Final answer:
To find the Earth's angular momentum in its orbit, calculate the product of the moment of inertia and the angular velocity, using the given Earth's mass and radius data.
Step-by-step explanation:
To determine the angular momentum of the Earth in its orbit around the Sun, one must calculate the product of the Earth's moment of inertia (I) and its angular velocity (ω). The moment of inertia for a spherical object like Earth is given by the formula I = 0.4MR², where M is the mass of the Earth and R is its radius. The angular velocity (ω) is expressed in radians per second and for Earth's orbit, it is related to the time it takes for one revolution around the Sun. By substituting the given values into the formula, one obtains a value for Earth's orbital angular momentum.