3.1 Motion in a Circle

    Cards (43)

    • What is circular motion defined as?
      Movement along a circular path
    • The radius in circular motion is the distance from the center of the circle to the object's path
    • In what units is angular displacement measured?
      Radians
    • Angular velocity is measured in radians per second
    • The formula relating linear velocity, radius, and angular velocity is v = r\omega
    • What is tangential velocity in circular motion?
      Velocity along the circular path
    • The unit of radius is meters
    • What is the rate of change of angular displacement called?
      Angular velocity
    • Angular displacement is the angle through which an object moves along its circular path
    • What is the formula for angular velocity in terms of angular displacement and time?
      ω=\omega =ΔθΔt \frac{\Delta \theta}{\Delta t}
    • Arrange the properties of circular motion in the correct order based on their relationships:
      1️⃣ Angular Displacement (θ\theta)
      2️⃣ Angular Velocity (ω\omega)
      3️⃣ Linear Velocity (vv)
    • What is linear velocity in circular motion?
      Speed along the circumference
    • The linear velocity and angular velocity are related by the formula v = r\omega</latex>
    • In circular motion, what is the definition of angular velocity?
      Rate of rotation
    • In the formula v=v =rω r\omega, v</latex> represents the tangential velocity of the object.
    • Match the property with its symbol:
      Angular Displacement ↔️ \theta
      Angular Velocity ↔️ \omega
      Linear Velocity ↔️ v
      Radius ↔️ r
    • What is the unit of angular velocity?
      radians per second
    • In the relationship v=v =rω r\omega, vv and ω\omega are proportional when the radius rr is constant
    • What is linear velocity in circular motion?
      Speed along the circumference
    • Angular velocity is measured in radians per second
    • The relationship between linear velocity and angular velocity is v=v =rω r\omega
    • Match the velocity with its definition:
      Linear velocity ↔️ Speed along the circumference
      Angular velocity ↔️ Rate of rotation
    • What are the units of linear velocity?
      m/s
    • What formula relates linear velocity and angular velocity?
      v = r\omega</latex>
    • In the formula v=v =rω r\omega, rr represents the radius of the circular path
    • Linear velocity and angular velocity are proportional when the radius is constant.
    • What is centripetal acceleration?
      Acceleration in circular motion
    • The formula for centripetal acceleration is a=a =v2r \frac{v^{2}}{r}, where vv is the linear velocity
    • What is the formula for centripetal force according to Newton's second law?
      F=F =ma ma
    • Centripetal force is measured in units of Newtons
    • What is circular motion?
      Movement along a circular path
    • The radius in circular motion is the distance from the center of the circle to the object's path
    • Angular velocity is the rate at which angular displacement changes with time.
    • What is the unit of angular displacement?
      Radians
    • The relationship between angular velocity and angular displacement is ω=\omega =ΔθΔt \frac{\Delta \theta}{\Delta t}, where Δθ\Delta \theta is the change in angular displacement
    • Linear velocity and angular velocity are directly proportional when the radius is constant.
    • What direction does centripetal acceleration always point?
      Towards the center
    • The formula for centripetal acceleration is a=a =v2r \frac{v^{2}}{r}, wherev</latex> is the linear velocity
    • Match the quantity with its unit:
      Centripetal Force ↔️ Newtons
      Mass ↔️ Kilograms
      Centripetal Acceleration ↔️ m/s²
    • Steps to solve problems involving circular motion:
      1️⃣ Identify the key properties
      2️⃣ Apply the relevant formulas
      3️⃣ Substitute the given values
      4️⃣ Solve for the unknowns