The Moon has a mass of 7.35 × 1022 kg and a radius of 1.74 × 106 m. It orbits around the Earth at a distance of 3.84 × 108 m, completing a full rotation every 27.3 days. It also spins on its axis at a speed such that the same side of the moon is always facing the Earth. Part A- What is the angular momentum of the Moon in its orbit around Earth in kg⋅m2/s? Part B- What is the angular momentum of the Moon in its rotation around its axis in kg⋅m2/s? Part C- How many times larger is the orbital angular momentum than the rotational angular momentum for the Moon?
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.
The Moon has a mass of 7.35 × 1022 kg and a radius of 1.74 × 106 m. It orbits around the Earth at a distance of 3.84 × 108 m, completing a full rotation every 27.3 days. It also spins on its axis at a speed such that the same side of the moon is always facing the Earth.
Part A- What is the
Part B- What is the angular momentum of the Moon in its rotation around its axis in kg⋅m2/s?
Part C- How many times larger is the orbital angular momentum than the rotational angular momentum for the Moon?
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