2.10 Circular Motion

• What force causes an object to move in a circular path?

  Centripetal force
• The centrifugal force acts outward, away from the center
• Match the variable with its unit:

  Tangential Velocity ↔️ m/s

  Angular Velocity ↔️ rad/s

  Centripetal Acceleration ↔️ m/s²

  Frequency ↔️ Hz
• The period and frequency in circular motion are inversely proportional.


  True
• The formula for angular velocity in circular motion is \(\omega = \frac{v}{r}\), where \(r\) is the radius
• The period of an object in circular motion is inversely proportional to its frequency
• Centripetal acceleration acts inward towards the center of the circular path.

  True
• The centrifugal force is a real force acting outward during circular motion.

  False
• Centripetal acceleration acts inward towards the center of the circular path.


  True
• According to Newton's Second Law, the centripetal force in circular motion is given by F_c = ma_c
• What is the centripetal force in circular motion according to Newton's Second Law?

  $F_{c} =$$\frac{mv^{2}}{r}$
• What is the value of the centripetal force needed for a car with a mass of 1000 kg moving at 20 m/s on a track with a radius of 50 m?

  8000 N
• What is the frequency of an object that completes 2 revolutions in 10 seconds?

  0.2 Hz
• The centrifugal force is a real force experienced by objects in circular motion.

  False
• Centripetal acceleration is the acceleration directed towards the center of a circular path.


  True
• Centripetal acceleration is the acceleration directed towards the center
• What is tangential acceleration in circular motion?

  Change in tangential velocity
• What is the formula for centripetal force in circular motion?

  $F_{c} =$$\frac{mv^{2}}{r}$
• The centripetal force depends on the mass, velocity, and the radius
• The formula to calculate centripetal force is F_c
• What is the direction of the centripetal force in circular motion?

  Towards the center
• What does tangential velocity measure in circular motion?

  Speed along circumference
• Order the variables in circular motion based on their relationships:

  1️⃣ Radius

  2️⃣ Angular Velocity

  3️⃣ Centripetal Acceleration

  4️⃣ Tangential Velocity

  5️⃣ Frequency

  6️⃣ Period
• Tangential velocity in circular motion is given by \(v = \frac{2\pi r}{T}\), where \(T\) represents the period
• Match the variable with its formula in circular motion:

  Tangential Velocity ↔️ \(v = \frac{2\pi r}{T}\)

  Angular Velocity ↔️ \(\omega = \frac{v}{r}\)

  Centripetal Acceleration ↔️ \(a_c = \frac{v^2}{r}\)
• The centrifugal force is a real force experienced in circular motion.

  False
• The centripetal force exists physically, while the centrifugal force is an apparent force.

  True
• The period is the time for one complete revolution
• What is the formula for centripetal acceleration?

  $a_{c} =$$\frac{v^{2}}{r}$
• Frequency is inversely proportional to period in circular motion.

  True
• Centripetal acceleration is directed towards the center of the circular path.


  True
• Match the type of acceleration with its effect on the object's motion:

  Tangential Acceleration ↔️ Speeds up or slows down object

  Centripetal Acceleration ↔️ Maintains constant speed
• Centripetal acceleration causes the direction of velocity to change while maintaining a constant speed
• Match the type of acceleration with its effect on the object's motion:

  Tangential Acceleration ↔️ Speeds up or slows down object

  Centripetal Acceleration ↔️ Maintains constant speed
• In circular motion, the radius is measured in meters.


  True
• In the formula for centripetal force, \(v\) represents the tangential velocity.
• The period in circular motion is the time it takes for an object to complete one full revolution.
• In circular motion, the force that causes an object to move in a circular path is called the centripetal force.
• In circular motion, the speed of an object along its circular path is called the tangential velocity.
• What is the formula for calculating centripetal acceleration?

  $a_{c} =$$\frac{v^{2}}{r}$