Final answer:
The centripetal acceleration of the Earth in its orbit around the Sun is approximately 0.00593 m/s^2.
Step-by-step explanation:
The centripetal acceleration of the Earth in its orbit around the Sun can be calculated using the formula:
a = v2/r
Where a is the centripetal acceleration, v is the linear speed of Earth in its orbit, and r is the radius of Earth's orbit. The linear speed of Earth in its orbit is approximately 30 km/s and the radius of Earth's orbit is approximately 1.496 x 10^11 m. Plugging in these values into the formula, we get:
a = (30 km/s)^2 / (1.496 x 10^11 m) = 0.00593 m/s2
Therefore, the centripetal acceleration of the Earth in its orbit around the Sun is approximately 0.00593 m/s2.