Circular Motion MCQ 1
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Questions and Answers

What is the relationship between degrees and radians?

  • 1 degree = π/180 radians (correct)
  • 1 degree = 180π radians
  • 1 degree = π radians
  • 1 degree = 2π radians
  • What is the formula for linear velocity in circular motion?

  • v = ωs
  • v = ω + r
  • v = ω/r (correct)
  • v = r/ω
  • What is the unit of angular velocity?

  • degrees per second (°/s)
  • newton (N)
  • meters per second (m/s)
  • radians per second (rad/s) (correct)
  • What does centripetal acceleration represent?

    <p>Acceleration directed toward the center of the circle</p> Signup and view all the answers

    What is the formula for centripetal force?

    <p>Answers A and C</p> Signup and view all the answers

    What does angular velocity represent in circular motion?

    <p>The change in angle per unit time</p> Signup and view all the answers

    What quantity does the period of an object's motion represent?

    <p>Time taken for one revolution</p> Signup and view all the answers

    What happens to an object's velocity in uniform circular motion?

    <p>Remains constant in magnitude but changes direction</p> Signup and view all the answers

    What does centripetal acceleration provide for an object in circular motion?

    <p>It provides the force that causes the object to move in a circle.</p> Signup and view all the answers

    What is the formula to convert from degrees to radians?

    <p>Multiply by $\frac{\pi}{180}$</p> Signup and view all the answers

    What is the SI unit for centripetal acceleration?

    <p>$m s^{-2}$</p> Signup and view all the answers

    Study Notes

    Angle Measurements

    • Angles are measured in both degrees and radians
    • 1° = 1/360 of a full circle
    • To convert from degrees to radians, multiply by π/180

    Linear Velocity

    • Linear velocity (v) is the speed of a particle in a direction perpendicular to the radius at that point
    • v = ωr
    • Unit of linear velocity: ms-1

    Angular Velocity

    • Angular velocity (ω) is the rate of change of angle with respect to time
    • ω = θ/t
    • Unit of angular velocity: rad/s

    Periodic Time

    • Periodic time (T) is the time taken for one complete revolution, cycle or oscillation
    • T = 2πr/v
    • T = 2π/ω
    • Unit of periodic time: seconds (s)

    Centripetal Acceleration

    • Centripetal acceleration is the acceleration of an object traveling in uniform circular motion
    • It is directed towards the centre of the circle
    • Vector quantity with unit: m/s²

    Centripetal and Centrifugal Forces

    • Centripetal force is the force required to maintain uniform circular motion
    • It is directed towards the centre of the circle
    • Vector quantity with unit: newton (N)
    • Centrifugal force is the force outward due to an object moving in circular motion
    • The centripetal force is balanced by a reaction force, the centrifugal force

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    Description

    This quiz covers conversions between degrees and radians, as well as formulas for calculating angle in radians, linear velocity, and angular velocity in circular motion. Test your understanding of arc length and radius relationships, linear velocity calculations, and angular velocity concepts.

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