Part A A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies with time according to 0(t) = yt + Bt³, where y=0.450 rad/s and B= 0.0115 rad/. Calculate the angular velocity of the merry-go-round as a function of time. Express your answer in terms of the variables B, y, and t. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Calculating angular velocity. ? w:(t) = Submit Request Answer Part B What is the initial value of the angular velocity? Express your answer in radians per second. ? rad/s Submit Request Answer
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.
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