There are two points or on a disk with point 1 having a radius of 20 cm and point 2 has a radius of 40 cm. The disk in spinning at 0.3 radians/sec. What is the linear velocity of the point with a radius of 20 cm? What is the linear velocity of the point at a radius of 40 cm? - How does the linear velocity at 20 cm compare with that at 40 cm? How does the angular velocity, ω, compare at 20 cm and 40 cm? 40 cm has both the higher angular velocity and the higher linear velocity. 20 cm and 40 cm have the same angular velocity, but 40 cm has a higher linear velocity. 20 cm and 40 cm have the same linear velocity, but 40 cm has a higher angular velocity. 20 cm and 40 cm have the same linear velocity and angular velocity. - Now, lets say that the rotating disk is speeding up. What is true of the angular acceleration, α? 20 cm and 40 cm have the same angular acceleration, α. 40 cm has a larger angular acceleration, α than 20 cm. 20 cm has a larger angular acceleration, α than 40 cm.
Angular Momentum
The momentum of an object is given by multiplying its mass and velocity. Momentum is a property of any object that moves with mass. The only difference between angular momentum and linear momentum is that angular momentum deals with moving or spinning objects. A moving particle's linear momentum can be thought of as a measure of its linear motion. The force is proportional to the rate of change of linear momentum. Angular momentum is always directly proportional to mass. In rotational motion, the concept of angular momentum is often used. Since it is a conserved quantity—the total angular momentum of a closed system remains constant—it is a significant quantity in physics. To understand the concept of angular momentum first we need to understand a rigid body and its movement, a position vector that is used to specify the position of particles in space. A rigid body possesses motion it may be linear or rotational. Rotational motion plays important role in angular momentum.
Moment of a Force
The idea of moments is an important concept in physics. It arises from the fact that distance often plays an important part in the interaction of, or in determining the impact of forces on bodies. Moments are often described by their order [first, second, or higher order] based on the power to which the distance has to be raised to understand the phenomenon. Of particular note are the second-order moment of mass (Moment of Inertia) and moments of force.
There are two points or on a disk with point 1 having a radius of 20 cm and point 2 has a radius of 40 cm. The disk in spinning at 0.3 radians/sec.
What is the linear velocity of the point with a radius of 20 cm?
What is the linear velocity of the point at a radius of 40 cm?
- How does the linear velocity at 20 cm compare with that at 40 cm? How does the
40 cm has both the higher angular velocity and the higher linear velocity.
20 cm and 40 cm have the same angular velocity, but 40 cm has a higher linear velocity.
20 cm and 40 cm have the same linear velocity, but 40 cm has a higher angular velocity.
20 cm and 40 cm have the same linear velocity and angular velocity.
- Now, lets say that the rotating disk is speeding up. What is true of the
20 cm and 40 cm have the same angular acceleration, α.
40 cm has a larger angular acceleration, α than 20 cm.
20 cm has a larger angular acceleration, α than 40 cm.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
