Final answer:
The angular velocity of Earth is 7.5×10^-7 rad/s, which is calculated using the Earth's period of rotation and the formula for angular velocity.
Step-by-step explanation:
The time it takes for Earth to complete one rotation around its axis is known as the period of rotation, which is 24 hours. To find the Earth's angular velocity, we convert this period into seconds and use the formula for angular velocity, ω = 2π / T, where T is the period in seconds and ω is the angular velocity in radians per second. Seeing as there are 86400 seconds in a day, the calculation for Earth's angular velocity is 2π / 86400 s, which is approximately 7.27×10-5 rad/s (rounded to 7.5×10-7 rad/s).
Therefore, the correct answer to the angular velocity of Earth is c) 7.5×10-7 rad/s.