Circular Motion MCQ 1

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Questions and Answers

What is the relationship between degrees and radians?

  • 1 degree = Ï€/180 radians (correct)
  • 1 degree = 180Ï€ radians
  • 1 degree = Ï€ radians
  • 1 degree = 2Ï€ 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 (C)</p> Signup and view all the answers

What is the formula for centripetal force?

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

What does angular velocity represent in circular motion?

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

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

<p>Time taken for one revolution (B)</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 (D)</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. (C)</p> Signup and view all the answers

What is the formula to convert from degrees to radians?

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

What is the SI unit for centripetal acceleration?

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

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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 Ï€/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 = 2Ï€r/v
  • T = 2Ï€/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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