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Questions and Answers
What is the characteristic of an object undergoing uniform circular motion?
What is the characteristic of an object undergoing uniform circular motion?
- Constant angular velocity (correct)
- Changing angular velocity
- Increasing linear speed
- Decelerating centripetal force
What is the direction of centripetal force?
What is the direction of centripetal force?
- Tangential to the circular path
- Radial towards the center of the circle (correct)
- Parallel to the circular path
- Perpendicular to the circular path
What is the unit of angular acceleration?
What is the unit of angular acceleration?
- radians per second squared (correct)
- revolutions per minute squared
- radians per minute squared
- degrees per second squared
What is the relationship between linear speed and angular velocity?
What is the relationship between linear speed and angular velocity?
How many revolutions does an object make in one minute if it completes 9.47 revolutions in 16 seconds?
How many revolutions does an object make in one minute if it completes 9.47 revolutions in 16 seconds?
What is the direction of the centripetal force acting on an object moving in a circular path?
What is the direction of the centripetal force acting on an object moving in a circular path?
An object is moving in a circular path with a constant angular acceleration. What can be said about its linear speed?
An object is moving in a circular path with a constant angular acceleration. What can be said about its linear speed?
A car is moving through a levelled curve with a constant speed. What can be said about its angular acceleration?
A car is moving through a levelled curve with a constant speed. What can be said about its angular acceleration?
A rotating cylinder completes 10 revolutions in 2 minutes. What is its angular velocity in revolutions per minute?
A rotating cylinder completes 10 revolutions in 2 minutes. What is its angular velocity in revolutions per minute?
An object is moving in a vertical circular path. What is the minimum speed required for it to complete the loop?
An object is moving in a vertical circular path. What is the minimum speed required for it to complete the loop?
What is the direction of the angular velocity vector in the given circular motion?
What is the direction of the angular velocity vector in the given circular motion?
What is the linear speed of a point on the circumference of the cylinder?
What is the linear speed of a point on the circumference of the cylinder?
What is the centripetal force required to keep the point on the circumference of the cylinder in circular motion?
What is the centripetal force required to keep the point on the circumference of the cylinder in circular motion?
How many revolutions will the cylinder make in 1 second?
How many revolutions will the cylinder make in 1 second?
What is the angular acceleration of the cylinder if its angular velocity increases from 10 rad/s to 12 rad/s in 2 seconds?
What is the angular acceleration of the cylinder if its angular velocity increases from 10 rad/s to 12 rad/s in 2 seconds?
Study Notes
Circular Motion
- The relation 𝒗 = 𝒓𝝎 does not hold for tangential and angular velocity vectors that point in different directions.
Uniform Circular Motion
- The angular velocity is constant in uniform circular motion.
- Apply Newton's laws of motion and energy conservation principles to analyze circular motion in:
- Vertical plane (e.g., motion in a vertical loop of an amusement park ride)
- Horizontal plane (e.g., rotating cylinder, moving through a levelled or banked curve)
Rotating Cylinder
- Example: a cylinder of radius 0.7 m rotating about its axis at 10 rad/s.
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Description
Solve a circular motion problem involving velocity and angular velocity vectors. Calculate the velocity of a rotating cylinder.
