T} = 2\pi f$</p> Signup and view all the answers

    Flashcards

    Unit System

    A standardized way of measuring physical quantities.

    Fundamental Units

    Basic measurements like meters, kilograms, and seconds.

    Conversion Factors

    Ratios used to convert one unit to another.

    Scale Factors

    Prefixes that modify units, such as kilo- or milli-.

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    Accuracy

    How close a measurement is to the true value.

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    Precision

    The consistency of repeated measurements.

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    Resolution

    The smallest change an instrument can detect.

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    Position

    The location of an object relative to a reference point.

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    Displacement vs. Distance

    Displacement is the straight line from start to end, distance is the total path.

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    Velocity

    Rate of change of position; includes direction.

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    Acceleration

    Rate of change of velocity over time.

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    Instantaneous Velocity

    Velocity at a specific instant.

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    Angular Motion

    Motion around an axis; uses angles.

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    Angular Displacement

    Change in angle in circular motion.

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    Radian Measure

    SI unit for angles; one radian equals 57.3 degrees.

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    Linear vs. Angular Velocity

    Linear velocity describes straight distance; angular velocity describes rotational speed.

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    Frequency

    Number of cycles per unit time; the inverse of period.

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    Period

    Time taken for one complete cycle.

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    Centrifuge

    A device that spins to separate substances by density.

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    Centrifugal Force

    Apparent force that pushes objects outward in a circular path.

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    Density Separation

    Process where substances separate based on their density.

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    Arc Length

    Distance along the circumference of a circle.

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    Centripetal Force

    Force that keeps an object moving in a circular path.

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    Dimensional Analysis

    A technique to check units in equations.

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    Kinematic Equations

    Equations that relate displacement, velocity, acceleration, and time.

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    Newton's Laws

    Three laws describing motion and forces.

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    Momentum

    Product of an object's mass and velocity.

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    Impulse

    Change in momentum due to a force applied over time.

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    Free Fall

    Motion under the influence of gravity alone.

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    Friction

    Force opposing motion between two surfaces in contact.

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    Study Notes

    Linear and Circular Motion

    • Learning Outcomes:
      • Recall the requirements of unit systems in physics.
      • Learn fundamental units in physics.
      • Understand unit conversions and conversion factors.
      • Familiarize with scaling factors (kilo, micro, milli, nano, etc.).
      • Grasp accuracy, precision, and resolution of instruments.
      • Understand the concept of position.
      • Differentiate displacement and distance.
      • Calculate velocity and acceleration in linear motion.
      • Learn about angular motion.
      • Express angular velocity using equations.
      • Deduce the relationship between linear and angular velocity.
      • Differentiate frequency and period in circular motion.
      • Relate circular motion to the operation of a centrifuge.

    Fundamental Physical Quantities

    • SI Base Units:
      • Length: Measured in meters (m), defined as the distance light travels in a vacuum in 1/299,792,458 seconds.
      • Mass: Measured in kilograms (kg), the mass of the international prototype of the kilogram.
      • Time: Measured in seconds (s), the duration of 9,192,631,770 periods of the radiation corresponding to the transition between two hyperfine levels of the ground state of cesium-133.
      • Electric Current: Measured in amperes (A), the constant current in two long parallel conductors.
      • Temperature: Measured in kelvin (K), 1/273.16 of the thermodynamic temperature of the triple point of water.
      • Amount of Substance: Measured in moles (mol), the amount of substance containing as many entities as there are atoms in 0.012 kg of carbon-12.
      • Luminous Intensity: Measured in candelas (cd).

    Unit Conversions

    • Charts (Table B.2): Provide conversion factors for various units (length, time, speed, volume, energy, temperature, pressure, angle, force)

    Length Scale Comparison

    • A visual representation of different length scales, ranging from silicon atoms to spiral galaxies, using prefixes and powers of ten.

    Position and Displacement

    • Position: Requires a reference point, distance, and direction.
    • Displacement: Change in position; calculated as final position minus initial position (Δx = xf – xi).

    Displacement Versus Distance

    • The magnitude of displacement isn't always equal to the total distance traveled.

    Velocity

    • Instantaneous Velocity: Calculated as the limit of displacement over time as the time interval approaches zero (vx = lim ∆t → 0 ∆x/∆t).

    Difference Between Speed and Velocity

    • Speed: Scalar, rate of covering distance, cannot be negative or zero.
    • Velocity: Vector, rate of change of position (with direction).

    Acceleration

    • Acceleration: Rate of change of velocity.

    Definition of Instantaneous Acceleration

    • Instantaneous acceleration determined by the limit of the change in velocity over a very short time interval (ax = lim Δt → 0 Δvx/ Δt).

    Circular Motion

    • Uniform circular motion: Motion in a circle at a constant speed.
    • Angular displacement: the angle an object travels in circular motion and is measured in radians.
    • Angular velocity: the rate at which an object's angle changes in circular motion, measured in radians per second.
    • Period and frequency: Period (T) is the time for one complete revolution; frequency (f) is the number of revolutions per unit time (f = 1/T). The units are Hertz (Hz).

    Relation Between Linear and Angular Speed

    • Linear speed relates to angular speed via the angular displacement (v = rω).

    Centrifuge

    • Separates mixtures based on density by applying centrifugal force.
    • A device that rotates rapidly.

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    Unit Motion PDF

    Description

    Test your understanding of linear and circular motion concepts, including unit systems, fundamental physical quantities, and the relationships between linear and angular velocities. This quiz covers essential topics such as displacement, velocity, and the principles of motion in physics. MCQ

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