Circular Motion – Learning objectives
At the end of this chapter the students will be able to:
- Describe angular motion.
- Define angular displacement, angular velocity and angular acceleration.
- Define radian and convert and angle from radian measure to degree and vice versa.
- Use the equation S = r Ө and v = ω.
- Describe qualitatively motion in a curved path due to a perpendicular force and understand the centripetal acceleration in case of uniform motion in a circle.
- Derive the equation /r and
- Understand and describe moment of inertia of a body.
- Understand the concept of angular momentum.
- Describe examples of conservation of angular momentum.
- Understand and express rotational kinetic energy of a disc and a hoop on an inclined plane.
- Describe the motion of artificial satellites.
- Understand that the objects in satellites appear to be weightless.
- Understand that how and why artificial gravity is produced.
- Calculate the radius of geo-stationary orbits and orbital velocity of satellites.
- Describe Newton’s and Einstein’s views of gravitation.
We have studied velocity, acceleration and the laws of motion. Mostly as they are involved in rectilinear motion. However, many objects move in circular paths and their direction is continually changing. Since velocity is a vector quantity, this change of direction means that their velocities are not constant. A stone whirled around by a string, a car turning around a corner and satellites in orbits around the earth are allow examples of this kind of motion.
In this chapter we will study, circular motion, rotational motion, moment of inertia, angular momentum and the related topics.