2.9 Circular Motion

• The force that causes an object to move in a circular path is called the centripetal force.
• Match the type of force with its description:

  Centripetal Force ↔️ Real force that causes circular motion

  Centrifugal Force ↔️ Apparent force that arises due to circular motion
• Uniform circular motion occurs when an object moves in a circular path at a constant speed.
• What is the formula for centripetal force in uniform circular motion?

  $F =$$\frac{mv^{2}}{r}$
• The smaller the radius of the circular path in uniform circular motion, the greater the centripetal force required.


  True
• What is the formula for calculating centripetal force?

  F_{c} = \frac{mv^{2}}{r}</latex>
• Match the force with its characteristic:

  Centripetal Force ↔️ Real force towards the center

  Centrifugal Force ↔️ Apparent force outward
• The tension in a string swinging a ball provides the centripetal force in uniform circular motion.


  True
• The formula for centripetal force is F_{c} = \frac{mv^{2}}{r}
• The formula for centripetal acceleration is $a_{c} =$$\frac{v^{2}}{r}$.


  True
• The period in circular motion is the time it takes for an object to complete one full revolution
• Match the quantity with its formula:

  Speed ↔️ $v =$$\frac{2 \pi r}{T} =$$2 \pi r f$

  Period ↔️ $T =$$\frac{1}{f}$

  Frequency ↔️ $f =$$\frac{1}{T}$
• What formula is used to calculate centripetal acceleration in uniform circular motion?

  $a =$$\frac{v^{2}}{r}$
• What is the direction of centripetal acceleration in uniform circular motion?

  Towards the center
• Arrange the following quantities in order of their relationship in circular motion:

  1️⃣ Speed (v)

  2️⃣ Radius (r)

  3️⃣ Period (T)

  4️⃣ Frequency (f)
• The time it takes for an object to complete one full revolution is called the period
• Match the quantity with its definition:

  Speed ↔️ Rate of travel along circular path

  Radius ↔️ Distance from center to object

  Period ↔️ Time for one revolution

  Frequency ↔️ Revolutions per second
• A wheel with a radius of 0.5 meters completes one revolution every 2 seconds. The speed of a point on the edge is 1.57 m/s.
• The period is the time it takes for an object to complete one full revolution
• Centripetal acceleration is directed towards the center of the circle.


  True
• Centripetal acceleration is measured in meters per second squared (m/s²).


  True
• Newton's Second Law explains that centripetal force causes centripetal acceleration.

  True
• Centripetal force is measured in Newtons (N).

  True
• Non-uniform circular motion involves both centripetal and tangential acceleration.


  True
• A rollercoaster going through a loop is an example of non-uniform circular motion.


  True
• Centrifugal force is a real force that pushes an object outward in circular motion.

  False
• The centripetal force is directed towards the center of the circular path.
• In uniform circular motion, the centripetal force acts perpendicular to the object's velocity.


  True
• The centripetal acceleration in uniform circular motion is given by $a =$$\frac{v^{2}}{r}$.acceleration
• Match the concept with its formula:

  Centripetal Force ↔️ $F =$$\frac{mv^{2}}{r}$

  Centripetal Acceleration ↔️ $a =$$\frac{v^{2}}{r}$
• What is the formula for calculating centripetal acceleration?

  $a_{c} =$$\frac{v^{2}}{r}$
• Uniform circular motion occurs when an object moves in a circular path at a constant speed.
• What provides the centripetal force in uniform circular motion when an object is tied to a string?

  String's tension
• What is uniform circular motion defined as?

  Motion along a circular path at constant speed
• What is speed in circular motion defined as?

  Rate of distance along circular path
• What are the units for frequency in circular motion?

  Hertz (Hz)
• Speed in circular motion can be calculated as $v =$$\frac{2 \pi r}{f}$.


  False
• In circular motion, the centrifugal force is an apparent force caused by the object's inertia
• The formula for centripetal acceleration is $a =$$\frac{v}{r}$.


  False
• Match the quantity with its unit:

  Speed ↔️ m/s

  Radius ↔️ m

  Period ↔️ s

  Frequency ↔️ Hz